On the integral cohomology of wreath products

Leary, Ian J. (1997) On the integral cohomology of wreath products Journal of Algebra, 198, (1), pp. 184-239. (doi:10.1006/jabr.1997.7151).


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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
Digital Object Identifier (DOI): doi:10.1006/jabr.1997.7151
ISSNs: 0021-8693 (print)
Related URLs:
ePrint ID: 29825
Date :
Date Event
Date Deposited: 02 May 2007
Last Modified: 16 Apr 2017 22:21
Further Information:Google Scholar
URI: http://eprints.soton.ac.uk/id/eprint/29825

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