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Kerber A. — Representations of Permutation Groups II |
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Предметный указатель |
Basis group 5
Basis group, diagonal of 6
Bell number 125
Burnside, lemma of 108
Class 154
Composition of groups 143
Contragredient representation 96
Cycle product 9
Cycle-index 135
Cycle-index, exterior 148
Cycle-index, generalized 138
Diagonal of basis group 6
Direct product of groups 142
Direct sum of groups 142
Enumeration theorem of exponentiation group, constant form 113
Enumeration theorem of exponentiation group, weighted form 134
Enumeration theorem of power group, constant form 113
Enumeration theorem of power group, weighted form 134
Enumeratively equivalent 151
Enumeratively equivalent, strongly 151
Exponentiation group 111
Exponentiation group, enumeration theorem of (constant form) 113
Exponentiation group, enumeration theorem of (weighted form) 134
Exterior cycle-index 148
First kind, representation of the 96
Generalized cycle-index 138
Graph, type of 119
Group reduction function 137
Group, basis 5
Group, k-sequences 117
Group, k-sets 117
Group, non-simple-phase 99
Group, reduced k-sequences 118
Group, simple phase 99
Group-reduced distribution 162
Groups, composition of 143
Groups, direct product of 142
Groups, direct sum of 142
Groups, exponentiation of 111
Groups, matrix group of 145
Groups, of class 154
Groups, Weyl 8
Inner symmetrized product 69
k-sequences group 117
k-sets group 117
Lemma of Burnside 108
Matrix group 145
Necklace-problem 104
| Non-simple-phase group 99
Non-simple-phase, representation 99
Operator, weighted 131
Outer plethysm 149
Outer symmetrized product 65
Pattern 110
Pattern inventory 129
Plethysm, outer 149
Polya insertion 135
Polynomial identity,standard 91
Power group 111
Power group, enumeration theorem of (constant form) 113
Power group, enumeration theorem of, (weighted form) 134
Probenius' formula 90
Problem, necklace 104
Product, cycle 9
Product, symmetrized inner 69
Product, symmetrized outer 65
Product, symmetrized outer (of S-functions) 150
RANGE 162
Range correspondence 162
Reduced k-sequences group 118
Relatives 153
Representation of the first kind 96
Representation of the second kind 96
Representation of the third kind 96
Representation, contragredient 96
Representation, non-simple-phase 99
Representation, simple phase 99
S-functions 89
Schur-functions 89
Second kind, representation of the 96
Simple-phase group 99
Simple-phase group representation 99
Standard polynomial identity 91
Store enumerator 129
Strongly enumeratively equivalent 151
Symmetrized product, inner 69
Symmetrized product, outer 65
Symmetrized product, outer, (of S-functions) 150
Third kind, representation of 96
Transitive factor 161
Type of 10
Type of a graph 119
Type of F* 27
Weighted operator 131
Weyl groups 8
Wreath product 5
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