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| Авторизация |
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| Green J.A. — Sets and Groups |
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| Предметный указатель |
Abelian 43
Additive notation 36 44
Alternating group 75
Associative law 37
Associative law for mappings 28
Automorphism 70 72
Automorphism, inner 71
Bijection 26
Bijective 26
Binary operation 35
Cayley's theorem 76
centralizer 56 64
Commutative law 37
Complement 8
Congruence classes 19
Conjugate elements 64
Conjugate elements, subgroups 66
cosets 58
Cyclic groups 52
Difference of sets 8
Disjoint 5
Domain 24
Duality 7
Element 1
Endomorphism 70
Epimorphism 70
Equivalence class 17
Equivalence class, relation 15
Generators 52
Generators of cyclic group 52
Group 42
Group, abelian 43
Group, acting on a set 54
Group, alternating 75
Group, cyclic 52
Group, simple 66
Group, symmetric 43
Gruppoid 41
Homomorphism 70
Homomorphism image 74
Homomorphism kernel 74
Homomorphism theorem 74
identities 7
Identity mapping 29
Image element 23
Image element of homomorphism 74
Implication 4
Index law 46
Index law of subgroup 61
Injection 26
Injective 26
Integers 2
Integers, congruence of 19
Intersection 4
Inverse element 42
| Inverse element, mapping 27
Isomorphism 72
Kernel 74
Lagrange's theorem 62
Mapping 23
Mapping, bijective 26
Mapping, identity 29
Mapping, injective 26
Mapping, inverse 27
Mapping, product 30
Mapping, surjective 26
Member 1
Monomorphism 70
Multiplicative notation 36 45
Normal subgroup 65
normalizer 56
Operation 35
Orbit 63
Order of set 2
Order of set of element of a group 53
Pairs 10
Partition 15
Permutation 31
Power 29 39
Product of sets 10
Product of sets of mappings 30
Quotient group 67
Quotient group, set 58
RANGE 24
Relation 14
Relation, equivalence 15
Relation, reflexive 15
Relation, symmetric 15
Relation, transitive 15
Residue 20
Russell's paradox 12
Semigroup 42
Sets 1
Sets, product of 10
Sets, set of 10
Sets, similar 32
Stabilizer 55
Subgroup 50
Subgroup, normal 65
Subset 3
Surjection 26
Surjective 26
Sylow's theorem 64
Symmetric group 43
transform 55
Transitive 15 63
Transversal 61
union 6
UNIT 40
Word 51
Zero 41
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