Bounding the order of a group with a large conjugacy class
In this paper, we present results for a group theoretic analog to a parameter defined in terms of irreducible character degrees. Let be a finite group and be the size of the largest conjugacy class of . The parameter is defined by the equation . We show that where is the smallest prime dividing the...
Saved in:
Published in | Journal of group theory Vol. 18; no. 2; pp. 201 - 207 |
---|---|
Main Author | |
Format | Journal Article |
Language | English |
Published |
Berlin
De Gruyter
01.03.2015
Walter de Gruyter GmbH |
Subjects | |
Online Access | Get full text |
Cover
Loading…
Summary: | In this paper, we present results for a group theoretic analog to a parameter defined in terms of irreducible character degrees. Let
be a finite group and
be the size of the largest conjugacy class of
. The parameter
is defined by the equation
. We show that
where
is the smallest prime dividing the order of
and classify groups that satisfy this bound. |
---|---|
Bibliography: | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23 |
ISSN: | 1433-5883 1435-4446 |
DOI: | 10.1515/jgth-2014-0033 |