7 papers
Linking conjugacy classes and minimal invariant characters of normal subgroups
MarÃa José Felipe, Iris Gilabert, Lucia Sanus
Let be a finite group and a normal subgroup of . We report on recent results concerning minimal -invariant characters of (which are the sums of the characters on…
On degrees of minimal invariant characters
MarÃa José Felipe, Iris Gilabert, Lucia Sanus
It is well known that finite groups with exactly two character degrees have an abelian derived subgroup and, consequently, are solvable. Let be a finite group and a normal…
Groups with a conjugacy class that is the difference of two normal subgroups
Mark L. Lewis, Lucia Morotti, Emanuele Pacifici +2
We consider finite groups having a conjugacy class that is the difference of two normal subgroups. That is, suppose is a group and and are normal subgroups so that $N <…
On a character correspondence associated to -projectors
MarÃa José Felipe, Iris Gilabert, Lucia Sanus
We study the conditions under which the head characters of a finite solvable group, as defined by I. M. Isaacs, behave well with respect to restriction. We also determine the inter…
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…
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…