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Aschbacher, Michael George

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Author ID: aschbacher.michael-george Recent zbMATH articles by "Aschbacher, Michael George"
Published as: Aschbacher, Michael; Aschbacher, M.; Aschbacher, Michael G.
External Links: MGP · Wikidata · Math-Net.Ru · dblp · GND · IdRef
Awards: Wolf Prize (2012)
all top 5

Serials

34 Journal of Algebra
8 Illinois Journal of Mathematics
7 Annals of Mathematics. Second Series
6 Inventiones Mathematicae
6 Proceedings of the London Mathematical Society. Third Series
4 Geometriae Dedicata
4 Mathematische Zeitschrift
4 Memoirs of the American Mathematical Society
4 Proceedings of the American Mathematical Society
3 Communications in Algebra
3 Transactions of the American Mathematical Society
3 Journal of Group Theory
3 Cambridge Studies in Advanced Mathematics
3 Mathematical Surveys and Monographs
2 Israel Journal of Mathematics
2 Journal of the London Mathematical Society. Second Series
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 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 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 Contemporary Mathematics
1 London Mathematical Society Lecture Note Series
1 Groups, Geometry, and Dynamics

Publications by Year

Citations contained in zbMATH Open

136 Publications have been cited 2,794 times in 1,821 Documents Cited by Year
On the maximal subgroups of the finite classical groups. Zbl 0537.20023
Aschbacher, M.
308
1984
Finite group theory. Zbl 0583.20001
Aschbacher, Michael
291
1986
Involutions in Chevalley groups over fields of even order. Zbl 0359.20014
Aschbacher, Michael; Seitz, Gary M.
199
1976
Fusion systems in algebra and topology. Zbl 1255.20001
Aschbacher, Michael; Kessar, Radha; Oliver, Bob
129
2011
Some applications of the first cohomology group. Zbl 0554.20017
Aschbacher, M.; Guralnick, R.
113
1984
Maximal subgroups of finite groups. Zbl 0549.20011
Aschbacher, M.; Scott, L.
83
1985
The classification of the finite simple groups. Zbl 0965.20009
Aschbacher, M.
75
2000
A characterization of Chevalley groups over fields of odd order. I, II. Zbl 0393.20011
Aschbacher, Michael
75
1977
Finite group theory. 2nd ed. Zbl 0997.20001
Aschbacher, Michael
71
2000
On groups with a standard component of known type. Zbl 0374.20015
Aschbacher, Michael; Seitz, Gray M.
56
1976
Chevalley groups of type \(G_ 2\) as the group of a trilinear form. Zbl 0618.20030
Aschbacher, Michael
55
1987
On finite groups of component type. Zbl 0299.20013
Aschbacher, Michael
53
1975
Sporadic groups. Zbl 0804.20011
Aschbacher, Michael
42
1994
The 27-dimensional module for \(E_ 6\). I. Zbl 0629.20018
Aschbacher, Michael
38
1987
Flag structures on Tits geometries. Zbl 0523.51008
Aschbacher, Michael
37
1983
\(3\)-transposition groups. Zbl 0883.20010
Aschbacher, Michael
37
1997
The generalized Fitting subsystem of a fusion system. Zbl 1278.20020
Aschbacher, Michael
35
2011
Finite group theory. Corrected reprint of the 1986 orig. Zbl 0826.20001
Aschbacher, Michael
34
1993
On collineation groups of symmetric block designs. Zbl 0223.05006
Aschbacher, Michael
31
1971
Overgroups of Sylow subgroups in sporadic groups. Zbl 0585.20005
Aschbacher, Michael
31
1986
Some multilinear forms with large isometry groups. Zbl 0646.20033
Aschbacher, Michael
30
1988
Normal subsystems of fusion systems. Zbl 1241.20026
Aschbacher, Michael
29
2008
On Abelian quotients of primitive groups. Zbl 0679.20001
Aschbacher, Michael; Guralnick, Robert M.
26
1989
The nonexistence of rank three permutation groups of degree 3250 and subdegree 57. Zbl 0225.20002
Aschbacher, Michael
25
1971
The classification of quasithin groups. I: Structure of strongly quasithin \(\mathcal K\)-groups. Zbl 1065.20023
Aschbacher, Michael; Smith, Stephen D.
25
2004
On finite groups of Lie type and odd characteristic. Zbl 0445.20008
Aschbacher, Michael
24
1980
Groups generated by a class of elements of order 3. Zbl 0253.20018
Aschbacher, Michael; Hall, Marshall jun.
23
1973
On finite groups generated by odd transpositions. I. Zbl 0225.20020
Aschbacher, Michael
22
1972
Finite groups with a proper 2-generated core. Zbl 0302.20025
Aschbacher, Michael
22
1974
GF(2)-representations of finite groups. Zbl 0497.20007
Aschbacher, Michael
20
1982
Near subgroups of finite groups. Zbl 0902.20010
Aschbacher, Michael
20
1998
On finite groups in which the generalized Fitting group of the centralizer of some involution is extraspecial. Zbl 0358.20024
Aschbacher, Michael
20
1977
Solvable generation of groups and Sylow subgroups of the lower central series. Zbl 0485.20012
Aschbacher, M.; Guralnick, R.
19
1982
Tightly embedded subgroups of finite groups. Zbl 0372.20012
Aschbacher, Michael
19
1976
The 27-dimensional module for \(E_ 6\). IV. Zbl 0698.20031
Aschbacher, Michael
19
1990
On finite groups generated by odd transpositions. IV. Zbl 0277.20036
Aschbacher, Michael
19
1973
Simple connectivity of \(p\)-group complexes. Zbl 0829.20031
Aschbacher, Michael
18
1993
On Bol loops of exponent 2. Zbl 1090.20037
Aschbacher, Michael
18
2005
A factorization theorem for 2-constrained groups. Zbl 0486.20012
Aschbacher, Michael
17
1981
Tits geometries over \(\mathrm{GF}(2)\) defined by groups over \(\mathrm{GF}(3)\). Zbl 0518.51007
Aschbacher, Michael; Smith, Stephen D.
17
1983
The status of the classification of the finite simple groups. Zbl 1113.20302
Aschbacher, Michael
17
2004
On Quillen’s conjecture for the \(p\)-groups complex. Zbl 0782.20039
Aschbacher, Michael; Smith, Stephen D.
17
1993
Standard components of alternating type centralized by a 4-group. Zbl 1144.20007
Aschbacher, Michael
16
2008
Generation of fusion systems of characteristic 2-type. Zbl 1234.20025
Aschbacher, Michael
16
2010
Fusion systems. Zbl 1397.20028
Aschbacher, Michael; Oliver, Bob
15
2016
Finite geometries of type \(C_ 3\) with flag-transitive groups. Zbl 0548.51005
Aschbacher, Michael
14
1984
On intervals in subgroup lattices of finite groups. Zbl 1215.20022
Aschbacher, Michael
14
2008
Finite groups in which the generalized Fitting group of the centralizer of some involution is symplectic but not extraspecial. Zbl 0345.20024
Aschbacher, Michael
14
1976
The limitations of nice mutually unbiased bases. Zbl 1109.81016
Aschbacher, Michael; Childs, Andrew M.; Wocjan, Paweł
13
2007
The 27-dimensional module for \(E_ 6\). III. Zbl 0698.20030
Aschbacher, Michael
13
1990
Doubly transitive groups in which the stabilizer of two points in abelian. Zbl 0217.35202
Aschbacher, M.
13
1971
The 27-dimensional module for \(E_ 6\). II. Zbl 0662.20030
Aschbacher, Michael
13
1988
Extending morphisms of groups and graphs. Zbl 0778.20009
Aschbacher, Michael; Segev, Yoav
12
1992
Thin finite simple groups. Zbl 0418.20008
Aschbacher, Michael
12
1978
On a conjecture of Quillen and a lemma of Robinson. Zbl 0723.20012
Aschbacher, Michael; Kleidman, Peter B.
11
1990
On finite groups generated by odd transpositions. II. Zbl 0277.20034
Aschbacher, Michael
11
1973
\({\mathfrak F}\)-sets and permutation groups. Zbl 0295.20005
Aschbacher, Michael
11
1974
The uniqueness case for finite groups. I, II. Zbl 0518.20009
Aschbacher, Michael
10
1983
A pushing up theorem for characteristic 2 type groups. Zbl 0381.20012
Aschbacher, Michael
10
1978
\(S_3\)-free 2-fusion systems. Zbl 1278.20021
Aschbacher, Michael
10
2013
A condition for the existence of a strongly embedded subgroup. Zbl 0259.20008
Aschbacher, Michael
10
1973
A homomorphism theorem for finite graphs. Zbl 0319.05115
Aschbacher, Michael
10
1976
Overgroups of primitive groups. II. Zbl 1190.20013
Aschbacher, Michael
9
2009
A characterization of the unitary and symplectic groups over finite fields of characteristic at least 5. Zbl 0299.20009
Aschbacher, Michael
9
1973
On conjectures of Guralnick and Thompson. Zbl 0724.20002
Aschbacher, Michael
9
1990
Overgroups of primitive groups. Zbl 1190.20012
Aschbacher, Michael
8
2009
A characterization of certain Chevalley groups and its application to component type groups. Zbl 0356.20009
Aschbacher, Michael
8
1976
A group-theoretic approach to a family of 2-local finite groups constructed by Levi and Oliver. Zbl 1213.20017
Aschbacher, Michael; Chermak, Andrew
8
2010
The geometry of trilinear forms. Zbl 0752.11020
Aschbacher, Michael
7
1990
The embedding of 2-locals in finite groups of characteristic 2-type. I, II. Zbl 0476.20014
Aschbacher, Michael; Gorenstein, Daniel; Lyons, Richard
7
1981
On the failure of the Thompson factorization in 2-constrained groups. Zbl 0486.20011
Aschbacher, Michael
7
1981
Some results on pushing up in finite groups. Zbl 0453.20009
Aschbacher, Michael
7
1981
On doubly transitive permutation groups of degree n \(\equiv\) 2 mod 4. Zbl 0251.20003
Aschbacher, Michael
7
1972
Locally connected simplicial maps. Zbl 0793.57011
Aschbacher, M.; Segev, Y.
7
1992
The classification of finite simple groups. Groups of characteristic 2 type. Zbl 1218.20007
Aschbacher, Michael; Lyons, Richard; Smith, Stephen D.; Solomon, Ronald
7
2011
On fusion systems of component type. Zbl 1481.20001
Aschbacher, Michael
7
2019
Embeddings of ultrametric spaces in finite dimensional structures. Zbl 0639.51018
Aschbacher, Michael; Baldi, Pierre; Baum, Eric B.; Wilson, Richard M.
6
1987
Finite Bruck loops. Zbl 1102.20046
Aschbacher, Michael; Kinyon, Michael K.; Phillips, J. D.
6
2006
Signalizer lattices in finite groups. Zbl 1177.20034
Aschbacher, Michael
6
2009
Thin finite simple groups. Zbl 0326.20011
Aschbacher, Michael
6
1976
Restrictions on the structure of subgroup lattices of finite alternating and symmetric groups. Zbl 1185.20020
Aschbacher, Michael; Shareshian, John
6
2009
The uniqueness of groups of Lyons type. Zbl 0758.20002
Aschbacher, Michael; Segev, Yoav
5
1992
Finite groups of rank 3. II. Zbl 0502.20004
Aschbacher, Michael
5
1983
A 2-local characterization of \(M_{12}\). Zbl 1032.20012
Aschbacher, Michael
5
2003
2-components in finite groups. Zbl 0326.20024
Aschbacher, Michael
5
1975
Fusion systems of \(\mathbf F_2\)-type. Zbl 1297.20017
Aschbacher, Michael
5
2013
Overgroup lattices in finite groups of Lie type containing a parabolic. Zbl 1293.20016
Aschbacher, Michael
5
2013
On groups with a standard component of known type. II. Zbl 0469.20011
Aschbacher, Michael; Seitz, Gary M.
5
1981
On a question of Farjoun. Zbl 1142.20304
Aschbacher, Michael
5
2004
Quaternion fusion packets. Zbl 07376110
Aschbacher, Michael
5
2021
The Tits group as a standard subgroup. Zbl 0498.20014
Aschbacher, Michael
4
1982
Subgroup structure of finite groups. Zbl 0678.20004
Aschbacher, M.
4
1984
A class of generalized TI-groups. Zbl 0243.20012
Aschbacher, Michael
4
1972
A characterization of certain Frobenius groups. Zbl 0292.20022
Aschbacher, Michael
4
1974
Weak closure in finite groups of even characteristic. Zbl 0472.20006
Aschbacher, Michael
4
1981
Walter’s theorem for fusion systems. Zbl 1506.20008
Aschbacher, Michael
3
2021
Representations of groups on finite simplicial complexes. Zbl 0852.20005
Aschbacher, Michael
3
1995
A fixed point theorem for groups acting on finite \(2\)-dimensional acyclic simplicial complexes. Zbl 0834.57022
Aschbacher, Michael; Segev, Yoav
3
1993
The uniqueness of groups of type \(J_ 4\). Zbl 0735.20006
Aschbacher, Michael; Segev, Yoav
3
1991
A characterization of some finite groups of characteristic 3. Zbl 0488.20016
Aschbacher, Michael
3
1982
Fusion systems with \(U_3(3)\) J-components. Zbl 07552658
Aschbacher, Michael
1
2022
Quaternion fusion packets. Zbl 07376110
Aschbacher, Michael
5
2021
Walter’s theorem for fusion systems. Zbl 1506.20008
Aschbacher, Michael
3
2021
Fusion systems with alternating J-components. Zbl 1506.20007
Aschbacher, Michael
2
2020
The 2-fusion system of an almost simple group. Zbl 1485.20056
Aschbacher, Michael
1
2020
On fusion systems of component type. Zbl 1481.20001
Aschbacher, Michael
7
2019
The subgroup structure of finite groups. Zbl 1448.20003
Aschbacher, Michael
1
2017
Fusion systems. Zbl 1397.20028
Aschbacher, Michael; Oliver, Bob
15
2016
N-groups and fusion systems. Zbl 1350.20012
Aschbacher, Michael
2
2016
Finite groups of Seitz type. Zbl 1286.20012
Aschbacher, Michael
2
2014
\(S_3\)-free 2-fusion systems. Zbl 1278.20021
Aschbacher, Michael
10
2013
Fusion systems of \(\mathbf F_2\)-type. Zbl 1297.20017
Aschbacher, Michael
5
2013
Overgroup lattices in finite groups of Lie type containing a parabolic. Zbl 1293.20016
Aschbacher, Michael
5
2013
Lower signalizer lattices in alternating and symmetric groups. Zbl 1255.20017
Aschbacher, Michael
2
2012
Fusion systems in algebra and topology. Zbl 1255.20001
Aschbacher, Michael; Kessar, Radha; Oliver, Bob
129
2011
The generalized Fitting subsystem of a fusion system. Zbl 1278.20020
Aschbacher, Michael
35
2011
The classification of finite simple groups. Groups of characteristic 2 type. Zbl 1218.20007
Aschbacher, Michael; Lyons, Richard; Smith, Stephen D.; Solomon, Ronald
7
2011
Generation of fusion systems of characteristic 2-type. Zbl 1234.20025
Aschbacher, Michael
16
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
8
2010
Overgroups of primitive groups. II. Zbl 1190.20013
Aschbacher, Michael
9
2009
Overgroups of primitive groups. Zbl 1190.20012
Aschbacher, Michael
8
2009
Signalizer lattices in finite groups. Zbl 1177.20034
Aschbacher, Michael
6
2009
Restrictions on the structure of subgroup lattices of finite alternating and symmetric groups. Zbl 1185.20020
Aschbacher, Michael; Shareshian, John
6
2009
Normal subsystems of fusion systems. Zbl 1241.20026
Aschbacher, Michael
29
2008
Standard components of alternating type centralized by a 4-group. Zbl 1144.20007
Aschbacher, Michael
16
2008
On intervals in subgroup lattices of finite groups. Zbl 1215.20022
Aschbacher, Michael
14
2008
Isotopy and geotopy for ternary rings of projective planes. Zbl 1143.51001
Aschbacher, Michael
1
2008
The limitations of nice mutually unbiased bases. Zbl 1109.81016
Aschbacher, Michael; Childs, Andrew M.; Wocjan, Paweł
13
2007
Elementary Abelian 2-subgroups of Sidki-type in finite groups. Zbl 1135.20008
Aschbacher, Michael; Guralnick, Robert; Segev, Yoav
1
2007
Finite Bruck loops. Zbl 1102.20046
Aschbacher, Michael; Kinyon, Michael K.; Phillips, J. D.
6
2006
Projective planes, loops, and groups. Zbl 1103.20063
Aschbacher, Michael
1
2006
On Bol loops of exponent 2. Zbl 1090.20037
Aschbacher, Michael
18
2005
Highly complex proofs and implications of such proofs. Zbl 1152.00308
Aschbacher, Michael
3
2005
The classification of quasithin groups. I: Structure of strongly quasithin \(\mathcal K\)-groups. Zbl 1065.20023
Aschbacher, Michael; Smith, Stephen D.
25
2004
The status of the classification of the finite simple groups. Zbl 1113.20302
Aschbacher, Michael
17
2004
On a question of Farjoun. Zbl 1142.20304
Aschbacher, Michael
5
2004
The classification of quasithin groups. II: Main theorems: the classification of simple QTKE-groups. Zbl 1065.20024
Aschbacher, Michael; Smith, Stephen D.
3
2004
A 2-local characterization of \(M_{12}\). Zbl 1032.20012
Aschbacher, Michael
5
2003
A 2-local characterization of the Higman-Sims group. Zbl 1025.20004
Aschbacher, Michael
2
2003
Finite groups of \(G_2(3)\)-type. Zbl 1014.20006
Aschbacher, Michael
2
2002
Counting involutions. Zbl 1006.20013
Aschbacher, Michael; Meierfrankenfeld, Ulrich; Stellmacher, Bernd
2
2001
The classification of the finite simple groups. Zbl 0965.20009
Aschbacher, M.
75
2000
Finite group theory. 2nd ed. Zbl 0997.20001
Aschbacher, Michael
71
2000
On primitive linear representations of finite groups. Zbl 0991.20008
Aschbacher, Michael
2
2000
Near subgroups of finite groups. Zbl 0902.20010
Aschbacher, Michael
20
1998
Finite groups acting on homology manifolds. Special issue of the
Pacific Journal of Mathematics.
 Zbl 0912.57021
Aschbacher, Michael
1
1998
\(3\)-transposition groups. Zbl 0883.20010
Aschbacher, Michael
37
1997
Combinatorial cell complexes. Zbl 0884.05097
Aschbacher, Michael
1
1996
Representations of groups on finite simplicial complexes. Zbl 0852.20005
Aschbacher, Michael
3
1995
Sporadic groups. Zbl 0804.20011
Aschbacher, Michael
42
1994
Finite group theory. Corrected reprint of the 1986 orig. Zbl 0826.20001
Aschbacher, Michael
34
1993
Simple connectivity of \(p\)-group complexes. Zbl 0829.20031
Aschbacher, Michael
18
1993
On Quillen’s conjecture for the \(p\)-groups complex. Zbl 0782.20039
Aschbacher, Michael; Smith, Stephen D.
17
1993
A fixed point theorem for groups acting on finite \(2\)-dimensional acyclic simplicial complexes. Zbl 0834.57022
Aschbacher, Michael; Segev, Yoav
3
1993
Extending morphisms of groups and graphs. Zbl 0778.20009
Aschbacher, Michael; Segev, Yoav
12
1992
Locally connected simplicial maps. Zbl 0793.57011
Aschbacher, M.; Segev, Y.
7
1992
The uniqueness of groups of Lyons type. Zbl 0758.20002
Aschbacher, Michael; Segev, Yoav
5
1992
Uniqueness of sporadic groups. Zbl 0806.20015
Aschbacher, Michael; Segev, Yoav
2
1992
The uniqueness of groups of type \(J_ 4\). Zbl 0735.20006
Aschbacher, Michael; Segev, Yoav
3
1991
Exponents of almost simple groups and an application to the restricted Burnside problem. Zbl 0770.20017
Aschbacher, Michael; Kleidman, Peter B.; Liebeck, Martin W.
1
1991
The 27-dimensional module for \(E_ 6\). IV. Zbl 0698.20031
Aschbacher, Michael
19
1990
The 27-dimensional module for \(E_ 6\). III. Zbl 0698.20030
Aschbacher, Michael
13
1990
On a conjecture of Quillen and a lemma of Robinson. Zbl 0723.20012
Aschbacher, Michael; Kleidman, Peter B.
11
1990
On conjectures of Guralnick and Thompson. Zbl 0724.20002
Aschbacher, Michael
9
1990
The geometry of trilinear forms. Zbl 0752.11020
Aschbacher, Michael
7
1990
The existence of \(J_ 3\) and its embeddings in \(E_ 6\). Zbl 0703.20013
Aschbacher, Michael
2
1990
On Abelian quotients of primitive groups. Zbl 0679.20001
Aschbacher, Michael; Guralnick, Robert M.
26
1989
Some multilinear forms with large isometry groups. Zbl 0646.20033
Aschbacher, Michael
30
1988
The 27-dimensional module for \(E_ 6\). II. Zbl 0662.20030
Aschbacher, Michael
13
1988
Chevalley groups of type \(G_ 2\) as the group of a trilinear form. Zbl 0618.20030
Aschbacher, Michael
55
1987
The 27-dimensional module for \(E_ 6\). I. Zbl 0629.20018
Aschbacher, Michael
38
1987
Embeddings of ultrametric spaces in finite dimensional structures. Zbl 0639.51018
Aschbacher, Michael; Baldi, Pierre; Baum, Eric B.; Wilson, Richard M.
6
1987
Chromatic geometry. Zbl 0641.05018
Aschbacher, Michael
3
1987
Finite group theory. Zbl 0583.20001
Aschbacher, Michael
291
1986
Overgroups of Sylow subgroups in sporadic groups. Zbl 0585.20005
Aschbacher, Michael
31
1986
Finite simple groups and their subgroups. Zbl 0585.20004
Aschbacher, Michael
2
1986
Maximal subgroups of finite groups. Zbl 0549.20011
Aschbacher, M.; Scott, L.
83
1985
Permutation groups using the classification of the finite simple groups. Zbl 0595.20006
Aschbacher, Michael
1
1985
On the maximal subgroups of the finite classical groups. Zbl 0537.20023
Aschbacher, M.
308
1984
Some applications of the first cohomology group. Zbl 0554.20017
Aschbacher, M.; Guralnick, R.
113
1984
Finite geometries of type \(C_ 3\) with flag-transitive groups. Zbl 0548.51005
Aschbacher, Michael
14
1984
Subgroup structure of finite groups. Zbl 0678.20004
Aschbacher, M.
4
1984
Proceedings of the Rutgers Group Theory Year, 1983-1984 (held at Rutgers University, New Brunswick, N.J.). Zbl 0633.00009
2
1984
Flag structures on Tits geometries. Zbl 0523.51008
Aschbacher, Michael
37
1983
Tits geometries over \(\mathrm{GF}(2)\) defined by groups over \(\mathrm{GF}(3)\). Zbl 0518.51007
Aschbacher, Michael; Smith, Stephen D.
17
1983
The uniqueness case for finite groups. I, II. Zbl 0518.20009
Aschbacher, Michael
10
1983
Finite groups of rank 3. II. Zbl 0502.20004
Aschbacher, Michael
5
1983
GF(2)-representations of finite groups. Zbl 0497.20007
Aschbacher, Michael
20
1982
Solvable generation of groups and Sylow subgroups of the lower central series. Zbl 0485.20012
Aschbacher, M.; Guralnick, R.
19
1982
The Tits group as a standard subgroup. Zbl 0498.20014
Aschbacher, Michael
4
1982
A characterization of some finite groups of characteristic 3. Zbl 0488.20016
Aschbacher, Michael
3
1982
A factorization theorem for 2-constrained groups. Zbl 0486.20012
Aschbacher, Michael
17
1981
The embedding of 2-locals in finite groups of characteristic 2-type. I, II. Zbl 0476.20014
Aschbacher, Michael; Gorenstein, Daniel; Lyons, Richard
7
1981
On the failure of the Thompson factorization in 2-constrained groups. Zbl 0486.20011
Aschbacher, Michael
7
1981
Some results on pushing up in finite groups. Zbl 0453.20009
Aschbacher, Michael
7
1981
On groups with a standard component of known type. II. Zbl 0469.20011
Aschbacher, Michael; Seitz, Gary M.
5
1981
Weak closure in finite groups of even characteristic. Zbl 0472.20006
Aschbacher, Michael
4
1981
The finite simple groups and their classification. Zbl 0456.20004
Aschbacher, M.
3
1981
Finite groups of rank 3.I. Zbl 0459.20005
Aschbacher, Michael
3
1981
The classification of the finite simple groups. Zbl 0464.20013
Aschbacher, Michael
1
1981
...and 36 more Documents
all top 5

Cited by 1,230 Authors

64 Aschbacher, Michael George
60 Guralnick, Robert Michael
37 Praeger, Cheryl Elisabeth
36 Liebeck, Martin Walter
33 Kondrat’ev, Anatoliĭ Semenovich
32 Lucchini, Andrea
31 Stroth, Gernot
29 Burness, Timothy C.
29 Tiep Pham Huu
24 Parker, Chris W.
22 Vavilov, Nikolaĭ Aleksandrovich
21 Oliver, Bob
21 Segev, Yoav
20 Rowley, Peter J.
20 Shalev, Aner
19 Li, Caiheng
19 Saxl, Jan
17 Solomon, Ronald Mark
16 Revin, Danila Olegovitch
16 Timmesfeld, Franz Georg
15 Henke, Ellen
15 O’Brien, Eamonn A.
15 Smith, Stephen D.
13 De Bruyn, Bart
13 Dempwolff, Ulrich
13 Giudici, Michael
13 Hall, Jonathan I.
13 Makhnëv, Aleksandr Alekseevich
12 Cossidente, Antonio
12 Holt, Derek F.
12 Kantor, William M.
12 Magaard, Kay
12 Meierfrankenfeld, Ulrich
11 Flavell, Paul
11 Maslova, Natal’ya Vladimirovna
11 Pasini, Antonio
11 Roney-Dougal, Colva M.
11 Seitz, Gary M.
10 Keller, Thomas Michael
10 Leedham-Green, Charles R.
10 Li, Xianhua
10 Sambale, Benjamin
10 Spiga, Pablo
9 Eaton, Charles William
9 Ivanov, Alexander A.
9 King, Oliver H.
9 Malle, Gunter
9 Maróti, Attila
9 Salarian, Mohammad Reza
9 Seress, Ákos
9 Vdovin, Evgeniĭ Petrovich
9 Yang, Yong
9 Zalesski, Alexandre Efimovich
9 Zenkov, Viktor Ivanovich
8 An, Jianbei
8 Arad, Zvi
8 Borovik, Alexandre V.
8 Chermak, Andrew L.
8 Glasby, Stephen Peter
8 Guest, Simon D.
8 Harris, Morton E.
8 Luzgarev, A. Yu.
8 Lynd, Justin
8 Montinaro, Alessandro
8 Morigi, Marta
8 Pyber, László
8 Shareshian, John
8 Stellmacher, Bernd
8 Trofimov, Vladimir Ivanovich
8 Wales, David B.
8 Zhang, Jiping
7 Alavi, Seyed Hassan
7 Al-Ali Bani-Ata, Mashhour
7 Baumeister, Barbara
7 Daneshkhah, Ashraf
7 Detomi, Eloisa
7 Dietrich, Heiko
7 Finkelstein, Larry A.
7 Kleshchev, Alexander S.
7 Külshammer, Burkhard
7 Lu, Zaiping
7 Nagy, Gábor Péter
7 Semeraro, Jason
7 Tran Van Trung
7 Tsiovkina, Ludmila Yur’evna
7 Wang, Jie
7 Weiss, Richard Mark
7 Xia, Binzhou
6 Abhyankar, Shreeram Shankar
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 Livesey, Michael James
6 Menegazzo, Federico
...and 1,130 more Authors
all top 5

Cited in 214 Serials

509 Journal of Algebra
110 Communications in Algebra
51 Journal of Combinatorial Theory. Series A
50 Transactions of the American Mathematical Society
47 Archiv der Mathematik
47 Journal of Pure and Applied Algebra
45 Israel Journal of Mathematics
34 Siberian Mathematical Journal
34 Journal of Group Theory
30 Advances in Mathematics
30 Proceedings of the American Mathematical Society
30 European Journal of Combinatorics
30 Proceedings of the Steklov Institute of Mathematics
29 Discrete Mathematics
26 Mathematische Zeitschrift
24 Algebra and Logic
24 Journal of Algebraic Combinatorics
19 Inventiones Mathematicae
19 Designs, Codes and Cryptography
19 Journal of Algebra and its Applications
17 St. Petersburg Mathematical Journal
15 Journal of Mathematical Sciences (New York)
14 Mathematical Notes
14 Memoirs of the American Mathematical Society
14 International Journal of Algebra and Computation
14 Bulletin of the American Mathematical Society. New Series
13 Mathematical Proceedings of the Cambridge Philosophical Society
13 Geometriae Dedicata
13 Journal of the Australian Mathematical Society
12 Rendiconti del Seminario Matematico della Università di Padova
12 Forum of Mathematics, Sigma
11 Results in Mathematics
10 Duke Mathematical Journal
10 Finite Fields and their Applications
9 Linear Algebra and its Applications
9 The Electronic Journal of Combinatorics
9 Sibirskie Èlektronnye Matematicheskie Izvestiya
8 Annali di Matematica Pura ed Applicata. Serie Quarta
8 Journal of Combinatorial Theory. Series B
8 Monatshefte für Mathematik
8 Graphs and Combinatorics
8 Journal of Symbolic Computation
7 Bulletin of the Australian Mathematical Society
7 Beiträge zur Algebra und Geometrie
7 Manuscripta Mathematica
7 Journal of the American Mathematical Society
7 Algebras and Representation Theory
6 Proceedings of the Edinburgh Mathematical Society. Series II
6 Annals of Mathematics. Second Series
6 Journal of the European Mathematical Society (JEMS)
6 Science China. Mathematics
5 Mathematische Annalen
5 Journal of Combinatorial Designs
5 LMS Journal of Computation and Mathematics
5 Advances in Geometry
5 Groups, Geometry, and Dynamics
4 Indian Journal of Pure & Applied Mathematics
4 Journal of Mathematical Physics
4 Mathematics of Computation
4 Forum Mathematicum
4 Algebra Colloquium
4 Representation Theory
3 Communications in Mathematical Physics
3 Discrete Applied Mathematics
3 Linear and Multilinear Algebra
3 Rocky Mountain Journal of Mathematics
3 Acta Mathematica
3 Annales de l’Institut Fourier
3 Bulletin of the London Mathematical Society
3 Compositio Mathematica
3 Glasgow Mathematical Journal
3 Journal of Number Theory
3 The Journal of Symbolic Logic
3 Proceedings of the London Mathematical Society. Third Series
3 Topology and its Applications
3 Science in China. Series A
3 Expositiones Mathematicae
3 Experimental Mathematics
3 Transformation Groups
3 Doklady Mathematics
3 Geometry & Topology
3 Acta Mathematica Sinica. English Series
3 Comptes Rendus. Mathématique. Académie des Sciences, Paris
3 Journal of Applied Mathematics and Computing
3 Quantum Information Processing
3 Innovations in Incidence Geometry
3 Frontiers of Mathematics in China
3 Algebra & Number Theory
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 Mathematica Slovaca
2 Michigan Mathematical Journal
2 Proceedings of the Japan Academy. Series A
2 Quaestiones Mathematicae
2 Semigroup Forum
...and 114 more Serials
all top 5

Cited in 42 Fields

1,539 Group theory and generalizations (20-XX)
307 Combinatorics (05-XX)
187 Geometry (51-XX)
117 Algebraic topology (55-XX)
78 Number theory (11-XX)
53 Algebraic geometry (14-XX)
50 Associative rings and algebras (16-XX)
50 Nonassociative rings and algebras (17-XX)
44 Computer science (68-XX)
28 Order, lattices, ordered algebraic structures (06-XX)
27 Field theory and polynomials (12-XX)
27 Manifolds and cell complexes (57-XX)
25 Linear and multilinear algebra; matrix theory (15-XX)
21 \(K\)-theory (19-XX)
21 Quantum theory (81-XX)
18 Information and communication theory, circuits (94-XX)
17 Functional analysis (46-XX)
14 Mathematical logic and foundations (03-XX)
14 Topological groups, Lie groups (22-XX)
13 Category theory; homological algebra (18-XX)
12 Convex and discrete geometry (52-XX)
11 General and overarching topics; collections (00-XX)
11 Commutative algebra (13-XX)
10 Functions of a complex variable (30-XX)
8 General algebraic systems (08-XX)
6 Operator theory (47-XX)
6 General topology (54-XX)
5 History and biography (01-XX)
5 Probability theory and stochastic processes (60-XX)
4 Statistics (62-XX)
3 Several complex variables and analytic spaces (32-XX)
3 Dynamical systems and ergodic theory (37-XX)
3 Global analysis, analysis on manifolds (58-XX)
3 Operations research, mathematical programming (90-XX)
2 Relativity and gravitational theory (83-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-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 Statistical mechanics, structure of matter (82-XX)

Citations by Year

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