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2020/97/3-4 (15) — DOI: 10.5486/PMD.2020.8847 — pp. 483-495

On the $n$-iso-autoclinism of groups

Authors: Behnaz Tolue and Amin Rafiei

Abstract:

The present paper deals with some properties of $n$-iso-autoclinism. Moreover, it is proven that if $\operatorname{Aut}(G)$ is finitely generated and $K_{n+1}(G)$ is finite, then $K_{n}(\frac{G}{L(G)})$ is finite.

Keywords: autocommutator, absolute center, autonilpotent

Mathematics Subject Classification: 20D45, 20F18, 20F19, 20F28