Abstract
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.
Original language | English (US) |
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Title of host publication | Birational Geometry, Rational Curves, and Arithmetic |
Publisher | Springer New York |
Pages | 57-76 |
Number of pages | 20 |
ISBN (Electronic) | 9781461464822 |
ISBN (Print) | 9781461464815 |
DOIs | |
State | Published - Jan 1 2013 |
ASJC Scopus subject areas
- General Mathematics