On the integral cohomology of wreath products
Leary, Ian J. (1997) On the integral cohomology of wreath products. Journal of Algebra, 198, (1), 184-239. (doi:10.1006/jabr.1997.7151).
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Description/Abstract
We use the techniques pioneered by Nakaoka to study the integral cohomology of wreath products. The situation is considerably more complicated than for field coefficients. We describe the cohomology of H wr C for C cyclic of prime order and any H whose cohomology is finitely generated in each degree. We discuss various related results and conjectures concerning the exponent of integral cohomology of finite groups. These include a conjecture of A. Adem (recently solved by J. Pakianathan), conjectures of J. Carlson (one solved in this work), and some of our own. One example given is a 2-group whose index-four subgroups have non-trivial intersection, but whose integral cohomology has exponent four, answering a question posed in [ 8 ].
| Item Type: | Article |
|---|---|
| ISSNs: | 0021-8693 (print) |
| Related URLs: | |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | University Structure - Pre August 2011 > School of Mathematics > Pure Mathematics |
| Item ID: | 29825 |
| Date Deposited: | 02 May 2007 |
| Last Modified: | 12 Oct 2011 08:56 |
| Contributors: | Leary, Ian J. (Author) |
| Date: | 1997 |
| Status: | Published |
| URI: | http://eprints.soton.ac.uk/id/eprint/29825 |
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