Index
Page locations for definitions, as well as for references which are
particularly fundamental, are indicated in boldface.
∗, central product A B, 251
I(A),
p -subgroups invariant under
p-group A, 138, 220
abstract minimal parabolic, 87, 87, 94, 102,
235, 294, 295
AG(X), automizer NG(X)/CG(X), 174
algebraic groups (as approach to Lie type
groups), 17, 257
almost
-special groups, 104, 106, 110, 112–114,
116, 118, 122, 124
strongly p-embedded, see also embedded
Alperin, J.
-Brauer-Gorenstein, 2-rank 2
[ABG70, ABG73b, ABG73a] , 34,
35
-Gorenstein, transfer and fusion [AG67,
p 243], 178
Alperin-Goldschmidt conjugation family,
270, 270, 271, 288
Alperin-Goldschmidt Fusion Theorem, 98,
270, 288
alternating simple groups, 254
Alternating Theorem, 49, 53
Alward, L.
standard
Ω−(2)
8
[Alw79] , 59
amalgam, 86, 96, 104, 105, 116, 118, 226,
263, 296
Goldschmidt —, 97, 113, 115, 119, 122,
219
method, 96, 97, 104, 106, 110, 111,
113–118, 120, 121, 170, 223
leading to “small” modules, 97
parameter b for —, 97
Am-block, 293
Andrilli, S.
uniqueness of O N [And80] , 260
Aschbacher, M., 42, 45, 54, 68, 115, 187,
220, 279, 280, 307, 309
characterization of G2(3) [Asc02b] , 119
characterization of HS [Asc03b] , 119
characterization of M12 [Asc03a] , 112,
118
characterization of U3(3) [Asc02a] , 118
classical involution theorem
[Asc77a, Asc77b] , 40, 46, 170, 247,
259
minor correction [Asc80a], 46
condition for strongly embedded [Asc73]
, 180
e(G) = 3 classification
part I [Asc81b], 75, 128, 145, 180,
216, 247
part II [Asc83a], 75, 133, 180, 216,
219, 247
finite group theory (book) [Asc00] , 267,
268, 276, 290, 292
GF (2)-representations [Asc82] , 93, 96,
146, 170, 231, 242, 247, 291, 292, 301,
302
-Gorenstein-Lyons, uniqueness theorems
[AGL81], 79, 133, 141, 145, 149, 214,
215, 215
large extraspecial (unitary) [Asc77], 77,
185, 188, 189, 199, 207
large symplectic not extraspecial
[Asc76a], 77, 185, 205
Lie type and odd characteristic [Asc80b]
, 247, 259
Local C(G, T ) theorem [Asc81a], 207,
293
L2(2n)
standard blocks [Asc81d], 298
odd transpositions [Asc72] , 175, 180,
188, 207, 208, 265
pushing-up results [Asc81d] , 233, 247,
299
pushing-up theorem [Asc78a] , 207, 298
-Segev, uniqueness of J4 [AS91] , 108,
260
-Seitz, involutions in characteristic 2
[AS76a] , 54, 133, 146, 170, 179, 180,
187, 189, 199, 201, 258
minor correction , 54
333
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