1 citations · 2 across the 12 of their papers we have counts for
5 papers · 1 filter
On groups that can be covered by conjugates of finitely many cyclic or procyclic subgroups
Yiftach Barnea, Rachel Camina, Mikhail Ershov +1
Given a discrete (resp. profinite) group , we define to be the smallest number of cyclic (resp. procyclic) subgroups of whose conjugates cover . In this paper we…
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…
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 ,…
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…
The Amit-Ashurst conjecture for finite metacyclic p-groups
Rachel D. Camina, William Cocke, Anitha Thillaisundaram
The Amit conjecture about word maps on finite nilpotent groups has been shown to hold for certain classes of groups. The generalised Amit conjecture says that the probability of an…