Journal of Advances in Mathematics and Computer Science

The Degree of a p-group G with | G' | = p

Mohammad Hassan Abbaspour *

Faculty of Sciences, Khoy Branch, Islamic Azad University, Khoy, Iran.

*Author to whom correspondence should be addressed.

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Abstract

Let G be a finite group and δ (G) denote the least n ∈   such that G is isomorphic to a subgroup of the symmetric group S_n. The number δ (G) is called the degree of G. This paper is a note on δ (G) for a nite p-group G with derived subgroup of order p. Our method is based on quasi- permutation representations of a finite group.

Keywords: Degree of a finite group, quasi-permutation representation, character theory.

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