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math.GR2013
On the number of conjugacy classes of -elements in finite groups
Attila Maroti, Hung Ngoc Nguyen
Let be a finite group and be a set of primes. We show that if the number of conjugacy classes of -elements in is larger than times the -part of then $…
math.GR2013
On the non-coprime k(GV) problem
Robert M. Guralnick, Attila Maroti
Let V be a finite faithful completely reducible FG-module for a finite field F and a finite group G. In various cases explicit linear bounds in |V| are given for the numbers of con…
math.GR2013
Character degree sums of finite groups
Attila Maroti, Hung Ngoc Nguyen
We present some results on character degree sums in connection with certain characteristics of finite groups such as p-solvability, solvability, supersolvability, and nilpotency. S…