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1.

図書

図書
Michael Aschbacher, Don Blasius, Dinakar Ramakrishnan
出版情報: [s.l.] : International Press, c1988  357 p. ; 27 cm
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2.

図書

図書
Michael Aschbacher
出版情報: Cambridge [Cambridgeshire] ; New York : Cambridge University Press, 1986  ix, 274 p. ; 24 cm
シリーズ名: Cambridge studies in advanced mathematics ; 10
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3.

図書

図書
edited by Michael Aschbacher ... [et al.]
出版情報: Cambridge [Cambridgeshire] : Cambridge University Press, 1984  415 p. ; 24 cm
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目次情報: 続きを見る
Computation / 1:
Using the Classification / 2:
Properties of K-Groups / 3:
Groups and Algebras / 4:
Local Analysis / 5:
Amalgams and Finite Geometries / 6:
Representation Theory / 7:
Rigidity and Galois Groups / 8:
Other Connections with Number Theory / 9:
Other Directions. / 10:
Computation / 1:
Using the Classification / 2:
Properties of K-Groups / 3:
4.

図書

図書
Michael Aschbacher
出版情報: Cambridge ; New York : Cambridge University Press, 1994  xii, 314 p. ; 24 cm
シリーズ名: Cambridge tracts in mathematics ; 104
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目次情報: 続きを見る
Preface
Preliminary results / 1:
2-Structure in finite groups / 2:
Algebras, codes and forms / 3:
Symplectic 2-loops / 4:
The discovery, existence, and uniqueness of the sporadics / 5:
The Mathieu groups, their Steiner systems, and the Golay code / 6:
The geometry and structure of M24 / 7:
The Conway groups and the Leech lattice / 8:
Subgroups of .0 / 9:
The Griess algebra and the Monster / 10:
Subgroups of groups of Monster type / 11:
Coverings of graphs and simplicial complexes / 12:
The geometry of amalgams / 13:
The uniqueness of groups of type M24, He, and L5(2) / 14:
The groups U4(3) / 15:
Groups of Conway, Suzuki, and Hall-Janko type / 16:
Subgroups of prime order in five sporadic groups / 17:
Tables
References
Index
Preface
Preliminary results / 1:
2-Structure in finite groups / 2:
5.

図書

図書
M. Aschbacher
出版情報: Cambridge [Cambridgeshire] ; New York : Cambridge University Press, 2000  xi, 304 p. ; 24 cm
シリーズ名: Cambridge studies in advanced mathematics ; 10
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目次情報: 続きを見る
Preface
Preliminary results / 1:
Elementary group theory
Categories / 2:
Graphs and geometries / 3:
Abstract representations / 4:
Permutation representations
Sylow's Theorem / 5:
Representations of groups on groups
Normal series / 7:
Characteristic subgroups and commutators / 8:
Solvable and Nilpotent groups / 9:
Semidirect products / 10:
Central products and wreath products / 11:
Linear representations
Modules over the group ring / 12:
The general linear group and special linear group / 13:
The dual representation / 14:
Permutation groups
The symmetric and alternating groups / 15:
Rank 3 permutation groups / 16:
Extensions of groups and modules
1-cohomology / 17:
Coprime action / 18:
Spaces with forms
Bilinear, sesquilinear, and quadratic forms / 19:
Witt's Lemma / 20:
Spaces over finite fields / 21:
The classical groups / 22:
p-groups
Extremal p-groups / 23:
Coprime action on p-groups / 24:
Change of field of a linear representation
Tensor products / 25:
Representations over finite fields / 26:
Minimal polynomials / 27:
Presentations of groups
Free groups / 28:
Coxeter groups / 29:
Root systems / 30:
The generalized Fitting subgroup
Thompson factorization / 31:
Central extensions / 33:
Linear representations of finite groups
Characters in coprime characteristic / 34:
Characters in characteristic zero / 35:
Some special actions / 36:
Transfer and fusion
Transfer / 37:
Alperin's Fusion Theorem / 38:
Normal p-complements / 39:
Semiregular action / 40:
The geometry of groups of Lie type
Complexes / 41:
Buildings / 42:
BN-pairs and Tits systems / 43:
Signalizer functors
Solvable signalizer functors / 44:
Finite simple groups
Involutions in finite groups / 45:
Connected groups / 46:
The finite simple groups / 47:
An outline of the Classification Theorem / 48:
References
List of Symbols
Index
Preface
Preliminary results / 1:
Elementary group theory
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