A class of finite groups with zero deficiency

On the Structure of Some Deficiency Zero Groups

Groups of deficiency zero

We make a systematic study of groups of deeciency zero, concentrating on groups of prime-power order. We prove that a number of p-groups have deeciency zero and give explicit balanced presentations for them. This signiicantly increases the number of such groups known. We describe a reasonably general computational approach which leads to these results. We also list some other nite groups of dee...

on zero patterns of characters of finite groups

the aim of this note is to characterize the finite groups in which all non-linear irreducible characters have distinct zero entries number.

Minimal Zero Sequences of Finite Cyclic Groups

If G is a finite Abelian group, let MZS(G, k) denote the set of minimal zero sequences of G of length k. In this paper we investigate the structure of the elements of this set, and the cardinality of the set itself. We do this for the class of groups G = Zn for k both small (k ≤ 4) and large (k > 2n 3 ).

on the structure of some deficiency zero groups

0