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Reciprocal Polynomials and p-Group Cohomology

Woodcock, Chris F. (2009) Reciprocal Polynomials and p-Group Cohomology. Algebras and Representation Theory, 12 (6). pp. 597-604. ISSN 1386-923X. (doi:10.1007/s10468-008-9106-5) (The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided) (KAR id:23445)

The full text of this publication is not currently available from this repository. You may be able to access a copy if URLs are provided.
Official URL:
http://dx.doi.org/10.1007/s10468-008-9106-5

Abstract

Let p be a prime and let G be a finite p-group. In a recent paper (Woodcock, J Pure Appl Algebra 210: 193-199, 2007) we introduced a commutative graded Z-algebra R-G. This classifies, for each commutative ring R with identity element, the G-invariant commutative R-algebra multiplications on the group algebra R[G] which are cocycles (in fact coboundaries) with respect to the standard "direct sum" multiplication and have the same identity element. We show here that, up to inseparable isogeny, the "graded-commutative" mod p cohomology ring H*(G, F-p) of G has the same spectrum as the ring of invariants of R-G mod p (R-G circle times(Z) F-p)(G) where the action of G is induced by conjugation.

Item Type: Article
DOI/Identification number: 10.1007/s10468-008-9106-5
Uncontrolled keywords: Invariant theory; Group rings; p-Group; Cohomology
Subjects: Q Science > QA Mathematics (inc Computing science) > QA150 Algebra
Divisions: Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
Depositing User: Christopher Woodcock
Date Deposited: 02 Dec 2009 09:54 UTC
Last Modified: 16 Nov 2021 10:01 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/23445 (The current URI for this page, for reference purposes)

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