Bovdi, A.; Kovacs, L; Mihovski, S
Let p be a prime, F a field of pn elements, and G a finite p-group. It is shown here that if G has a quotient whose commutator subgroup is of order p and whose centre has index pk, then the group of normalized units in the group algebra F G has a conjugacy class of p nk elements. This was first proved by A. Bovdi and C. Polcino Milies for the case k = 2; their argument is now generalized and simplified. It remains an intriguing question whether the cardinality of the smallest noncentral...[Show more]
Items in Open Research are protected by copyright, with all rights reserved, unless otherwise indicated.