A. R. Camina, Rachel D. Camina
Abstract
We consider finite groups in which every triple of distinct conjugacy class sizes greater than one has a pair which is coprime. We prove such a group is soluble and has conjugate rank at most three.
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We consider finite groups in which every triple of distinct conjugacy class sizes greater than one has a pair which is coprime. We prove such a group is soluble and has conjugate rank at most three.
Key concepts: Conjugacy class, Coprime integers, Mathematics, Class (philosophy), Rank (graph theory), Conjugate, Combinatorics, Pure mathematics