On classification of certain class of CP-groups

Zeinab Foruzanfar () and Mehdi Rezaei ()
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Zeinab Foruzanfar: Buein Zahra Technical University
Mehdi Rezaei: Buein Zahra Technical University

Indian Journal of Pure and Applied Mathematics, 2024, vol. 55, issue 1, 357-362

Abstract: Abstract In this paper, we determine all finite groups in which each element has order a power of a prime and have at most five non-central conjugacy classes with representatives of orders multiples of p, for each arbitrary prime number p.

Keywords: CP-group; Frobenius group; Conjugacy class; Centralizer; 20E45; 20D60 (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1007/s13226-023-00369-3

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