Abstract
Generalizing an idea of Farrell we prove that for a ring and a ring automorphism of finite order the groups and all of its –primary subgroups are either trivial or not finitely generated as an abelian group. We also prove that if and are ring automorphisms such that is of finite order then and all of its –primary subgroups are either trivial or not finitely generated as an abelian group. These Nil-groups include the Nil-groups appearing in the decomposition of of virtually cyclic groups for .
Citation
Joachim Grunewald. "Non-finiteness results for Nil-groups." Algebr. Geom. Topol. 7 (4) 1979 - 1986, 2007. https://doi.org/10.2140/agt.2007.7.1979
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