n-complete crossed modules and wreath products of groups

In this paper we examine the $n$-completeness of a crossed module and we show that if $X=(W_1,W_2,\partial)$ is an $n$-complete crossed module, where $W_i=A_i wr B_i$ is the wreath product of groups $A_i$ and $B_i$, then $A_i$ is at most $n$-complete, for $i=1,2.$ Moreover, we show that when $X=(W...

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Bibliographic Details
Main Authors: B. Davvaz, M.a. Dehghani
Format: Article
Language:English
Published: Tokat Gaziosmanpasa University 2021-04-01
Series:Journal of New Results in Science
Subjects:
Online Access:https://dergipark.org.tr/en/download/article-file/1691990
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