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math.GR2021
Frobenius Groups with Perfect Order Classes
James McCarron
The purpose of this paper is to investigate the finite Frobenius groups with "perfect order classes"; that is, those for which the number of elements of each order is a divisor of…
math.GR2020★ 1 cited
Hamiltonian Groups with Perfect Order Classes
James McCarron
A finite group is said to have "perfect order classes" if the number of elements of any given order is either zero or a divisor of the order of the group. The purpose of this note…
math.GR2012★ 7 cited
Connected Quandles with Order Equal to Twice an Odd Prime
James McCarron
We show that there is an unique connected quandle of order twice an odd prime number greater than 3. It has order 10 and is isomorphic to the conjugacy class of transpositions in t…