On the Solvability of groups with four class sizes
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Title
On the Solvability of groups with four class sizesDate
2012Publisher
World Scientific PublishingISSN
0219-4988; 1793-6829Bibliographic citation
Journal of Algebra and Its Applications, April 2012, Vol. 11, No. 02Type
info:eu-repo/semantics/articlePublisher version
http://www.worldscientific.com/toc/jaa/11/02Version
info:eu-repo/semantics/acceptedVersionSubject
Abstract
It is shown that if the set of conjugacy class sizes of a nite group G is
f1; m; n;mng, where m; n are positive integers which do not divide each
other, then G is up to central factors a fp; qg-group. In particular, ... [+]
It is shown that if the set of conjugacy class sizes of a nite group G is
f1; m; n;mng, where m; n are positive integers which do not divide each
other, then G is up to central factors a fp; qg-group. In particular, G is
solvable. [-]
Is part of
Journal of Algebra and Its Applications, 2012, Vol. 11, Num. 02Rights
Copyright© 2013 World Scientific Publishing Co. All rights reserved. Electronic version of an article published as Journal of Algebra and Its Applications, Vol. 11, No. 02, 2012. DOI 10.1142/S0219498811005609
1250036. © copyright World Scientific Publishing Company http://www.worldscientific.com/worldscinet/jaa
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- MAT_Articles [765]