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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: 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.


References [Enhancements On Off] (What's this?)

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  • [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 $ \vert G\vert$, 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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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1991-1049135-8
Article copyright: © Copyright 1991 American Mathematical Society

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