On Euler Classes of Abelian-by-finite Groups
نویسنده
چکیده
Let be a finitely generated abelian-by-finite group and k a field of characteristic p 0. We show that the Euler class of over k has finite order if and only if every p-regular element of has infinite centralizer in . We also give a lower bound for the order of the Euler class in terms of suitable finite subgroups of . This lower bound is derived from a more general result on finite-dimensional representations of smash products of Hopf algebras.
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