Prime factors of conjugacy classes of finite solvable groups

Author:
Pamela A. Ferguson

Journal:
Proc. Amer. Math. Soc. **113** (1991), 319-323

MSC:
Primary 20D10; Secondary 20C15

DOI:
https://doi.org/10.1090/S0002-9939-1991-1049135-8

MathSciNet review:
1049135

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Abstract | References | Similar Articles | Additional Information

Abstract: A bound for the number of primes dividing for certain finite solvable groups is given in terms of the maximal number of primes dividing a conjugacy class.

**[1]**D. Chillag and M. Herzog,*On the lengths of conjugacy classes of finite groups*, private correspondence.**[2]**D. Gluck,*A conjecture about character degrees of solvable groups*, J. Algebra (to appear). MR**1114902 (92g:20010)****[3]**P. Ferguson,*Connections between prime divisors of conjugacy classes and prime divisors of*, J. Algebra (to appear).**[4]**D. Gorenstein,*Finite groups*, Harper and Row, New York, 1968. MR**0231903 (38:229)****[5]**M. Hall,*The theory of groups*, MacMillan, New York, 1959. MR**0103215 (21:1996)****[6]**O. Manz,*Endliche auflösbare gruppen deren sämtliche charaktergrade primzahl-potenzen sind*, J. Algebra**94**(1985), 211-255. MR**789547 (86f:20009)**

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DOI:
https://doi.org/10.1090/S0002-9939-1991-1049135-8

Article copyright:
© Copyright 1991
American Mathematical Society