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A note on p-groups of order ≤ p4
Authors:Houshang Behravesh  Hamid Mousavi
Affiliation:(1) Faculty of Science, Department of Mathematics, University of Urmia, Urimia, Iran;(2) Department of Mathematics, University of Tabriz, Tabriz, Iran
Abstract:In [1], we defined c(G), q(G) and p(G). In this paper we will show that if G is a p-group, where p is an odd prime and |G| ≤ p 4, then c(G) = q(G) = p(G). However, the question of whether or not there is a p-group G with strict inequality c(G) = q(G) < p(G) is still open.
Keywords:Quasi-permutation representations   p-groups  character theory
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