Maximal $\textrm {PSL}_2$ Subgroups of Exceptional Groups of Lie Type, David A. Craven
Автор: Madabusi S. Raghunathan Название: Discrete Subgroups of Lie Groups ISBN: 3642864287 ISBN-13(EAN): 9783642864285 Издательство: Springer Рейтинг: Цена: 14635.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Our interest, by and large, is in a special class of discrete subgroups of Lie groups, viz., lattices (by a lattice in a locally compact group G, we mean a discrete subgroup H such that the homogeneous space GJ H carries a finite G-invariant measure). It is assumed that the reader has considerable familiarity with Lie groups and algebraic groups.
Автор: Joseph Kirtland Название: Complementation of Normal Subgroups: In Finite Groups ISBN: 311047879X ISBN-13(EAN): 9783110478792 Издательство: Walter de Gruyter Цена: 16169.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
Starting with the Schur-Zassenhaus theorem, this monograph documents a wide variety of results concerning complementation of normal subgroups in finite groups. The contents cover a wide range of material from reduction theorems and subgroups in the derived and lower nilpotent series to abelian normal subgroups and formations.
Contents Prerequisites The Schur-Zassenhaus theorem: A bit of history and motivation Abelian and minimal normal subgroups Reduction theorems Subgroups in the chief series, derived series, and lower nilpotent series Normal subgroups with abelian sylow subgroups The formation generation Groups with specific classes of subgroups complemented
Автор: Ragnar-Olaf Buchweitz Название: Maximal Cohen-Macaulay Modules and Tate Cohomology ISBN: 1470453401 ISBN-13(EAN): 9781470453404 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 15675.00 р. Наличие на складе: Поставка под заказ.
Описание: This book is a lightly edited version of the unpublished manuscript Maximal Cohen-Macaulay modules and Tate cohomology over Gorenstein rings by Ragnar-Olaf Buchweitz. The central objects of study are maximal Cohen-Macaulay modules over (not necessarily commutative) Gorenstein rings. The main result is that the stable category of maximal Cohen-Macaulay modules over a Gorenstein ring is equivalent to the stable derived category and also to the homotopy category of acyclic complexes of projective modules. This assimilates and significantly extends earlier work of Eisenbud on hypersurface singularities. There is also an extensive discussion of duality phenomena in stable derived categories, extending Tate duality on cohomology of finite groups. Another noteworthy aspect is an extension of the classical BGG correspondence to super-algebras. There are numerous examples that illustrate these ideas. The text includes a survey of developments subsequent to, and connected with, Buchweitz's manuscript.
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