Index
!M(U), 499
!N(T), 113
A1-block, exceptional, 129
An-block, 124
Aut(a) (for an amalgam a), 260
C(G,S), 122.
C1(S) (for pushing up), 126
C2(S) (for pushing.up), 126
Ci(X, V) (for higher weak closure), 233
Dl!Q'S' (extraspecial group), 228
DI! (extraspecial group), 228
Ei(G, T, st), 210
F(G) (Fitting subgroup), 20
F*(G) (generalized Fitting subgroup), 19
Frob21 (Frobenius group of order 21), 255
G( {a, ,6}) (setwise stabilizer), 445
G2(2)-block, 135
G2(3)-type, 417
GA (pointwise stabilizer of A), 311
a(n) 'Y , 311
H^1 (G, V) (for module extensions), 408
I(X) (involutions), 431
Irr(X, V) (irreducible submodules), 31
Irr+(X, V) (irreducible modulo trivial), 31
Irr+(X, V, Y), 31
J(G, V) (generated by offenders), 68
J(M) (radical of a module), 343
J(X) (Thompson subgroup), 74
Ji(M) (iterated radical of a module), 343
Jj(X) (higher Thompson subgroup), 74
Jp(H), 70
L-balance, 414. L2(2n)-block, 124
Ln(2)-block, 135
L 21 (H) (2-layer), 414
M(>.i) (basic irreducible for Lie type group),
386
02,E(U), 491
02,F(U), 491
02,;p(U), 491
PG(V) (projective space of V), 327
Q'S' DI! ( extraspecial group), 228
lt'S' (extraspecial group), 228
1215R2(G) (maximal 2-reduced), 78
S('Yvy), 324
SLs(2n)-block, 135
Sp4(4)-block, 135
TI-set, 21
U(L) (internal module in a block), 123
Us(3)-type, 417
V(H) (for use with :S in final chapter), 61
V(Y), 59
V(Y,R), 59
W(X), 210
W(X,Sl), 210
Wi(X, V) (higher weak closure), 233
Y-amalgam (amalgam of subgroups), 267
r(1') (i.e., r^1 (1')), 311
ri('Y), 311
r<i('Y), 311
r:o;i('Y), 311
rk,P(H), 294
S1~(2n)-block, 135
8(H), 350
B(G, T), 508
B*(G, T) (solvable uniqueness groups), 509
B+(G, T), 584
B'.j_(G, T), 866
B-(G,T), 584
B1(G, T), 514
Bj(G, T), 514
Bp(L), 509
Brad(G, T), 509
s;ad(G, T), 512
a (module parameter' for (F -1)-offenders),
698
,6 (module parameter for odd action), 698
f'k,P(H) (corank-k generated core), 237x (block types for pushing up), 124
x-block, 124
xo (block types for SQT pushing up), 124
xo-block, 124
A5 (triple cover), 43
A5-block, 129
A1 (triple cover), 43
M22 (triple cover), 43