Aschbacher, Michael

Combined from CaltechAUTHORS

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