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Your search keyword '"Conjugacy class"' showing total 2 results
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2 results on '"Conjugacy class"'

1. Finite groups with three conjugacy class sizes of primary and biprimary elements

Author

Qinhui Jiang and Changguo Shao

Subjects
Set (abstract data type), Combinatorics, Mathematics::Group Theory, Conjugacy class, Coprime integers, Finite groups,conjugacy class sizes,primary and biprimary elements, General Mathematics, Structure (category theory), Mathematics
Abstract

We determine the structure of finite $\pi(m)$-separable groups if the set of conjugacy class sizes of primary and biprimary elements is $\{1, m, mn\}$, where $m$ and $n$ are two coprime integers.

Published
2015

2. Products of conjugacy classes and products of irreducible characters in finite groups

Author

Sajjad Mahmood Robati and Mohammad Reza Darafsheh

Subjects
Combinatorics, Discrete mathematics, Finite group, Character (mathematics), Conjugacy class, Character table, General Mathematics, Product (mathematics), Conjugacy classes,irreducible characters,products, Upper and lower bounds, Mathematics
Abstract

Let G be a finite group. If A and B are two conjugacy classes in G, then AB is a union of conjugacy classes in G and h(AB) denotes the number of distinct conjugacy classes of G contained in AB. If c and y are two complex irreducible characters of G, then cy is a character of G and again we let h(cy) be the number of irreducible characters of G appearing as constituents of cy. In this paper our aim is to study the product of conjugacy classes in a finite group and obtain an upper bound for h in general. Then we study similar results related to the product of two irreducible characters.

Published
2014

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