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Griess R.L.Jr. — Twelve sporadic groups |
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Предметный указатель |
"Extra automorphism" of A 97
36 95
22
121
76ff
, 117
117
111
55 57
116
18 119
57 118
117
-lattice 90
, , 59
105
-lattice 91
132
, , 59
, Aut() 31 32
, simclicity of 101
123
, simplicity of 108
123
, double transitivity of 105
, simplicity of 105
132
11
, , , 71
121
-lattice 91
13
, , , 71
-lattice 91
-lattice 91
134
-lattice 91
-lattice theta function 92
, , 134
, , , 71
, 1 131 134
134
134
134
134
-lattice theta function 92
92
, n-th cohomology group 12
135
104 123
135
137
44 77
39 77
44 77
95
, 60
61
39
18 66
66 75
, , , , 54ff
62ff 85ff 119 123
, classes of elements of order 3 87
75 114ff
75
2 6 18 19 47 54ff
97
, conjugacy of involutions 110
, maximality of 100
117
21
30
20
11 119
, , , 57
57
91
30
29
57
71
136
132
118
, , z 113
114
28
33 117
95
, 64 86
, for 95
86 117
, 64
118
124
, 64
97
97
, the semiintegers 93
117
124
, 64
, 64
, 84
, the standard Leech lattice 95
, , 95
, 85
95
118
78
, , 26
, , symbols for the Monster 1 131
, the projective line over the field of 23 elements, , the projective line over the field F 60
, the projective line over the field of 7 elements 59
, the projective plane over the field of 4 elements 66
, standard basis for 95
, a common symbol for dodecad 37ff
30
39
, a common symbol for an octad 36
71
, , 48 68
48 68
78
121
54ff
40
95
, a primitive cube root of unity in 30
, multiplication by 42
117
18 19
, the other primitive cube root of unity in 30
-labeled points 82
42
41 42
42 57
, 84
, 85
9
116
122
, , 83
26 64
, 64 86
85
86
85
85
| , for 95
117
, , , 117
133
((abcd)) 78
(T) 78
.223 121
.223, simplicity of 107
.333 122
.abc, the stabilizer in Aut() of a triangle of type abc 101
2-rank 75
27th sporadic 138
4-tuple labeling 77 82
6-tuple labeling map 39
A.B, A:B, 11
abc, triangle of type 101
Accents graves 35
Additive functor 12
AGL(2,3) 66
Alperin, Jon 15 19
Alternating groups 16
Anisotropic 25
Annihilator 90
Associated graph 124
Associated labeled set 78
Associated picture 37
Augmentation submodule 4
Aut() 116
Aut() 84ff 117 119
Aut(C), Aut*(C), for a code C 27
Aut(F) 26
Aut(L), for a lattice L 89
B 132ff
Baby Monster 133 134
Balance condition, well-balanced condition 40 78
Balance, hexacode 34
Balanced set, parity, well balanced 40 76
Benson, David 3 137
Bilinear 24 25
Bilinear function 21
BINARY 25
Binary Golay code 36
Boolean sum 24
Broue, Michel 135
Burnside Basis Theorem 8
Burnside Normal p-Complement Theorem 8
C=C(z), centralizer of the involution z 117 131ff
Central extension 14
Chevalley — Steinberg presentation 22
Choi, Chang 54
Classes of elements of order 3 in 87
Classes of elements of order 5 in 122
Classification of even unimodular lattices 93
Classification of finite simple groups 137
Classification theorems 125
Cocode 26 80
Code equivalence, strict equivalence 27
Code equivalence, strict equivalence, thickened codes 27
Code parameters 25
Code, linear error correcting codes, error correcting codes 25ff
Cohomology of groups 12
Column distribution 81
Commuting criterion 57
Conjugacy classes 1A, 2A, 2B, 3A, 3C, 4A, 4B, 5A, 6A 135
Conjugacy classes of elements of order 3 in Aut() 120
Conjugacy of involution in 111
Conjugacy of involutions in 110
Conway groups, , , , 101
Coordinate permutations 26
Covering 14
Coxeter group 22
Curran, Peter 19
Curtis, Robert 3 54
Cycle shape 116 118
Cycle shapes 116
Darstellungsgruppe 15
Defective 24
Degenerate 24
Degree 5
Diag(n,F), 26 27
Diagonal group 26
Diagonal matrices 68
Distance 25
Dodecad 37ff
Dodecad pure subspace 70
Dodecad triangle 52
Dodecad-universe pure subspace 71
Dodecads, left and right, L, R 64 86
Dodecads: subspaces with none 75
Elements of order 3 116ff
Elliptic modular function, j 135
Equivalent codes, strict linear equivalence 27
Error correcting codes 25
Error correcting properties of tetracode 77
Essential extension 14
Even elements 6
Existence corollary 134
Extended monomial group 26
Extension 11
Extension kernel 11
Extension quotient 11
Extension theory 3
Extension, simultaneous componentwise downward 22
Extension, simultaneous componentwise upward 22
Extra automorphism 133
Extraspecial p-group 19
Feit, Walter 3 8
Field automorphism 68
Finite groups of Lie type 16
Finiteness 133
Fischer — Griess Monster 1 131ff
Fischer — Griess simple group 1 131ff
Fischer, Bernd 1 133
Formula for the number of isotropic subspaces 27
Fours group, 2A-pure 133
Foursome 81
Frame 102
Frame in 94
Frames fixed by 112
Frattini argument 5
Frattini subgroup 8
Frohardt, Daniel 136
FSX(3,4) 55 67 75 108
functor 12
G() 72ff
G() 55 57ff
G() 55 58
G() 55 57
G(i) 59
G(X), , L(X) 55
Generations 1
Genus zero 135
GL(2,112)2 137
GL(2,3) 76
GL(2,F) 60
GL(3,2) 14 137
GL(4,2) 57
GL(n,F) 9
GL(n,q) 6
Golay cocode 38
Golay code, binary Golay code, 27 36ff
Golay code, uniqueness of 44 46
Gorenstein, Daniel 19 137 138
Gram matrix 88
Graph 124
Griess algebra 135
Griess, Robert 15
Half spin lattice, 92
Hall — Janko group 104 123
Hamming code 27
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