Difference between revisions of "Conjugacy class size set of a finite group"

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(Related group properties=)
(Relation with other statistics)
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The '''conjugacy class size set''' of a finite group <math>G</math> is the subset of <math>\mathbb{N}</math> comprising precisely those <math>c</math> such that there is a conjugacy class in <math>G</math> whose size is precisely <math>c</math>.
 
The '''conjugacy class size set''' of a finite group <math>G</math> is the subset of <math>\mathbb{N}</math> comprising precisely those <math>c</math> such that there is a conjugacy class in <math>G</math> whose size is precisely <math>c</math>.
  
===Relation with other statistics===
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==Relation with other statistics==
  
 
==Related group properties==
 
==Related group properties==
  
 
* [[Conjugacy class size set-determined group]]
 
* [[Conjugacy class size set-determined group]]

Revision as of 12:27, 30 May 2007

This article talks about a statistics, which could be a function or a set of numbers, associated with any finite group

Definition

Definition with symbols

The conjugacy class size set of a finite group G is the subset of \mathbb{N} comprising precisely those c such that there is a conjugacy class in G whose size is precisely c.

Relation with other statistics

Related group properties