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1.

図書

図書
Daniel Gorenstein
出版情報: New York : Harper & Row, c1968  xv, 527 p. ; 24 cm
シリーズ名: Harper's series in modern mathematics
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2.

図書

図書
Daniel Gorenstein
出版情報: New York : Plenum Press, c1982  x, 333 p. ; 24 cm
シリーズ名: The University series in mathematics
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3.

図書

図書
classified by Daniel E. Gorenstein, editor
出版情報: Providence, R.I. : American Mathematical Society, 1974  xi, 706 p. ; 25 cm
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4.

図書

図書
by Daniel Gorenstein . by Maxwell Rosenlicht . by M. Artin ... [et al.]
出版情報: Bures-sur-Yvette : Institut des hautes études scientifiques, 1969  297 p. ; 27 cm
シリーズ名: Publications mathématiques ; no. 36
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5.

図書

図書
Gorenstein, Daniel
出版情報: New York : Plenum Press, c1983  x, 487 p. ; 24 cm
シリーズ名: The University series in mathematics ; . The classification of finite simple groups / Daniel Gorenstein ; v. 1
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6.

図書

図書
Daniel Gorenstein, Richard Lyons, Ronald Solomon
出版情報: Providence, R.I. : American Mathematical Society, c1994-  v. ; 26 cm
シリーズ名: Mathematical surveys and monographs ; v. 40
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目次情報: 続きを見る
Some theory of linear algebraic groups
The finite groups of Lie type
Local subgroups of groups of Lie type I
Local subgroups of groups of Lie type II
The alternating groups and the twenty-six sporadic groups
Coverings and embeddings of quasisimple $\mathcal {K}$-groups
General properties of $\mathcal {K}$-groups Background
References Expository
References Errata for numbers 1 and 2
Glossary
Index
Chapters 1-4: Uniqueness Theorems / Part II:
General lemmas Strongly embedded subgroups and related
Conditions On Involutions $P$-Component Uniqueness Theorems
Properties of $K$-groups Background
References Errata for number 3, Chapter I$_A$: Almost simple $\mathcal K$-groups
Index of terminology
Theorem $C_7$: General Introduction
General group-theoretic results
Theorem $C^*_7$: Stage 1
Theorem $C^*_7$: Stage 2
Theorem $C^*_7$: Stage 3a
Properties of $K$-groups
Background
References
Glossary of symbols and terms
Preface
The Special Odd Case / Part IV:
General Introduction to the Special Odd Case / Chapter 1:
The Goals: Theorems [characters not reproducible] and [characters not reproducible] / 1:
Theorems [characters not reproducible] and [characters not reproducible] / 2:
General Comments on the Proof of Theorem [characters not reproducible] / 3:
Theorem [characters not reproducible] and Its Proof / 4:
General Lemmas / Chapter 2:
The Bender/Glauberman Method
p-Groups and Coprime Action
Transfer and Fusion
2-Components and 2-Groups
Pumpups and 2-Terminality / 5:
Terminality / 6:
Semirigidity / 7:
Preuniqueness Subgroups / 8:
Signalizer Functors and Balance / 9:
Ordinary Character Theory / 10:
Modular Character Theory / 11:
BN-Pairs / 12:
Number Theory / 13:
Miscellaneous / 14:
Theorem [characters not reproducible]: Stage 1 / Chapter 3:
Introduction
The 2-Rank 2 Case: Alperin's Theorem
Theorem 2: 2-Terminal 2-Components of 2-Rank 1
The Fusion of z and Structure of Q
Involutory f-Automorphisms
Elimination of f-Automorphisms
Theorem 3: The Nonfused Case
Theorem 3: The Fused Case
Theorem 4: 2-Terminal 2-Components of 2-Rank [greater than or equal] 2
The O'N Case
Theorem 5
Groups of 2-Rank 3
2-Groups of Type M[subscript 12]
The Proof of Theorem 6
Theorem [characters not reproducible]: Stage 2 / Chapter 4:
The Structure of Involution Centralizers
Other K-Subgroups of G
Odd Order Signalizers
An Equivariant K[superscript infinity]-Theorem
Theorem 1: Uniqueness Properties of M
Theorem 1: The Case m[subscript 2](S) [greater than or equal] 3
Theorem 1: The Case m[subscript 2](S) = 2
Theorems 2 and 3: Normalizers of z-Invariant Subgroups of O[subscript p](M)
Theorem 2: {2, p}-Uniqueness Properties of M
Theorem 2: Reduction to the Ly Case
Theorem 2: The Ly Case
Theorem 3: The 2-Rank 2 Case
The Identification of L[subscript 3](q)
Reduction to L[subscript 3](q)-Levi Form / 15:
The L[subscript 3](q)-Levi Form Case / 16:
Theorems 4 and 5: The Structure of M / 17:
Theorems 4 and 5: Uniqueness Properties of M / 18:
The Strong B-Property / 19:
Theorem 6 / 20:
Theorem [characters not reproducible]: Stage 3 / Chapter 5:
Theorem 1: The Embedding of F
Character Theory for the Dihedral Case
Coherence
The Case [vertical bar S vertical bar greater than or equal] 8
Theorem BG[subscript 2]: The Case [vertical bar S vertical bar greater than or equal] 8
Character Theory for the Case [vertical bar S vertical bar] = 4
Elimination of the Extruded Case
The Identification of A[subscript 7]
The Identification of L[subscript 2](7) and A[subscript 6]
Reduction to the Brauer-Suzuki-Wall Case
The Identification of L[subscript 2](q)
Theorem 3: The Case M = QS
Theorem 3: The Structure of C
Theorem 3: The Final Contradiction
Theorem 4: Local Analysis
Regularity and [vertical bar G vertical bar]: Stage 1
Regularity: The Case B [not equal] 1
Regularity: The Case Q = 1
G [approximate] U[subscript 3](q)
Theorem [characters not reproducible]: Stage 4 / Chapter 6:
Theorem 1: Field Automorphisms
The Characteristic of K
G [approximate superscript 2]G[subscript 2](q)
Theorem 2: The Weyl Group
Theorem 2: The Torally Singular Case
Theorem 2: The Case q = 3[superscript n greater than sign] 9
Theorem 2: The Case q = 9
Theorem 3: The Structure of a Sylow p-Subgroup of G
The (B, N)-Pair Structure of G
The Commutator Relations
The Action of K[subscript 1]H
The Isomorphism Type of G
Theorem [characters not reproducible]: Stage 5 / Chapter 7:
Theorem Sp: 2-Local Structure
The p-Locals of G
The Identification of PSp[subscript 4](q)
SL[subscript 4 superscript plus or minus 1](q)-Amalgams
Theorem LU: Local Structure
Theorem LU: The General Case
Theorem LU: The L[subscript 4](5) Case
Theorem 1 / Chapter 8:
Theorems 2 and 3
Terminally Unbalancing Triples
Theorem 4: Balance with Respect to Elements of [epsilon subscript *](G)
Theorem 5: L[subscript 2](G) [subset equals] [characters not reproducible]
Theorem 7
Theorem [characters not reproducible]: Stages 2 and 3 / Chapter 9:
Theorem 1: The L[subscript 3](4) Case
Theorem 1: The L[subscript 2](q), A[subscript 7] Cases
Fusion in the A[subscript n] Cases
Theorem 2: Elements of V[subscript 2 superscript *](G)
The Level of Balance
Signalizer Functors
The L-Preuniqueness of M
Theorems 3 and 4: Reductions
The L[subscript 3](4) Case
G [approximate] A[subscript n]
IV[subscript K]: Preliminary Properties of K-Groups / Chapter 10:
The Groups L[subscript 2](q) and A[subscript 7]
The Groups L[subscript 3](4) and U[subscript 3](4)
Product Structures
Other Groups of Lie Type
Alternating Groups and Some Sporadic Groups
Generation of K-Groups
Pumpups
2-Signalizers and p-Stability
K-Groups with Prescribed Local Subgroups
Signalizers and Balance
Representations
Background References
Expository References
Some theory of linear algebraic groups
The finite groups of Lie type
Local subgroups of groups of Lie type I
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