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Torsion Functors of Local Cohomology Modules

โœ Scribed by Mohammad T. Dibaei; Alireza Vahidi


Publisher
Springer Netherlands
Year
2009
Tongue
English
Weight
319 KB
Volume
14
Category
Article
ISSN
1386-923X

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๐Ÿ“œ SIMILAR VOLUMES


Cofinite modules and local cohomology
โœ Donatella Delfino; Thomas Marley ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 522 KB
Local Cohomology of Modules of Covariant
โœ Michel van den Bergh ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 429 KB

Let G be a connected reductive algebraic group over an algebraically closed field of characteristic zero and let W, U be two finite dimensional representations of G. In this paper we compute the local cohomology of (U SW ) G provided a certain relatively weak technical condition is true.

Torsion-Free Space Groups, 2-Cohomology,
โœ Gerald Cliff; Hongliu Zheng ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 141 KB

For a subgroup C of order p of a finite group G, we find the summand M of the G 2 ลฝ . p -adic permutation module ind Z such that H G, M /0, and determine when C p M is the Scott module. This is applied to the study of torsion-free space groups.