Gorenstein D., Lyons R., Solomon R. — Classification of Finite Simple Groups: Groups of Noncharacteristic 2 (Part 1 G) :: Электронная библиотека попечительского совета мехмата МГУ

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Gorenstein D., Lyons R., Solomon R. — Classification of Finite Simple Groups: Groups of Noncharacteristic 2 (Part 1 G)

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Название: Classification of Finite Simple Groups: Groups of Noncharacteristic 2 (Part 1 G)

Авторы: Gorenstein D., Lyons R., Solomon R.

Язык:

Рубрика: Математика/Алгебра/Теория групп/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1996

Количество страниц: 232

Добавлена в каталог: 26.03.2005

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Предметный указатель

Subgroup, subnormal      7
Subgroup, subnormal, subnormal closure      29
Subgroup, Thompson      69 147—157
Subgroup, Thompson, acting on components      156
Subgroup, tightly embedded      107
Subgroup, weakly closed      95
Suzuki, M.      89 101 193 200
Symplectic pair      138
T.I. set      193
Theorem. Yoshida — Hall — Wielandt transfer theorems      94—95
Theorems, $L_{p'}$ -balance theorem of Gorenstein — Walter      29—31
Theorems, $L_{p*}$ -balance theorem      29
Theorems, $O_{p*}$ -balance theorem      26
Theorems, Alperin — Goldschmidt conjugation theorem      96
Theorems, Aschbacher quadratic four-group theorem      144
Theorems, Baer — Suzuki theorem      90
Theorems, Baumann — Glauberman — Niles theorem      158
Theorems, Bender — P. Hall F*-theorem      7
Theorems, Bender — Thompson signalizer lemma      130
Theorems, Bender’s uniqueness theorems      110 112 114
Theorems, Block-section orthogonality theorem      196
Theorems, Brauer — Suzuki lemma      193
Theorems, Brauer — Suzuki quaternion theorem      89
Theorems, Brauer — Wielandt formula      198
Theorems, Brauer’s first main theorem      195
Theorems, Brauer’s second main theorem      196
Theorems, Brauer’s third main theorem      196
Theorems, Burnside transfer theorem      97
Theorems, Clifford’s theorem      55 191
Theorems, Feit — Thompson Odd Order Theorem      1
Theorems, Feit — Thompson transitivity theorem      133
Theorems, Feit’s coherence criterion      194
Theorems, Focal subgroup theorem      90
Theorems, Frobenius normal p-complement theorem      98
Theorems, Frobenius reciprocity theorem      191
Theorems, Gaschutz’ theorem      61
Theorems, Glauberman correspondence theorem      193
Theorems, Glauberman solvable factorization theorem      149
Theorems, Glauberman Z*-theorem      90
Theorems, Glauberman ZJ-theorem      141
Theorems, Glauberman — Thompson normal p-complement theorems      99
Theorems, Goldschmidt-O’Nan lemma      86

Theorems, Hall theorem on groups of symplectic type      62
Theorems, Hall — Higman lemma      1 2 3 79
Theorems, Hall — Higman theorem B      57
Theorems, Huppert’s theorem      94
Theorems, Konvisser’s theorem on normal p-rank      66
Theorems, Krull — Schmidt theorem      12
Theorems, Local C(G, T)-theorem of Aschbacher      159
Theorems, Maschke’s theorem      55
Theorems, McBride nonsolvable signalizer functor theorem      123
Theorems, Orthogonality relations      190 197
Theorems, Schur — Zassenhaus theorem      17
Theorems, Schur’s lemma      54
Theorems, Solvable $L_{p'}$ -balance theorem      82
Theorems, Solvable signalizer functor theorem of Glauberman      123
Theorems, Thompson $A \times B$ lemma      73
Theorems, Thompson dihedral lemma      135
Theorems, Thompson order formula      198
Theorems, Thompson replacement theorem      140
Theorems, Thompson theorem on Frobenius kernels      56
Theorems, Thompson transfer lemma      93
Theorems, Thompson “3 against 2” lemma      150
Theorems, Three subgroups lemma      7
Theorems, Timmesfeld replacement theorem      155
Theorems, Tits recognition of BN-pairs of rank      2 175
Thompson factorization      147—157
Thompson factorization, set-up      147
Thompson, J.G.      1 17 56 69 72—73 99 101 110 129—134 135 140 147—157 198
Timmesfeld, F.      153 155
Tits system      174 (see also “BN-pair”)
Tits, J.      174 175
Transfer (or p-transfer)      90—96
Transfer (or p-transfer), control of      91
Transfer (or p-transfer), transfer homomorphism      90
Transversal      3
Unbalancing triple      121
Uniqueness subgroups      101—109
Universal completion of amalgam      162
Universal covering group      6
Walter, J.H.      5 7 16 118
Wedderburn, J.H.M.      54
Wielandt, H.      9 94 95 198
Yoshida, T.      92 94 95
Zassenhaus, H.      17

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