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A lower bound for the number of conjugacy classes of a finite group

A lower bound for the number of conjugacy classes of a finite group.
Authors: Maróti, Attila;

A lower bound for the number of conjugacy classes of a finite group

Abstract

Every finite group whose order is divisible by a prime $p$ has at least $2 \sqrt{p-1}$ conjugacy classes.

references added to the Introduction

Country
Hungary
Keywords

numbers of conjugacy classes, QA Mathematics / matematika, finite linear groups, finite simple groups, FOS: Mathematics, Group Theory (math.GR), Mathematics - Group Theory, Arithmetic and combinatorial problems involving abstract finite groups, Group rings of finite groups and their modules (group-theoretic aspects), finite groups, Conjugacy classes for groups

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    influence
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
15
Top 10%
Top 10%
Average
Green
hybrid