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Schmidt O.Yu. — Abstract theory of groups
Schmidt O.Yu. — Abstract theory of groups



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Название: Abstract theory of groups

Автор: Schmidt O.Yu.

Язык: en

Рубрика: Математика/Алгебра/Теория групп/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1966

Количество страниц: 184

Добавлена в каталог: 26.03.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Abel      10
Abelian group      10 90
Abelian group, characters      129
Abelian group, type      99
Abstract group      20
Ahrens      112
Alternating group      44
Automorphism      51
Automorphism, cogredient      51
Automorphism, contragredient      52
Automorphism, group      52 100 105
Automorphism, inner      51
Automorphism, outer      52
Basis of an Abelian group      94
Burnside      40 42 56 57 111 117 121 125 129 148 152 156 157 159 160 162
Caley table      17
Capelli      48
Cauchy      68
Cayley      17 42
Center of a group      38
Central elements      29
Central elements, isomorphism      95
Character of a matrix      129
Characteristic equation      128
Characteristic equation, series      73
Characteristic equation, series of Abelian groups      107
Characteristic equation, simple group      54
Characteristic equation, subgroup      37
Characteristics of first degree      130
Chief series      74
Classes of conjugate elements      27
Cole      162
Commensurable groups      24
Commutant      80
Commutative graps      10
Commutator      38
Commutator, subgroup      38
Commuting elements      10
Commuting sets      27
Complete group      56
Composite group      35
Conjugate elements      26
Conjugate subgroups      26
Constant matrix      130
Contragredient automorphism      52
cosets      15
Coxeter      60
Cyclic group      10
Cyclic permutation      6
Decomposable group      32
Dedekind      15 117
Defining relations      19 40
Degree of a group of permutations      8
Determinant      127
Dickson      4 103 162
Dihedral group      46
Direct product      32
Divisor      10
Double cosets      13
Dyck      40 42 57
Elementary group      54
Equivalence by a double module      14
Equivalent matrices      130 131
Equivalent representations      130 131
Even permutation      44
Expansion by a double module      14 15 66
Feit      129 160
Finite group      4
First derived group      38
Fite      125
Frobenius      15 27 37 49 54 65 66 72 74 81 84 85 94 105 107 110 115 129 148 159 162 163
Frobenius' theorems      66 81
Fundamental basis of Abelian group      94
Galois      15 30 103 162
Generating elements of a group      19 39
Genus zero group      46
Group matrix      130
Group matrix, irreducible parts      138
Group matrix, reducible      131
Group matrix, regular      140
Group, kind of: Abelian      10 90
Group, kind of: abstract      20
Group, kind of: alternating      44
Group, kind of: automorphism      52 100 105
Group, kind of: characteristic simple      54
Group, kind of: commutative      10
Group, kind of: complete      56
Group, kind of: composite      35
Group, kind of: cyclic      10
Group, kind of: decomposable      32
Group, kind of: dihedral      46
Group, kind of: elementary      54
Group, kind of: Hamiltonian      117
Group, kind of: icosahedral      46
Group, kind of: imprimitive      69
Group, kind of: intransitive      68
Group, kind of: k-ply transitive      68
Group, kind of: metabelian      125
Group, kind of: octahedral      46
Group, kind of: order 12      87
Group, kind of: order 6      18
Group, kind of: order 8      62
Group, kind of: order p2      60
Group, kind of: order p3      123
Group, kind of: order pq      86
Group, kind of: order, p      16
Group, kind of: perfect      38
Group, kind of: primitive      69
Group, kind of: quaternion      62
Group, kind of: simple      35 162
Group, kind of: solvable      78
Group, kind of: special      109
Group, kind of: Sylow      109
Group, kind of: symmetric      44
Group, kind of: tetrahedral      46
Hall      60
Hamilton      63
Hamiltonian group      117
Hilton      52 90
Hoelder      52 56 57 60 75 76 88 162
Holohedric isomorphism      50
Holomorph      103
Homogeneous linear permutation      103
Homomorphism      48 49
Homomorphism, (n/m)-valued      50
Icosahedral group      46
Identity element      2
Identity matrix      128
Identity representation      149
Imprimitive group      69
Index: of a subgroup      15 23
Index: of an irreducible part      139
Infinite group      4
Inner automorphism      51
Intersection of groups      23
Intransitive group      68
Invariant elements      29
Invariant subgroup      29
Invariants of an Abelian group      93
Inverse element      3
Irreducible parts of a group matrix      138
Isomorphism      20 48 49 95
JORDAN      50 74 75 76 79
Jordan-Holder Theorem      75
k-ply transitive group      68
Klein      48
Lagrange      15 16
Lagrange theorem      16
Landau      63
Lie      38
Ling      162
Loewy      111 112
Maschke      135
Matrices      126
Matrix of a group      130
Maximal normal subgroup      35
Merohedric homomorphism      50
Metabelian group      125
Miller      39 89 125 162
Minimal basis of Abelian group      95
Module      13 126
Moore      4
Moser      60
Multiple homomorphism      50
Normal subgroup      29
normalizer      28
Octahedral group      46
Odd permutation      44
Order: of a class      29
Order: of a group      4
Order: of an element      12
Outer automorphism      52
Perfect group      38
Permutation      5
Permutation group      6
Permutation group, regular      59
Pfeiffer      46
Poincare      24
Polyhedral group      46
Primitive group      69
Product of groups      32 65
Proper subgroups      10
Quaternions      62
Quotient group      34
Rank: of a rectangular matrix      127
Rank: of an Abelian group      95
Reducible matrix      131
Reducible matrix representation      131
Reduction of a group matrix      137
Regular group matrix      140
Regular group matrix of permutations      59
Relatively prime groups      23
Remak      95 111
Representation: by permutations      47 70
Representation: equivalent      131
Representation: identity      149
Representation: of a group      136
Residues by a module      15
Rietz      160
Scalar matrix      128
Schmidt      95
schur      129 152
Schur's lemma      142
Seguier      38 47 49 125
Semigroup      47
Senior      60
Series: of commutants      80
Series: of generalized centers      112
Sets of intransitivity      69
Siceloff      162
Similar elements of a group      27
Simple characters      144
Simple group      35 162
Solvable group      78
Special group      109
Specialty of a group      112
Stickelberger      94 98
Structure of a group      17
Subgroup      9
Subgroup, characteristic      37
Subgroup, commutator      38
Subgroup, conjugate      26
Subgroup, index      15 23 34
Subgroup, invariant      29
Subgroup, maximal normal      35
Subgroup, normal      29
Subgroup, proper      10
Subgroup, Sylow      109
Sylow      66 85 90 115
Sylow group      109
Sylow's first theorem      66 90
Sylow's second theorem      85 115
Symmetric group      44
Tetrahedral group      46
Thompson      129 160
Transposition      43
Turkin      160
Type of abelian group      99
Weber      46 48 94 129
Wedderburn      95
Wendt      114
Young      112
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