<h1>Aschbacher, Michael</h1> <h2>Combined from <a href="https://authors.library.caltech.edu">CaltechAUTHORS</a></h2> <ul> <li>Aschbacher, Michael (2023) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20230725-746861000.32">Fusion systems with 2-small components</a>; Transactions of the American Mathematical Society; <a href="https://doi.org/10.1090/tran/8797">10.1090/tran/8797</a></li> <li>Aschbacher, Michael (2022) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20210610-093254072">Fusion systems with U₃(3) J-components</a>; Journal of Algebra; Vol. 607; 34-63; <a href="https://doi.org/10.1016/j.jalgebra.2021.06.006">10.1016/j.jalgebra.2021.06.006</a></li> <li>Aschbacher, Michael (2022) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20220901-221643366">Fusion systems with J-components over F-_(2^e) with e > 1</a>; Journal of Group Theory; <a href="https://doi.org/10.1515/jgth-2020-0156">10.1515/jgth-2020-0156</a></li> <li>Aschbacher, Michael (2021) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20201023-130934536">Walter's theorem for fusion systems</a>; Proceedings of the London Mathematical Society; Vol. 122; No. 4; 569-615; <a href="https://doi.org/10.1112/plms.12386">10.1112/plms.12386</a></li> <li>Aschbacher, Michael (2021) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20201217-124921798">Walter's basic theorem for fusion systems</a>; Journal of Algebra; Vol. 570; 595-610; <a href="https://doi.org/10.1016/j.jalgebra.2020.11.018">10.1016/j.jalgebra.2020.11.018</a></li> <li>Aschbacher, Michael (2020) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20200515-104035073">Fusion systems with alternating J‐components</a>; Journal of the London Mathematical Society; Vol. 102; No. 3; 905-956; <a href="https://doi.org/10.1112/jlms.12335">10.1112/jlms.12335</a></li> <li>Aschbacher, Michael (2020) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20190822-100100397">The 2-fusion system of an almost simple group</a>; Journal of Algebra; Vol. 561; 5-16; <a href="https://doi.org/10.1016/j.jalgebra.2019.08.017">10.1016/j.jalgebra.2019.08.017</a></li> <li>Aschbacher, Michael (2017) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170928-081918166">The subgroup structure of finite groups</a>; ISBN 978-1-4704-3678-0; Finite Simple Groups: Thirty Years of the Atlas and Beyond; 111-121; <a href="https://doi.org/10.1090/conm/694/13959">10.1090/conm/694/13959</a></li> <li>Aschbacher, Michael and Oliver, Bob (2016) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20161116-124215563">Fusion systems</a>; Bulletin of the American Mathematical Society; Vol. 53; No. 4; 555-615; <a href="https://doi.org/10.1090/bull/1538">10.1090/bull/1538</a></li> <li>Aschbacher, Michael (2016) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20160527-090500481">N-groups and fusion systems</a>; Journal of Algebra; Vol. 449; 264-320; <a href="https://doi.org/10.1016/j.jalgebra.2015.10.011">10.1016/j.jalgebra.2015.10.011</a></li> <li>Aschbacher, Michael (2016) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20160425-141046633">Overgroups of Root Groups in Classical Groups</a>; ISBN 978-1-4704-1845-8; Overgroups of root groups in classical groups; <a href="https://doi.org/10.1090/memo/1140">10.1090/memo/1140</a></li> <li>Aschbacher, Michael (2016) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20160708-073018195">Daniel Gorenstein, 1923-1992 - A Biographical Memoir by Michael Aschbacher</a>; Biographical Memoirs; 1-17</li> <li>Aschbacher, Michael (2014) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20131209-104216789">Finite Groups of Seitz Type</a>; Proceedings of the American Mathematical Society; Vol. 142; No. 1; 113-120; <a href="https://doi.org/10.1090/S0002-9939-2013-11752-1">10.1090/S0002-9939-2013-11752-1</a></li> <li>Aschbacher, Michael (2013) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20130509-100832818">Overgroup lattices in finite groups of Lie type containing a parabolic</a>; Journal of Algebra; Vol. 382; 71-99; <a href="https://doi.org/10.1016/j.jalgebra.2013.01.034">10.1016/j.jalgebra.2013.01.034</a></li> <li>Aschbacher, Michael (2013) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20130327-114824399">Fusion systems of F_2-type</a>; Journal of Algebra; Vol. 378; 217-262; <a href="https://doi.org/10.1016/j.jalgebra.2012.12.018">10.1016/j.jalgebra.2012.12.018</a></li> <li>Aschbacher, Michael (2013) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20130607-083326320">S_3-free 2-fusion systems</a>; Proceedings of the Edinburgh Mathematical Society; Vol. 56; No. 1; 27-48; <a href="https://doi.org/10.1017/S0013091512000235">10.1017/S0013091512000235</a></li> <li>Aschbacher, Michael and Lyons, Richard, el al. (2012) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20180807-133142929">2012 Steele Prizes</a>; Notices of the American Mathematical Society; Vol. 59; No. 4; 563-566; <a href="https://doi.org/10.1090/noti826">10.1090/noti826</a></li> <li>Aschbacher, Michael (2012) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20120525-104153526">Lower signalizer lattices in alternating and symmetric groups</a>; Journal of Group Theory; Vol. 15; No. 2; 151-225; <a href="https://doi.org/10.1515/jgt-2011-0112">10.1515/jgt-2011-0112</a></li> <li>Aschbacher, Michael and Kessar, Radha, el al. (2011) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20180807-124803752">Fusion Systems in Algebra and Topology</a>; ISBN 9781139003841; <a href="https://doi.org/10.1017/CBO9781139003841">10.1017/CBO9781139003841</a></li> <li>Aschbacher, Michael (2010) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20100513-152930353">Generation of fusion systems of characteristic 2-type</a>; Inventiones Mathematicae; Vol. 180; No. 2; 225-299; <a href="https://doi.org/10.1007/s00222-009-0229-z">10.1007/s00222-009-0229-z</a></li> <li>Aschbacher, Michael and Chermak, Andrew (2010) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20100806-092914498">A group-theoretic approach to a family of 2-local finite groups constructed by Levi and Oliver</a>; Annals of Mathematics; Vol. 171; No. 2; 881-978</li> <li>Aschbacher, Michael and Shareshian, John (2009) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20091210-094932243">Restrictions on the structure of subgroup lattices of finite alternating and symmetric groups</a>; Journal of Algebra; Vol. 322; No. 7; 2449-2463; <a href="https://doi.org/10.1016/j.jalgebra.2009.05.042">10.1016/j.jalgebra.2009.05.042</a></li> <li>Aschbacher, Michael (2009) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20090817-144817879">Overgroups of primitive groups, II</a>; Journal of Algebra; Vol. 322; No. 5; 1586-1626; <a href="https://doi.org/10.1016/j.jalgebra.2009.04.044">10.1016/j.jalgebra.2009.04.044</a></li> <li>Aschbacher, Michael (2009) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20091020-133518121">Overgroups of Primitive Groups</a>; Journal of the Australian Mathematical Sociey; Vol. 87; No. 1; 37-82; <a href="https://doi.org/10.1017/S1446788708000785">10.1017/S1446788708000785</a></li> <li>Aschbacher, Michael (2009) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20090811-091248605">Signalizer lattices in finite groups</a>; Michigan Mathematical Journal; Vol. 58; No. 1; 79-103; <a href="https://doi.org/10.1307/mmj/1242071684">10.1307/mmj/1242071684</a></li> <li>Aschbacher, Michael (2008) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20180802-143851994">On a question of Farjoun</a>; ISBN 978-3-11-019812-6; Finite Groups 2003 : Proceedings of the Gainesville Conference on Finite Groups; 1-28; <a href="https://doi.org/10.1515/9783110198126.1">10.1515/9783110198126.1</a></li> <li>Aschbacher, Michael (2008) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20180810-075919663">Normal subsystems of fusion systems</a>; Proceedings of the London Mathematical Society; Vol. 97; No. 1; 239-271; <a href="https://doi.org/10.1112/plms/pdm057">10.1112/plms/pdm057</a></li> <li>Aschbacher, Michael (2008) <a href="https://resolver.caltech.edu/CaltechAUTHORS:ASCjams08">On intervals in subgroup lattices of finite groups</a>; Journal of the American Mathematical Society; Vol. 21; No. 3; 809-830; <a href="https://doi.org/10.1090/S0894-0347-08-00602-4">10.1090/S0894-0347-08-00602-4</a></li> <li>Aschbacher, Michael and Childs, Andrew M., el al. (2007) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20190826-124740760">The limitations of nice mutually unbiased bases</a>; Journal of Algebraic Combinatorics; Vol. 25; No. 2; 111-123; <a href="https://doi.org/10.1007/s10801-006-0002-y">10.1007/s10801-006-0002-y</a></li> <li>Aschbacher, Michael and Guralnick, Robert, el al. (2007) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20100503-094555816">Elementary abelian 2-subgroups of Sidki-type in finite groups</a>; Groups, Geometry, and Dynamics; Vol. 1; No. 4; 347-400; <a href="https://doi.org/10.4171/GGD/18">10.4171/GGD/18</a></li> <li>Aschbacher, Michael and Kinyon, Michael K., el al. (2006) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20110209-094820472">Finite Bruck loops</a>; Transactions of the American Mathematical Society; Vol. 358; No. 7; 3061-3075; <a href="https://doi.org/10.1090/S0002-9947-05-03778-5">10.1090/S0002-9947-05-03778-5</a></li> <li>Aschbacher, Michael (2005) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20200916-090615838">Highly complex proofs and implications of such proofs</a>; Philosophical Transactions A: Mathematical, Physical and Engineering Sciences; Vol. 363; No. 1835; 2401-2406; <a href="https://doi.org/10.1098/rsta.2005.1655">10.1098/rsta.2005.1655</a></li> <li>Aschbacher, Michael (2004) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20110817-103540228">The Status of the Classification of the Finite Simple Groups</a>; Notices of the American Mathematical Society; Vol. 51; No. 7; 736-740</li> <li>Aschbacher, Michael (2003) <a href="https://resolver.caltech.edu/CaltechAUTHORS:ASCijm03">A 2-local characterization of M(12)</a>; Illinois Journal of Mathematics; Vol. 47; No. 1-2; 31-47</li> <li>Aschbacher, Michael (2000) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170710-101117286">On Primitive Linear Representations of Finite Groups</a>; Journal of Algebra; Vol. 234; No. 2; 627-640; <a href="https://doi.org/10.1006/jabr.2000.8532">10.1006/jabr.2000.8532</a></li> <li>Aschbacher, Michael G. and Smith, Stephen D. (1998) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20200512-100004286">Quasithin Groups</a>; ISBN 978-3-0348-9785-3; Groups and Geometries; 1-7; <a href="https://doi.org/10.1007/978-3-0348-8819-6_1">10.1007/978-3-0348-8819-6_1</a></li> <li>Aschbacher, Michael (1998) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20200512-081608756">Quasithin Groups</a>; ISBN 978-0-7923-5292-1; Algebraic Groups and their Representations; 321-340; <a href="https://doi.org/10.1007/978-94-011-5308-9_18">10.1007/978-94-011-5308-9_18</a></li> <li>Aschbacher, Michael (1997) <a href="https://resolver.caltech.edu/CaltechAUTHORS:ASCpjm97">Finite groups acting on homology manifolds</a>; Pacific Journal of Mathematics; Vol. 181; No. 3; 3-36</li> <li>Aschbacher, Michael (1993) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20200512-131404038">Simple connectivity of p-group complexes</a>; Israel Journal of Mathematics; Vol. 82; No. 1-3; 1-43; <a href="https://doi.org/10.1007/bf02808107">10.1007/bf02808107</a></li> <li>Aschbacher, M. and Segev, Y. (1992) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20200512-125900851">Locally connected simplicial maps</a>; Israel Journal of Mathematics; Vol. 77; No. 3; 285-303; <a href="https://doi.org/10.1007/bf02773693">10.1007/bf02773693</a></li> <li>Aschbacher, Michael and Kleidman, Peter B., el al. (1991) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20200512-074240672">Exponents of almost simple groups and an application to the restricted Burnside problem</a>; Mathematische Zeitschrift; Vol. 208; No. 1; 401-409; <a href="https://doi.org/10.1007/bf02571536">10.1007/bf02571536</a></li> <li>Aschbacher, Michael and Segev, Yoav (1991) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20200512-075747975">The uniqueness of groups of type J₄</a>; Inventiones Mathematicae; Vol. 105; No. 1; 589-607; <a href="https://doi.org/10.1007/bf01232280">10.1007/bf01232280</a></li> <li>Aschbacher, Michael (1990) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20170810-072647371">On conjectures of Guralnick and Thompson</a>; Journal of Algebra; Vol. 135; No. 2; 277-343; <a href="https://doi.org/10.1016/0021-8693(90)90292-V">10.1016/0021-8693(90)90292-V</a></li> <li>Aschbacher, Michael (1990) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20200512-071755284">The existence of J₃ and its embeddings in E₆</a>; Geometriae Dedicata; Vol. 35; No. 1-3; 143-154; <a href="https://doi.org/10.1007/bf00147344">10.1007/bf00147344</a></li> <li>Aschbacher, Michael and Kleidman, Peter B. (1990) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20200512-073808676">On a conjecture of Quillen and a lemma of Robinson</a>; Archiv der Mathematik; Vol. 55; No. 3; 209-217; <a href="https://doi.org/10.1007/bf01191159">10.1007/bf01191159</a></li> <li>Aschbacher, Michael (1988) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20200930-113055206">Some multilinear forms with large isometry groups</a>; Geometriae Dedicata; Vol. 25; No. 1-3; 417-465; <a href="https://doi.org/10.1007/bf00191936">10.1007/bf00191936</a></li> <li>Aschbacher, Michael (1988) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20200930-113055093">Some Multilinear Forms with Large Isometry Groups</a>; ISBN 9789401082822; Geometries and Groups; 417-465; <a href="https://doi.org/10.1007/978-94-009-4017-8_15">10.1007/978-94-009-4017-8_15</a></li> <li>Aschbacher, M. and Cohen, A. M., el al. (1987) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20190814-100149802">Geometries and Groups</a>; ISBN 978-94-010-8282-2; <a href="https://doi.org/10.1007/978-94-009-4017-8">10.1007/978-94-009-4017-8</a></li> <li>Aschbacher, Michael (1986) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20201001-145810955">Finite simple groups and their subgroups</a>; ISBN 9783540164562; Group Theory, Beijing 1984; 1-57; <a href="https://doi.org/10.1007/bfb0076170">10.1007/bfb0076170</a></li> <li>Aschbacher, Michael (1980) <a href="https://resolver.caltech.edu/CaltechAUTHORS:20190814-100802612">Classification of the Finite Simple Groups</a>; Mathematical Intelligencer; Vol. 3; No. 2; 59-65; <a href="https://doi.org/10.1007/bf03022850">10.1007/bf03022850</a></li> <li>Aschbacher, Michael (1973) <a href="https://resolver.caltech.edu/CaltechAUTHORS:ASCpjm73">A characterization of the unitary and symplectic groups over finite fields of characteristic at least $5$</a>; Pacific Journal of Mathematics; Vol. 47; No. 1; 5-26</li> </ul>