On finite C-tidy groups

A group G is said to be a C-tidy group if for every element x € G K(G), the set Cyc(x)={y € G | is cyclic} is a cyclic subgroup of G, where K(G) is the intersection of all the Cyc(x) in G. In this short note we determine the structure of finite C-tidy groups.

Bibliographic Details
Main Author:	Sekhar Jyoti Baishya
Format:	Article
Language:	English
Published:	University of Isfahan 2013-12-01
Series:	International Journal of Group Theory
Subjects:	Finite groups cyclicizers C-tidy groups
Online Access:	http://www.theoryofgroups.ir/?_action=showPDF&article=2838&_ob=51183452fe28ea3b47d017d831342fb6&fileName=full_text.pdf.

id	doaj-73f202c23f0c4effbabe53f1b6bd7d55
record_format	Article
spelling	doaj-73f202c23f0c4effbabe53f1b6bd7d552020-11-25T01:07:31ZengUniversity of IsfahanInternational Journal of Group Theory2251-76502251-76692013-12-01243941On finite C-tidy groupsSekhar Jyoti BaishyaA group G is said to be a C-tidy group if for every element x € G K(G), the set Cyc(x)={y € G \| is cyclic} is a cyclic subgroup of G, where K(G) is the intersection of all the Cyc(x) in G. In this short note we determine the structure of finite C-tidy groups.http://www.theoryofgroups.ir/?_action=showPDF&article=2838&_ob=51183452fe28ea3b47d017d831342fb6&fileName=full_text.pdf.Finite groupscyclicizersC-tidy groups
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Sekhar Jyoti Baishya
spellingShingle	Sekhar Jyoti Baishya On finite C-tidy groups International Journal of Group Theory Finite groups cyclicizers C-tidy groups
author_facet	Sekhar Jyoti Baishya
author_sort	Sekhar Jyoti Baishya
title	On finite C-tidy groups
title_short	On finite C-tidy groups
title_full	On finite C-tidy groups
title_fullStr	On finite C-tidy groups
title_full_unstemmed	On finite C-tidy groups
title_sort	on finite c-tidy groups
publisher	University of Isfahan
series	International Journal of Group Theory
issn	2251-7650 2251-7669
publishDate	2013-12-01
description	A group G is said to be a C-tidy group if for every element x € G K(G), the set Cyc(x)={y € G \| is cyclic} is a cyclic subgroup of G, where K(G) is the intersection of all the Cyc(x) in G. In this short note we determine the structure of finite C-tidy groups.
topic	Finite groups cyclicizers C-tidy groups
url	http://www.theoryofgroups.ir/?_action=showPDF&article=2838&_ob=51183452fe28ea3b47d017d831342fb6&fileName=full_text.pdf.
work_keys_str_mv	AT sekharjyotibaishya onfinitectidygroups
_version_	1725186787793436672

On finite C-tidy groups

Similar Items