Groups with reality and conjugacy conditions

Many results were proved on the structure of finite groups with some restrictions on their real elements and on their conjugacy classes. We generalize a few of these to some classes of infinite groups. We study groups in which real elements are central, groups in which real elements are 2-elements,...

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Main Authors:	Patrizia Longobardi, David Chillag, Mercede Maj
Format:	Article
Language:	English
Published:	University of Isfahan 2012-06-01
Series:	International Journal of Group Theory
Subjects:	Conjugacy classes real elements FC-groups
Online Access:	http://www.theoryofgroups.ir/?_action=showPDF&article=715&_ob=6f754fe72c9779f6e33f857d2399a1c3&fileName=full_text.pdf

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spelling	doaj-a2dab1e79f7043aeb2ef9abf761d8ee32020-11-25T00:35:59ZengUniversity of IsfahanInternational Journal of Group Theory2251-76502251-76692012-06-01122538Groups with reality and conjugacy conditionsPatrizia LongobardiDavid ChillagMercede MajMany results were proved on the structure of finite groups with some restrictions on their real elements and on their conjugacy classes. We generalize a few of these to some classes of infinite groups. We study groups in which real elements are central, groups in which real elements are 2-elements, groups in which all non-trivial classes have the same finite size and FC-groups with two non-trivial conjugacy class sizes.http://www.theoryofgroups.ir/?_action=showPDF&article=715&_ob=6f754fe72c9779f6e33f857d2399a1c3&fileName=full_text.pdfConjugacy classesreal elementsFC-groups
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Patrizia Longobardi David Chillag Mercede Maj
spellingShingle	Patrizia Longobardi David Chillag Mercede Maj Groups with reality and conjugacy conditions International Journal of Group Theory Conjugacy classes real elements FC-groups
author_facet	Patrizia Longobardi David Chillag Mercede Maj
author_sort	Patrizia Longobardi
title	Groups with reality and conjugacy conditions
title_short	Groups with reality and conjugacy conditions
title_full	Groups with reality and conjugacy conditions
title_fullStr	Groups with reality and conjugacy conditions
title_full_unstemmed	Groups with reality and conjugacy conditions
title_sort	groups with reality and conjugacy conditions
publisher	University of Isfahan
series	International Journal of Group Theory
issn	2251-7650 2251-7669
publishDate	2012-06-01
description	Many results were proved on the structure of finite groups with some restrictions on their real elements and on their conjugacy classes. We generalize a few of these to some classes of infinite groups. We study groups in which real elements are central, groups in which real elements are 2-elements, groups in which all non-trivial classes have the same finite size and FC-groups with two non-trivial conjugacy class sizes.
topic	Conjugacy classes real elements FC-groups
url	http://www.theoryofgroups.ir/?_action=showPDF&article=715&_ob=6f754fe72c9779f6e33f857d2399a1c3&fileName=full_text.pdf
work_keys_str_mv	AT patrizialongobardi groupswithrealityandconjugacyconditions AT davidchillag groupswithrealityandconjugacyconditions AT mercedemaj groupswithrealityandconjugacyconditions
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Groups with reality and conjugacy conditions

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