A note on finite C-tidy groups

Let $G$ be a group and $x in G$. The cyclicizer of $x$ is defined to be the subset $Cyc(x)={ y in G | is cyclic}. $G$ is said to be a tidy group if $Cyc(x)$ is a subgroup for all $x in G$. We call $G$ to be a C-tidy group if $Cyc(x)$ is a cyclic subgroup for all $x in G setminus K(G)$, where $K(G)$...

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Bibliographic Details
Main Author: Sekhar Jyoti Baishya
Format: Article
Language:English
Published: University of Isfahan 2013-09-01
Series:International Journal of Group Theory
Subjects:
Online Access:http://www.theoryofgroups.ir/?_action=showPDF&article=2009&_ob=40492b1ec662d802b7e99ceac68fc720&fileName=full_text.pdf.