Prime Factors of Conjugacy Classes of Finite Solvable Groups

Pamela A. Ferguson

doi:10.2307/2048515

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Prime Factors of Conjugacy Classes of Finite Solvable Groups

Pamela A. Ferguson

Year: 1991 Journal: Proceedings of the American Mathematical Society Vol: 113 (2)Pages: 319-319 Publisher: American Mathematical Society

DOI: 10.2307/2048515

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Abstract

A bound for the number of primes dividing $[G:Z(G)]$ for certain finite solvable groups $G$ is given in terms of the maximal number of primes dividing a conjugacy class.

Keywords:

Conjugacy class Mathematics Prime (order theory) Combinatorics Solvable group Class (philosophy) Finite group Prime number Upper and lower bounds Discrete mathematics Group (periodic table) Pure mathematics Computer science Physics Mathematical analysis Abelian group

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Finite Group Theory Research

Physical Sciences → Mathematics → Discrete Mathematics and Combinatorics

Analytic Number Theory Research

Physical Sciences → Mathematics → Algebra and Number Theory

Limits and Structures in Graph Theory

Physical Sciences → Mathematics → Discrete Mathematics and Combinatorics

Prime Factors of Conjugacy Classes of Finite Solvable Groups

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