Woodcock, C.F.
(2009)
*Reciprocal Polynomials and p-Group Cohomology.*
Algebras and Representation Theory, 12
(6).
pp. 597-604.
ISSN 1386-923X.
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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 |
---|---|

Uncontrolled keywords: | Invariant theory; Group rings; p-Group; Cohomology |

Subjects: | Q Science > QA Mathematics (inc Computing science) > QA150 Algebra |

Divisions: | Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science > Pure Mathematics |

Depositing User: | Chris F Woodcock |

Date Deposited: | 02 Dec 2009 09:54 |

Last Modified: | 02 Jan 2012 11:22 |

Resource URI: | http://kar.kent.ac.uk/id/eprint/23445 (The current URI for this page, for reference purposes) |

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