INDEX
accidental isomorphisms 40
adjoint group 15, 38
adjoint module 26
affine algebra 2
algebraic group, JF-algebraic group, F-linear algebraic group 2
adjoint version 15
connected component of 3
dimension of 3
isogeny of 15
isomorphism of 2
morphism of 2
radical of 7
reductive 7
semisimple 7, 15
components of 8
simple 7
simply connected 15
solvable 6-7
universal version 15
Alperin-Goldschmidt conjugation family 94
alternating groups 252-259
coverings of 253
natural module for 252
rank of 258
Atlas 259
notation 260
references to 279, 284, 285
automorphism 27, 53-62
diagonal 53, 56
field, graph, graph-field 60, 62, 140
inner-diagonal 59-60
outer 58
semisimple 4, 119-143
of equal-rank, graph, or parabolic type 125
Balance 385-399
local 1-balance 385-388, 390-391
local /c-balance, k 1 388-390
strong local 1-balance 392-393
weak local 1-balance 389-390
414
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