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math.GR2022
Conjugacy classes of maximal cyclic subgroups of metacyclic -groups
M. Bianchi, R. D. Camina, Mark L. Lewis
In this paper, we set to be the number of conjugacy classes of maximal cyclic subgroups of a finite group . We compute for all metacyclic -groups. We show that…
math.GR2022
Conjugacy classes of maximal cyclic subgroups and nilpotence class of -groups
M. Bianchi, R. D. Camina, Mark L. Lewis
In this paper, we set to be the number of conjugacy classes of maximal cyclic subgroups of . We prove that if is a -group of order and nilpotence class ,…
math.GR2022
Conjugacy classes of maximal cyclic subgroups
M. Bianchi, R. D. Camina, Mark L. Lewis +1
In this paper, we set to be the number of conjugacy classes of maximal cyclic subgroups of . We consider and direct and semi-direct products. We characterize the norm…