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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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 ].
|Digital Object Identifier (DOI):||doi:10.1006/jabr.1997.7151|
|Subjects:||Q Science > QA Mathematics|
|Divisions:||University Structure - Pre August 2011 > School of Mathematics > Pure Mathematics
|Date Deposited:||02 May 2007|
|Last Modified:||06 Aug 2015 02:30|
|RDF:||RDF+N-Triples, RDF+N3, RDF+XML, Browse.|
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