1 citations · 2 across the 12 of their papers we have counts for
16 papers
Groups with conjugacy classes of coprime sizes
Rachel D. Camina, Attila Maróti, Emanuele Pacifici +6
Suppose that , are elements of a finite group lying in conjugacy classes of coprime sizes. We prove that is an abelian nor…
Group cosets with all elements of equal order
Alan R. Camina, Rachel D. Camina, Mark L. Lewis +3
Let be a finite group and a proper, nontrivial, normal subgroup of . If, for every element of not lying in , the elements in the coset all have the same…
Semi-extraspecial -groups with automorphisms of large order
Sofia Brenner, Rachel D. Camina, Mark L. Lewis
In this paper, we consider semi-extraspecial -groups that have an automorphism of order . We prove that these groups are isomorphic to Sylow -subgroups of ${\…
On non self-normalizing subgroups
Mariagrazia Bianchi, Rachel D. Camina, Mark L. Lewis +2
Let be a non negative integer, and define to be the family of all finite groups having precisely conjugacy classes of nontrivial subgroups that are not self-normalizi…
Powers of conjugacy classes in a finite group
Antonio Beltrán, Rachel Deborah Camina, María José Felipe +1
Many results have been established that show how the number of conjugacy classes appearing in the product of classes affect the structure of a finite group. The aim of this paper i…
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…