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Regular version of the site

Book chapter

Isoclinism and Stable Cohomology of Wreath Products

P. 57-76.
Fedor Bogomolov, Böhning C.

Using the notion of isoclinism introduced by P. Hall for finite p-groups, we show that many important classes of finite p-groups have stable cohomology detected by abelian subgroups (see Theorem 11). Moreover, we show that the stable cohomology of the n-fold wreath product Gn=Z/p≀…≀Z/p of cyclic groups Z/p is detected by elementary abelian p-subgroups and we describe the resulting cohomology algebra explicitly. Some applications to the computation of unramified and stable cohomology of finite groups of Lie type are given.

In book

Edited by: F. A. Bogomolov, B. Hasset, Y. Tschinkel. Boston: Birkhäuser, 2013.