Shank, RJ and Fleischmann, P. and Kemper, G. (2004) On the depth of cohomology modules. Quarterly Journal of Mathematics, 55 (2). pp. 167-184. ISSN 0033-5606.
|The full text of this publication is not available from this repository. (Contact us about this Publication)|
We study the cohomology modules H-i(G,R) of a p-group G acting on a ring R of characteristic p, for i>0. In particular, we are interested in the Cohen-Macaulay property and the depth of H-i(G,R) regarded as an R-G-module. We first determine the support of H-i(G,R), which turns out to be independent of i. Then we study the Cohen-Macaulay property for H-1(G,R). Further results are restricted to the special case that G is cyclic and R is the symmetric algebra of a vector space on which G acts. We determine the depth of H-i(G,R) for i odd and obtain results in certain cases for i even. Along the way, we determine the degrees in which the transfer map Tr-G R -->R-G has non-zero image.
|Uncontrolled keywords:||INVARIANT RINGS|
|Subjects:||Q Science > QA Mathematics (inc Computing science)|
|Divisions:||Faculties > Science Technology and Medical Studies > School of Mathematics Statistics and Actuarial Science|
|Depositing User:||Judith Broom|
|Date Deposited:||19 Dec 2007 18:17|
|Last Modified:||14 Jan 2010 13:58|
|Resource URI:||http://kar.kent.ac.uk/id/eprint/497 (The current URI for this page, for reference purposes)|
- Depositors only (login required):