Conjugacy classes and finite p-groups |
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| Authors: | Edith Adan-Bante |
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| Affiliation: | (1) University of Southern Mississippi Gulf Coast, 730 East Beach Boulevard, Long Beach, MS 39560, USA |
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| Abstract: | Let G be a finite p-group, where p is a prime number, and a ∈ G. Denote by Cl(a) = {gag−1| g ∈ G} the conjugacy class of a in G. Assume that |Cl(a)| = pn. Then Cl(a) Cl(a−1) = {xy | x ∈ Cl(a), y ∈ Cl(a−1)} is the union of at least n(p − 1) + 1 distinct conjugacy classes of G. Received: 16 December 2004 |
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| Keywords: | 20D15 |
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