6 papers · 1 filter
The number of composite class sizes in finite groups
Vittorio Bagnara, VÃctor Sotomayor
We consider finite groups with at least three conjugacy class sizes that are composite numbers and we prove that, in that situation, the number of prime class sizes is bounded by t…
Finite groups in which almost all class sizes are prime numbers
Carmine Monetta, VÃctor Sotomayor
In this paper we study arithmetical and structural features of a finite group that possesses exactly two conjugacy class sizes that are composite numbers.
Groups with triangle-free graphs on p-regular classes
MarÃa José Felipe, Marc Kelly Jean-Philippe, VÃctor Sotomayor
Let be a prime. In this paper we classify the -structure of those finite -separable groups such that, given any three non-central conjugacy classes of -regular element…
Groups whose common divisor graph on -regular classes has diameter three
M. J. Felipe, M. K. Jean-Philippe, V. Sotomayor
Let be a finite -separable group, for some fixed prime . Let be the common divisor graph built on the set of non-central conjugacy classes of -regular elemen…
On -character tables for normal subgroups
MarÃa José Felipe, MarÃa Dolores Pérez-Ramos, VÃctor Sotomayor
Let be a normal subgroup of a finite group . From a result due to Brauer, it can be derived that the character table of contains square submatrices which are induced by…
Determining hypercentral Hall subgroups in finite groups
VÃctor Sotomayor
Let be a finite group, and let be a set of primes. The aim of this paper is to obtain some results concerning how much information about the -structure of can be g…