Plesken W. — Group Rings of Finite Groups Over P-Adic Integers :: Электронная библиотека попечительского совета мехмата МГУ

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Plesken W. — Group Rings of Finite Groups Over P-Adic Integers

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Название: Group Rings of Finite Groups Over P-Adic Integers

Автор: Plesken W.

Язык:

Рубрика: Математика/

Серия: Lecture Notes in Mathematics

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1983

Количество страниц: 156

Добавлена в каталог: 12.09.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID

Предметный указатель

$c_{i}$       60
$M_{i}$ , $_{i}M$       9
$r_{s}$       60
$\varkappa_{s}$       48
2-transitive permutation group      92
Admissible set (of lattices)      15f 41
Amalgamating factor      64
Amalgamation matrix      69
Antiautomorphisms      61 1211
Automorphisms (of orders)      61
Block of multiplicity 1      80ff
Block of multiplicity 1, examples ......      86ff
Block with cyclic defect group      131ff
Block with cyclic defect group, over p-adics      139ff
Brauer reciprocity      51
Characterization of graduable orders      28
Characterization of graduated orders      18
Characterization of projective lattices      76
Characterization of separable orders      21—22
Cocycle      29
Codifferent      35 36
Conductor      47
Conductor formula      47 48
Congruences for central characters      57 78f 84 138
Decomposition numbers (modified)      50
Dimension type (of a graduated order)      8
Discriminants (of some relevant Dedekind rings)      55f
Distributive lattice (with respect to $\cap$ and /+)      16ff 26 41
Dual (R-module)      43 72f
Duality      73
Exponent matrix      8 60
Exterior power      93
Frame (of a commutative separable order)      31
Galois descent for blocks with cyclic defect      139ff
Galois descent for graduable orders      34
Generalized trace map      43

Graduable order      26
Graduated hull      40
Graduated order      7
Group ring (resp. principal block) of $M_{11}$ at p=2,3      102ff
Group ring (resp. principal block) of $PSL_{3}(3)$ at p=2      97f
Group ring (resp. principal block) of $PSL_{3}(4)$ at p=3      100f
Group ring (resp. principal block) of $SL_{2}(q)$ at p=2      109ff
Group ring (resp. principal block) of $S_{10}$       95f
Group ring (resp. principal block) of (special) metacyclie groups      53f
Group ring (resp. principal block) of Aff(1,9)      89f
Hasse invariant      29
Hereditary order      7
Inertia algebra      21 23
Injective lattice of a graduated order      9
Irreducible lattice      1 60
Isomorphism types of graduated orders      12
Jacobson radical (or a graduated order)      9
Lower amalgamating factor      64ff
Maximal order      7 13
Maximal separable suborder      23
Multiplicities      9 14 49 80
Partition      64ff
Projective lattice of a graduated order      9
Ramification index      59
Reciprocity (for amalgamating factors)      65 66
Schur-index      29 52
Selfdual order      43
Separable order      21
Standard form (of a graduated order)      8
Structural invariants (of a graduated order)      10ff
Structure of graduable orders      3 2
Structure of local graduable orders      29
Twisted group ring      43ff
Two-sided ideals of a graduated order      9
Uniserial modules      38
Upper amalgamating factor      64ff

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