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NonAbelian Groups and the Number of the Group Irreducible Character
Author: LiuZhiHui
Tutor: FanZuo
School: Wuhan University
Course: Basic mathematics
Keywords: Finite Groups Finite pgroup Irreducible character Conjugated Commutator subgroup Centralizer
CLC: O152
Type: Master's thesis
Year: 2005
Downloads: 52
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Abstract
This paper studies the noncommutative finite group G is irreducible character counts and the link between the structure group G consists of the following two parts. The first part , note the order of a finite group G and the number of irreducible character ratio of μ (G), we studied the general noncommutative finite group G of the structure and μ (G) the relationship between the group G through order the smallest prime factor and commutator subgroup G ' was the smallest prime factor μ (G) is a lower bound , and gives a necessary and sufficient to achieve the lower bound condition . The second part , we have established a noncommutative finite pgroup G with its conjugate relationship between the number of classes , and got smaller rank pgroup G between the number of conjugacy classes with a more concise mutual determine relationships .

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CLC: > Mathematical sciences and chemical > Mathematics > Algebra,number theory, portfolio theory > Group theory
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