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## Aschbacher, Michael George

Compute Distance To:
 Author ID: aschbacher.michael-george Published as: Aschbacher, M.; Aschbacher, Michael; Aschbacher, Michael G. External Links: MGP · Math-Net.Ru · Wikidata · dblp · GND Awards: Wolf Prize (2012)
 Documents Indexed: 148 Publications since 1971, including 19 Books
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#### Co-Authors

 108 single-authored 8 Segev, Yoav 6 Smith, Stephen D. 4 Guralnick, Robert Michael 4 Lyons, Richard 4 Seitz, Gary M. 3 Gorenstein, Daniel 2 Cohen, Arjeh Marcel 2 Feit, Walter 2 Hall, Marshall jun. 2 Kantor, William M. 2 Kleidman, Peter B. 2 Oliver, Bob 2 O’Nan, Michael E. 2 Sims, Charles Coffin 1 Baldi, Pierre 1 Baum, Eric B. 1 Blasius, Don 1 Chermak, Andrew L. 1 Childs, Andrew M. 1 Kessar, Radha 1 Kinyon, Michael K. 1 Liebeck, Martin Walter 1 Meierfrankenfeld, Ulrich 1 Phillips, James D. 1 Ramakrishnan, Dinakar 1 Scott, Leonard L. 1 Shareshian, John 1 Solomon, Ronald Mark 1 Stellmacher, Bernd 1 Wilson, Richard Michael 1 Wocjan, Pawel
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#### Serials

 33 Journal of Algebra 8 Illinois Journal of Mathematics 7 Annals of Mathematics. Second Series 6 Inventiones Mathematicae 4 Geometriae Dedicata 4 Mathematische Zeitschrift 4 Memoirs of the American Mathematical Society 4 Proceedings of the American Mathematical Society 4 Proceedings of the London Mathematical Society. Third Series 3 Communications in Algebra 3 Transactions of the American Mathematical Society 3 Cambridge Studies in Advanced Mathematics 3 Mathematical Surveys and Monographs 2 Israel Journal of Mathematics 2 Nagoya Mathematical Journal 2 Osaka Journal of Mathematics 2 Journal of the American Mathematical Society 2 Bulletin of the American Mathematical Society. New Series 2 Notices of the American Mathematical Society 2 Journal of Group Theory 2 Cambridge Tracts in Mathematics 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Uspekhi Matematicheskikh Nauk [N. S.] 1 The Mathematical Intelligencer 1 American Journal of Mathematics 1 Archiv der Mathematik 1 Journal of Combinatorial Theory. Series A 1 Journal of the London Mathematical Society. Second Series 1 Michigan Mathematical Journal 1 Pacific Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 The Quarterly Journal of Mathematics. Oxford Second Series 1 SIAM Journal on Algebraic and Discrete Methods 1 Journal of the Ramanujan Mathematical Society 1 Algebras, Groups and Geometries 1 Journal of Algebraic Combinatorics 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Journal of the Australian Mathematical Society 1 Bulletin of the American Mathematical Society 1 London Mathematical Society Lecture Note Series 1 Groups, Geometry, and Dynamics
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#### Fields

 139 Group theory and generalizations (20-XX) 13 Algebraic topology (55-XX) 12 Geometry (51-XX) 9 Combinatorics (05-XX) 8 Order, lattices, ordered algebraic structures (06-XX) 6 General and overarching topics; collections (00-XX) 5 Number theory (11-XX) 4 General algebraic systems (08-XX) 4 Manifolds and cell complexes (57-XX) 3 Field theory and polynomials (12-XX) 2 Functional analysis (46-XX) 1 History and biography (01-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Functions of a complex variable (30-XX) 1 Computer science (68-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX)

#### Citations contained in zbMATH Open

130 Publications have been cited 2,583 times in 1,666 Documents Cited by Year
Finite group theory. Zbl 0583.20001
Aschbacher, Michael
1986
On the maximal subgroups of the finite classical groups. Zbl 0537.20023
Aschbacher, M.
1984
Involutions in Chevalley groups over fields of even order. Zbl 0359.20014
Aschbacher, Michael; Seitz, Gary M.
1976
Some applications of the first cohomology group. Zbl 0554.20017
Aschbacher, M.; Guralnick, R.
1984
Fusion systems in algebra and topology. Zbl 1255.20001
Aschbacher, Michael; Kessar, Radha; Oliver, Bob
2011
Finite group theory. 2nd ed. Zbl 0997.20001
Aschbacher, Michael
2000
Maximal subgroups of finite groups. Zbl 0549.20011
Aschbacher, M.; Scott, L.
1985
A characterization of Chevalley groups over fields of odd order. I, II. Zbl 0393.20011
Aschbacher, Michael
1977
The classification of the finite simple groups. Zbl 0965.20009
Aschbacher, M.
2000
On groups with a standard component of known type. Zbl 0374.20015
Aschbacher, Michael; Seitz, Gray M.
1976
Chevalley groups of type $$G_ 2$$ as the group of a trilinear form. Zbl 0618.20030
Aschbacher, Michael
1987
On finite groups of component type. Zbl 0299.20013
Aschbacher, Michael
1975
Aschbacher, Michael
1994
Flag structures on Tits geometries. Zbl 0523.51008
Aschbacher, Michael
1983
The 27-dimensional module for $$E_ 6$$. I. Zbl 0629.20018
Aschbacher, Michael
1987
$$3$$-transposition groups. Zbl 0883.20010
Aschbacher, Michael
1997
Finite group theory. Corrected reprint of the 1986 orig. Zbl 0826.20001
Aschbacher, Michael
1993
Overgroups of Sylow subgroups in sporadic groups. Zbl 0585.20005
Aschbacher, Michael
1986
On collineation groups of symmetric block designs. Zbl 0223.05006
Aschbacher, Michael
1971
Some multilinear forms with large isometry groups. Zbl 0646.20033
Aschbacher, Michael
1988
Normal subsystems of fusion systems. Zbl 1241.20026
Aschbacher, Michael
2008
Groups generated by a class of elements of order 3. Zbl 0253.20018
Aschbacher, Michael; Hall, Marshall jun.
1973
The nonexistence of rank three permutation groups of degree 3250 and subdegree 57. Zbl 0225.20002
Aschbacher, Michael
1971
The generalized Fitting subsystem of a fusion system. Zbl 1278.20020
Aschbacher, Michael
2011
On finite groups of Lie type and odd characteristic. Zbl 0445.20008
Aschbacher, Michael
1980
The classification of quasithin groups. I: Structure of strongly quasithin $$\mathcal K$$-groups. Zbl 1065.20023
Aschbacher, Michael; Smith, Stephen D.
2004
On finite groups in which the generalized Fitting group of the centralizer of some involution is extraspecial. Zbl 0358.20024
Aschbacher, Michael
1977
On finite groups generated by odd transpositions. I. Zbl 0225.20020
Aschbacher, Michael
1972
On Abelian quotients of primitive groups. Zbl 0679.20001
Aschbacher, Michael; Guralnick, Robert M.
1989
Finite groups with a proper 2-generated core. Zbl 0302.20025
Aschbacher, Michael
1974
GF(2)-representations of finite groups. Zbl 0497.20007
Aschbacher, Michael
1982
Solvable generation of groups and Sylow subgroups of the lower central series. Zbl 0485.20012
Aschbacher, M.; Guralnick, R.
1982
On finite groups generated by odd transpositions. IV. Zbl 0277.20036
Aschbacher, Michael
1973
Near subgroups of finite groups. Zbl 0902.20010
Aschbacher, Michael
1998
The 27-dimensional module for $$E_ 6$$. IV. Zbl 0698.20031
Aschbacher, Michael
1990
Tits geometries over $$\mathrm{GF}(2)$$ defined by groups over $$\mathrm{GF}(3)$$. Zbl 0518.51007
Aschbacher, Michael; Smith, Stephen D.
1983
Tightly embedded subgroups of finite groups. Zbl 0372.20012
Aschbacher, Michael
1976
Simple connectivity of $$p$$-group complexes. Zbl 0829.20031
Aschbacher, Michael
1993
Standard components of alternating type centralized by a 4-group. Zbl 1144.20007
Aschbacher, Michael
2008
On Bol loops of exponent 2. Zbl 1090.20037
Aschbacher, Michael
2005
A factorization theorem for 2-constrained groups. Zbl 0486.20012
Aschbacher, Michael
1981
Finite geometries of type $$C_ 3$$ with flag-transitive groups. Zbl 0548.51005
Aschbacher, Michael
1984
Finite groups in which the generalized Fitting group of the centralizer of some involution is symplectic but not extraspecial. Zbl 0345.20024
Aschbacher, Michael
1976
Generation of fusion systems of characteristic 2-type. Zbl 1234.20025
Aschbacher, Michael
2010
On intervals in subgroup lattices of finite groups. Zbl 1215.20022
Aschbacher, Michael
2008
The status of the classification of the finite simple groups. Zbl 1113.20302
Aschbacher, Michael
2004
Extending morphisms of groups and graphs. Zbl 0778.20009
Aschbacher, Michael; Segev, Yoav
1992
Doubly transitive groups in which the stabilizer of two points in abelian. Zbl 0217.35202
Aschbacher, M.
1971
On Quillen’s conjecture for the $$p$$-groups complex. Zbl 0782.20039
Aschbacher, Michael; Smith, Stephen D.
1993
The 27-dimensional module for $$E_ 6$$. III. Zbl 0698.20030
Aschbacher, Michael
1990
The limitations of nice mutually unbiased bases. Zbl 1109.81016
Aschbacher, Michael; Childs, Andrew M.; Wocjan, Paweł
2007
The 27-dimensional module for $$E_ 6$$. II. Zbl 0662.20030
Aschbacher, Michael
1988
Thin finite simple groups. Zbl 0418.20008
Aschbacher, Michael
1978
$${\mathfrak F}$$-sets and permutation groups. Zbl 0295.20005
Aschbacher, Michael
1974
The uniqueness case for finite groups. I, II. Zbl 0518.20009
Aschbacher, Michael
1983
A pushing up theorem for characteristic 2 type groups. Zbl 0381.20012
Aschbacher, Michael
1978
A homomorphism theorem for finite graphs. Zbl 0319.05115
Aschbacher, Michael
1976
A condition for the existence of a strongly embedded subgroup. Zbl 0259.20008
Aschbacher, Michael
1973
$$S_3$$-free 2-fusion systems. Zbl 1278.20021
Aschbacher, Michael
2013
On a conjecture of Quillen and a lemma of Robinson. Zbl 0723.20012
Aschbacher, Michael; Kleidman, Peter B.
1990
A characterization of the unitary and symplectic groups over finite fields of characteristic at least 5. Zbl 0299.20009
Aschbacher, Michael
1973
Overgroups of primitive groups. Zbl 1190.20012
Aschbacher, Michael
2009
Overgroups of primitive groups. II. Zbl 1190.20013
Aschbacher, Michael
2009
On conjectures of Guralnick and Thompson. Zbl 0724.20002
Aschbacher, Michael
1990
The embedding of 2-locals in finite groups of characteristic 2-type. I, II. Zbl 0476.20014
Aschbacher, Michael; Gorenstein, Daniel; Lyons, Richard
1981
Correction to ”A characterization of Chevalley groups over fields of odd order”. Zbl 0429.20020
Aschbacher, Michael
1980
A characterization of certain Chevalley groups and its application to component type groups. Zbl 0356.20009
Aschbacher, Michael
1976
Fusion systems. Zbl 1397.20028
Aschbacher, Michael; Oliver, Bob
2016
A group-theoretic approach to a family of 2-local finite groups constructed by Levi and Oliver. Zbl 1213.20017
Aschbacher, Michael; Chermak, Andrew
2010
The geometry of trilinear forms. Zbl 0752.11020
Aschbacher, Michael
1990
On the failure of the Thompson factorization in 2-constrained groups. Zbl 0486.20011
Aschbacher, Michael
1981
Some results on pushing up in finite groups. Zbl 0453.20009
Aschbacher, Michael
1981
On doubly transitive permutation groups of degree n $$\equiv$$ 2 mod 4. Zbl 0251.20003
Aschbacher, Michael
1972
Restrictions on the structure of subgroup lattices of finite alternating and symmetric groups. Zbl 1185.20020
Aschbacher, Michael; Shareshian, John
2009
Signalizer lattices in finite groups. Zbl 1177.20034
Aschbacher, Michael
2009
Locally connected simplicial maps. Zbl 0793.57011
Aschbacher, M.; Segev, Y.
1992
Finite groups of rank 3. II. Zbl 0502.20004
Aschbacher, Michael
1983
Thin finite simple groups. Zbl 0326.20011
Aschbacher, Michael
1976
On finite groups generated by odd transpositions. II. Zbl 0277.20034
Aschbacher, Michael
1973
Finite Bruck loops. Zbl 1102.20046
Aschbacher, Michael; Kinyon, Michael K.; Phillips, J. D.
2006
A 2-local characterization of $$M_{12}$$. Zbl 1032.20012
Aschbacher, Michael
2003
The existence of $$J_ 3$$ and its embeddings in $$E_ 6$$. Zbl 0703.20013
Aschbacher, Michael
1990
Embeddings of ultrametric spaces in finite dimensional structures. Zbl 0639.51018
Aschbacher, Michael; Baldi, Pierre; Baum, Eric B.; Wilson, Richard M.
1987
2-components in finite groups. Zbl 0326.20024
Aschbacher, Michael
1975
Fusion systems of $$\mathbf F_2$$-type. Zbl 1297.20017
Aschbacher, Michael
2013
The classification of finite simple groups. Groups of characteristic 2 type. Zbl 1218.20007
Aschbacher, Michael; Lyons, Richard; Smith, Stephen D.; Solomon, Ronald
2011
On a question of Farjoun. Zbl 1142.20304
Aschbacher, Michael
2004
The uniqueness of groups of Lyons type. Zbl 0758.20002
Aschbacher, Michael; Segev, Yoav
1992
Subgroup structure of finite groups. Zbl 0678.20004
Aschbacher, M.
1984
Proceedings of the Rutgers Group Theory Year, 1983-1984 (held at Rutgers University, New Brunswick, N.J.). Zbl 0633.00009
Aschbacher, Michael (ed.); Gorenstein, Daniel (ed.); Lyons, Richard (ed.); O’Nan, Michael (ed.); Sims, Charles (ed.); Feit, Walter (ed.)
1984
Weak closure in finite groups of even characteristic. Zbl 0472.20006
Aschbacher, Michael
1981
Finite groups of rank 3.I. Zbl 0459.20005
Aschbacher, Michael
1981
2-transitive groups whose 2-point stabilizer has 2-rank 1. Zbl 0341.20002
Aschbacher, Michael
1975
A characterization of certain Frobenius groups. Zbl 0292.20022
Aschbacher, Michael
1974
A class of generalized TI-groups. Zbl 0243.20012
Aschbacher, Michael
1972
Overgroup lattices in finite groups of Lie type containing a parabolic. Zbl 1293.20016
Aschbacher, Michael
2013
Representations of groups on finite simplicial complexes. Zbl 0852.20005
Aschbacher, Michael
1995
The uniqueness of groups of type $$J_ 4$$. Zbl 0735.20006
Aschbacher, Michael; Segev, Yoav
1991
Chromatic geometry. Zbl 0641.05018
Aschbacher, Michael
1987
Finite simple groups and their subgroups. Zbl 0585.20004
Aschbacher, Michael
1986
On fusion systems of component type. Zbl 07069171
Aschbacher, Michael
2019
Fusion systems. Zbl 1397.20028
Aschbacher, Michael; Oliver, Bob
2016
N-groups and fusion systems. Zbl 1350.20012
Aschbacher, Michael
2016
Finite groups of Seitz type. Zbl 1286.20012
Aschbacher, Michael
2014
$$S_3$$-free 2-fusion systems. Zbl 1278.20021
Aschbacher, Michael
2013
Fusion systems of $$\mathbf F_2$$-type. Zbl 1297.20017
Aschbacher, Michael
2013
Overgroup lattices in finite groups of Lie type containing a parabolic. Zbl 1293.20016
Aschbacher, Michael
2013
Lower signalizer lattices in alternating and symmetric groups. Zbl 1255.20017
Aschbacher, Michael
2012
Fusion systems in algebra and topology. Zbl 1255.20001
Aschbacher, Michael; Kessar, Radha; Oliver, Bob
2011
The generalized Fitting subsystem of a fusion system. Zbl 1278.20020
Aschbacher, Michael
2011
The classification of finite simple groups. Groups of characteristic 2 type. Zbl 1218.20007
Aschbacher, Michael; Lyons, Richard; Smith, Stephen D.; Solomon, Ronald
2011
Generation of fusion systems of characteristic 2-type. Zbl 1234.20025
Aschbacher, Michael
2010
A group-theoretic approach to a family of 2-local finite groups constructed by Levi and Oliver. Zbl 1213.20017
Aschbacher, Michael; Chermak, Andrew
2010
Overgroups of primitive groups. Zbl 1190.20012
Aschbacher, Michael
2009
Overgroups of primitive groups. II. Zbl 1190.20013
Aschbacher, Michael
2009
Restrictions on the structure of subgroup lattices of finite alternating and symmetric groups. Zbl 1185.20020
Aschbacher, Michael; Shareshian, John
2009
Signalizer lattices in finite groups. Zbl 1177.20034
Aschbacher, Michael
2009
Normal subsystems of fusion systems. Zbl 1241.20026
Aschbacher, Michael
2008
Standard components of alternating type centralized by a 4-group. Zbl 1144.20007
Aschbacher, Michael
2008
On intervals in subgroup lattices of finite groups. Zbl 1215.20022
Aschbacher, Michael
2008
Isotopy and geotopy for ternary rings of projective planes. Zbl 1143.51001
Aschbacher, Michael
2008
The limitations of nice mutually unbiased bases. Zbl 1109.81016
Aschbacher, Michael; Childs, Andrew M.; Wocjan, Paweł
2007
Elementary Abelian 2-subgroups of Sidki-type in finite groups. Zbl 1135.20008
Aschbacher, Michael; Guralnick, Robert; Segev, Yoav
2007
Finite Bruck loops. Zbl 1102.20046
Aschbacher, Michael; Kinyon, Michael K.; Phillips, J. D.
2006
Projective planes, loops, and groups. Zbl 1103.20063
Aschbacher, Michael
2006
On Bol loops of exponent 2. Zbl 1090.20037
Aschbacher, Michael
2005
Highly complex proofs and implications of such proofs. Zbl 1152.00308
Aschbacher, Michael
2005
The classification of quasithin groups. I: Structure of strongly quasithin $$\mathcal K$$-groups. Zbl 1065.20023
Aschbacher, Michael; Smith, Stephen D.
2004
The status of the classification of the finite simple groups. Zbl 1113.20302
Aschbacher, Michael
2004
On a question of Farjoun. Zbl 1142.20304
Aschbacher, Michael
2004
The classification of quasithin groups. II: Main theorems: the classification of simple QTKE-groups. Zbl 1065.20024
Aschbacher, Michael; Smith, Stephen D.
2004
A 2-local characterization of $$M_{12}$$. Zbl 1032.20012
Aschbacher, Michael
2003
A 2-local characterization of the Higman-Sims group. Zbl 1025.20004
Aschbacher, Michael
2003
Finite groups of $$G_2(3)$$-type. Zbl 1014.20006
Aschbacher, Michael
2002
Counting involutions. Zbl 1006.20013
Aschbacher, Michael; Meierfrankenfeld, Ulrich; Stellmacher, Bernd
2001
Finite group theory. 2nd ed. Zbl 0997.20001
Aschbacher, Michael
2000
The classification of the finite simple groups. Zbl 0965.20009
Aschbacher, M.
2000
On primitive linear representations of finite groups. Zbl 0991.20008
Aschbacher, Michael
2000
Near subgroups of finite groups. Zbl 0902.20010
Aschbacher, Michael
1998
Finite groups acting on homology manifolds. Zbl 0912.57021
Aschbacher, Michael
1998
$$3$$-transposition groups. Zbl 0883.20010
Aschbacher, Michael
1997
Combinatorial cell complexes. Zbl 0884.05097
Aschbacher, Michael
1996
Representations of groups on finite simplicial complexes. Zbl 0852.20005
Aschbacher, Michael
1995
Aschbacher, Michael
1994
Finite group theory. Corrected reprint of the 1986 orig. Zbl 0826.20001
Aschbacher, Michael
1993
Simple connectivity of $$p$$-group complexes. Zbl 0829.20031
Aschbacher, Michael
1993
On Quillen’s conjecture for the $$p$$-groups complex. Zbl 0782.20039
Aschbacher, Michael; Smith, Stephen D.
1993
A fixed point theorem for groups acting on finite $$2$$-dimensional acyclic simplicial complexes. Zbl 0834.57022
Aschbacher, Michael; Segev, Yoav
1993
Extending morphisms of groups and graphs. Zbl 0778.20009
Aschbacher, Michael; Segev, Yoav
1992
Locally connected simplicial maps. Zbl 0793.57011
Aschbacher, M.; Segev, Y.
1992
The uniqueness of groups of Lyons type. Zbl 0758.20002
Aschbacher, Michael; Segev, Yoav
1992
Uniqueness of sporadic groups. Zbl 0806.20015
Aschbacher, Michael; Segev, Yoav
1992
The uniqueness of groups of type $$J_ 4$$. Zbl 0735.20006
Aschbacher, Michael; Segev, Yoav
1991
The 27-dimensional module for $$E_ 6$$. IV. Zbl 0698.20031
Aschbacher, Michael
1990
The 27-dimensional module for $$E_ 6$$. III. Zbl 0698.20030
Aschbacher, Michael
1990
On a conjecture of Quillen and a lemma of Robinson. Zbl 0723.20012
Aschbacher, Michael; Kleidman, Peter B.
1990
On conjectures of Guralnick and Thompson. Zbl 0724.20002
Aschbacher, Michael
1990
The geometry of trilinear forms. Zbl 0752.11020
Aschbacher, Michael
1990
The existence of $$J_ 3$$ and its embeddings in $$E_ 6$$. Zbl 0703.20013
Aschbacher, Michael
1990
On Abelian quotients of primitive groups. Zbl 0679.20001
Aschbacher, Michael; Guralnick, Robert M.
1989
Some multilinear forms with large isometry groups. Zbl 0646.20033
Aschbacher, Michael
1988
The 27-dimensional module for $$E_ 6$$. II. Zbl 0662.20030
Aschbacher, Michael
1988
Chevalley groups of type $$G_ 2$$ as the group of a trilinear form. Zbl 0618.20030
Aschbacher, Michael
1987
The 27-dimensional module for $$E_ 6$$. I. Zbl 0629.20018
Aschbacher, Michael
1987
Embeddings of ultrametric spaces in finite dimensional structures. Zbl 0639.51018
Aschbacher, Michael; Baldi, Pierre; Baum, Eric B.; Wilson, Richard M.
1987
Chromatic geometry. Zbl 0641.05018
Aschbacher, Michael
1987
Finite group theory. Zbl 0583.20001
Aschbacher, Michael
1986
Overgroups of Sylow subgroups in sporadic groups. Zbl 0585.20005
Aschbacher, Michael
1986
Finite simple groups and their subgroups. Zbl 0585.20004
Aschbacher, Michael
1986
Maximal subgroups of finite groups. Zbl 0549.20011
Aschbacher, M.; Scott, L.
1985
Permutation groups using the classification of the finite simple groups. Zbl 0595.20006
Aschbacher, Michael
1985
On the maximal subgroups of the finite classical groups. Zbl 0537.20023
Aschbacher, M.
1984
Some applications of the first cohomology group. Zbl 0554.20017
Aschbacher, M.; Guralnick, R.
1984
Finite geometries of type $$C_ 3$$ with flag-transitive groups. Zbl 0548.51005
Aschbacher, Michael
1984
Subgroup structure of finite groups. Zbl 0678.20004
Aschbacher, M.
1984
Proceedings of the Rutgers Group Theory Year, 1983-1984 (held at Rutgers University, New Brunswick, N.J.). Zbl 0633.00009
Aschbacher, Michael (ed.); Gorenstein, Daniel (ed.); Lyons, Richard (ed.); O’Nan, Michael (ed.); Sims, Charles (ed.); Feit, Walter (ed.)
1984
Flag structures on Tits geometries. Zbl 0523.51008
Aschbacher, Michael
1983
Tits geometries over $$\mathrm{GF}(2)$$ defined by groups over $$\mathrm{GF}(3)$$. Zbl 0518.51007
Aschbacher, Michael; Smith, Stephen D.
1983
The uniqueness case for finite groups. I, II. Zbl 0518.20009
Aschbacher, Michael
1983
Finite groups of rank 3. II. Zbl 0502.20004
Aschbacher, Michael
1983
GF(2)-representations of finite groups. Zbl 0497.20007
Aschbacher, Michael
1982
Solvable generation of groups and Sylow subgroups of the lower central series. Zbl 0485.20012
Aschbacher, M.; Guralnick, R.
1982
The Tits group as a standard subgroup. Zbl 0498.20014
Aschbacher, Michael
1982
A characterization of some finite groups of characteristic 3. Zbl 0488.20016
Aschbacher, Michael
1982
A factorization theorem for 2-constrained groups. Zbl 0486.20012
Aschbacher, Michael
1981
The embedding of 2-locals in finite groups of characteristic 2-type. I, II. Zbl 0476.20014
Aschbacher, Michael; Gorenstein, Daniel; Lyons, Richard
1981
On the failure of the Thompson factorization in 2-constrained groups. Zbl 0486.20011
Aschbacher, Michael
1981
Some results on pushing up in finite groups. Zbl 0453.20009
Aschbacher, Michael
1981
Weak closure in finite groups of even characteristic. Zbl 0472.20006
Aschbacher, Michael
1981
Finite groups of rank 3.I. Zbl 0459.20005
Aschbacher, Michael
1981
On groups with a standard component of known type. II. Zbl 0469.20011
Aschbacher, Michael; Seitz, Gary M.
1981
The finite simple groups and their classification. Zbl 0456.20004
Aschbacher, M.
1981
The classification of the finite simple groups. Zbl 0464.20013
Aschbacher, Michael
1981
On finite groups of Lie type and odd characteristic. Zbl 0445.20008
Aschbacher, Michael
1980
Correction to ”A characterization of Chevalley groups over fields of odd order”. Zbl 0429.20020
Aschbacher, Michael
1980
The finite simple groups and their classification. (James K. Whittemore lectures in mathematics given at Yale University). Zbl 0435.20007
Aschbacher, Michael
1980
The uniqueness case for groups of characteristic 2 type. Zbl 0458.20015
Aschbacher, Michael
1980
Groups of characteristic 2-type. Zbl 0449.20032
Aschbacher, Michael
1980
Thin finite simple groups. Zbl 0418.20008
Aschbacher, Michael
1978
A pushing up theorem for characteristic 2 type groups. Zbl 0381.20012
Aschbacher, Michael
1978
...and 30 more Documents
all top 5

#### Cited by 1,152 Authors

 61 Aschbacher, Michael George 58 Guralnick, Robert Michael 36 Liebeck, Martin Walter 36 Praeger, Cheryl Elisabeth 31 Lucchini, Andrea 31 Stroth, Gernot 30 Kondrat’ev, Anatoliĭ Semenovich 28 Tiep Pham Huu 25 Burness, Timothy C. 22 Vavilov, Nikolaĭ Aleksandrovich 21 Segev, Yoav 20 Shalev, Aner 19 Saxl, Jan 18 Li, Caiheng 18 Oliver, Bob 17 Solomon, Ronald Mark 16 Timmesfeld, Franz Georg 15 O’Brien, Eamonn A. 15 Revin, Danila Olegovitch 15 Rowley, Peter J. 15 Smith, Stephen D. 13 Giudici, Michael 13 Hall, Jonathan I. 13 Makhnëv, Aleksandr Alekseevich 13 Parker, Chris W. 12 Magaard, Kay 12 Meierfrankenfeld, Ulrich 11 De Bruyn, Bart 11 Dempwolff, Ulrich 11 Flavell, Paul 11 Holt, Derek F. 11 Kantor, William M. 11 Maslova, Natal’ya Vladimirovna 11 Roney-Dougal, Colva M. 11 Seitz, Gary M. 10 Cossidente, Antonio 10 Ivanov, Alexander A. 10 Leedham-Green, Charles R. 10 Malle, Gunter 10 Pasini, Antonio 10 Spiga, Pablo 9 Henke, Ellen 9 Keller, Thomas Michael 9 King, Oliver H. 9 Li, Xianhua 9 Maróti, Attila 9 Parker, Christopher W. 9 Salarian, Mohammad Reza 9 Sambale, Benjamin 9 Seress, Ákos 9 Stellmacher, Bernd 9 Zalesski, Alexandre Efimovich 8 An, Jianbei 8 Arad, Zvi 8 Borovik, Alexandre Vasilievich 8 Eaton, Charles William 8 Foote, Richard M. 8 Guest, Simon D. 8 Harris, Morton E. 8 Luzgarev, A. Yu. 8 Morigi, Marta 8 Pyber, László 8 Shareshian, John 8 Trofimov, Vladimir Ivanovich 8 Vdovin, Evgeniĭ Petrovich 8 Wales, David B. 8 Zhang, Jiping 7 Detomi, Eloisa 7 Dietrich, Heiko 7 Finkelstein, Larry A. 7 Glasby, Stephen Peter 7 Kleshchev, Alexander S. 7 Külshammer, Burkhard 7 Lu, Zaiping 7 Lynd, Justin 7 Tran Van Trung 7 Weiss, Richard Mark 7 Zenkov, Viktor Ivanovich 6 Abhyankar, Shreeram Shankar 6 Baumeister, Barbara 6 Chermak, Andrew L. 6 Chillag, David 6 Cooperstein, Bruce N. 6 Cuypers, Hans 6 Glauberman, George 6 Gorenstein, Daniel 6 Griess, Robert L. jun. 6 Harper, Scott 6 Kinyon, Michael K. 6 Liao, Jun 6 Menegazzo, Federico 6 Montinaro, Alessandro 6 Nagy, Gábor Péter 6 Pellegrini, Marco Antonio 6 Quick, Martyn 6 Semeraro, Jason 6 Shpectorov, Sergey Viktorovich 6 Vojtěchovský, Petr 6 Wang, Jie 6 Yang, Yong ...and 1,052 more Authors
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#### Cited in 181 Serials

 496 Journal of Algebra 105 Communications in Algebra 51 Journal of Combinatorial Theory. Series A 47 Transactions of the American Mathematical Society 44 Archiv der Mathematik 41 Israel Journal of Mathematics 41 Journal of Pure and Applied Algebra 31 Siberian Mathematical Journal 31 European Journal of Combinatorics 29 Proceedings of the American Mathematical Society 28 Journal of Group Theory 28 Proceedings of the Steklov Institute of Mathematics 27 Discrete Mathematics 26 Advances in Mathematics 26 Mathematische Zeitschrift 24 Algebra and Logic 18 Inventiones Mathematicae 18 Designs, Codes and Cryptography 18 Journal of Algebraic Combinatorics 17 Journal of Algebra and its Applications 15 St. Petersburg Mathematical Journal 14 Mathematical Notes 14 Bulletin of the American Mathematical Society. New Series 14 Journal of Mathematical Sciences (New York) 13 Mathematical Proceedings of the Cambridge Philosophical Society 13 Geometriae Dedicata 13 Journal of the Australian Mathematical Society 12 Memoirs of the American Mathematical Society 12 Rendiconti del Seminario Matematico della Università di Padova 11 International Journal of Algebra and Computation 10 Results in Mathematics 9 Duke Mathematical Journal 9 Linear Algebra and its Applications 9 Finite Fields and their Applications 8 Monatshefte für Mathematik 8 Journal of Symbolic Computation 7 Beiträge zur Algebra und Geometrie 7 Annali di Matematica Pura ed Applicata. Serie Quarta 7 Journal of Combinatorial Theory. Series B 7 Sibirskie Èlektronnye Matematicheskie Izvestiya 6 Bulletin of the Australian Mathematical Society 6 Manuscripta Mathematica 6 Graphs and Combinatorics 6 Journal of the American Mathematical Society 6 Algebras and Representation Theory 6 Annals of Mathematics. Second Series 6 Journal of the European Mathematical Society (JEMS) 6 Forum of Mathematics, Sigma 5 Journal of Number Theory 5 Mathematische Annalen 5 Journal of Combinatorial Designs 5 LMS Journal of Computation and Mathematics 5 Advances in Geometry 5 Groups, Geometry, and Dynamics 5 Science China. Mathematics 4 Journal of Mathematical Physics 4 Proceedings of the Edinburgh Mathematical Society. Series II 4 Forum Mathematicum 4 Algebra Colloquium 3 Communications in Mathematical Physics 3 Discrete Applied Mathematics 3 Linear and Multilinear Algebra 3 Mathematics of Computation 3 Acta Mathematica 3 Annales de l’Institut Fourier 3 Bulletin of the London Mathematical Society 3 Compositio Mathematica 3 Glasgow Mathematical Journal 3 The Journal of Symbolic Logic 3 Proceedings of the London Mathematical Society. Third Series 3 Science in China. Series A 3 Expositiones Mathematicae 3 Experimental Mathematics 3 Transformation Groups 3 Doklady Mathematics 3 Representation Theory 3 Geometry & Topology 3 Journal of Applied Mathematics and Computing 2 Rocky Mountain Journal of Mathematics 2 Ukrainian Mathematical Journal 2 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 2 Algebra Universalis 2 Journal of Geometry 2 Journal of the London Mathematical Society. Second Series 2 Journal of Soviet Mathematics 2 Journal of Statistical Planning and Inference 2 Michigan Mathematical Journal 2 Proceedings of the Japan Academy. Series A 2 Quaestiones Mathematicae 2 Semigroup Forum 2 Topology and its Applications 2 Acta Applicandae Mathematicae 2 Discrete & Computational Geometry 2 Aequationes Mathematicae 2 European Journal of Operational Research 2 Vietnam Journal of Mathematics 2 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Acta Mathematica Sinica. English Series 2 Communications in Contemporary Mathematics 2 Algebraic & Geometric Topology ...and 81 more Serials
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#### Cited in 43 Fields

 1,410 Group theory and generalizations (20-XX) 260 Combinatorics (05-XX) 173 Geometry (51-XX) 93 Algebraic topology (55-XX) 71 Number theory (11-XX) 54 Algebraic geometry (14-XX) 45 Associative rings and algebras (16-XX) 43 Computer science (68-XX) 42 Nonassociative rings and algebras (17-XX) 29 Field theory and polynomials (12-XX) 28 Manifolds and cell complexes (57-XX) 26 Order, lattices, ordered algebraic structures (06-XX) 24 Linear and multilinear algebra; matrix theory (15-XX) 19 $$K$$-theory (19-XX) 17 Functional analysis (46-XX) 16 Quantum theory (81-XX) 16 Information and communication theory, circuits (94-XX) 15 Mathematical logic and foundations (03-XX) 15 Topological groups, Lie groups (22-XX) 10 General and overarching topics; collections (00-XX) 10 Category theory; homological algebra (18-XX) 10 Functions of a complex variable (30-XX) 9 Commutative algebra (13-XX) 9 Convex and discrete geometry (52-XX) 7 Operator theory (47-XX) 6 General algebraic systems (08-XX) 5 History and biography (01-XX) 5 Probability theory and stochastic processes (60-XX) 4 Several complex variables and analytic spaces (32-XX) 4 General topology (54-XX) 3 Statistics (62-XX) 3 Operations research, mathematical programming (90-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Relativity and gravitational theory (83-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Abstract harmonic analysis (43-XX) 1 Differential geometry (53-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

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