On Euler classes of abelian-by-finite groups

Details On Euler classes of abelian-by-finite groups On Euler classes of abelian-by-finite groups

2001-12-12

arxiv.org/abs/math/0112129v1

Mathematics

Rings and Algebras

12 pages, 2 figures, AMSLaTeX

Scientific paper

Let $G$ be a finitely generated abelian-by-finite group and $k$ a field of characteristic $p\ge 0$. The Euler class $[k_G]$ of $G$ over $k$ is the class of the trivial $kG$-module in the Grothendieck group $G_0(kG)$. We show that $[k_G]$ has finite order if and only if every $p$-regular element of $G$ has infinite centralizer in $G$. We also give a lower bound for the order of the Euler class in terms of suitable finite subgroups of $G$. This lower bound is derived from a more general result on finite-dimensional representations of smash products of Hopf algebras.

Affiliated with

Also associated with

No associations

Rating

On Euler classes of abelian-by-finite groups does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On Euler classes of abelian-by-finite groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On Euler classes of abelian-by-finite groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-82702