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Elements of prime power order and their conjugacy classes in finite groups
Published online by Cambridge University Press: 09 April 2009
Abstract
We show that, for any positive integer k, there are only finitely many finite groups, up to isomorphism, with exactly k conjugacy classes of elements of prime power order. This generalizes a result of E. Landau from 1903. The proof of our generalization makes use of the classification of finite simple groups.
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- Copyright © Australian Mathematical Society 2005
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