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Total Character of a Group G with (G, Z(G)) as a Generalized Camina Pair

2015; Cambridge University Press; Volume: 59; Issue: 2 Linguagem: Inglês

10.4153/cmb-2015-074-5

1496-4287

Sunil Kumar Prajapati, Ritumoni Sarma,

Coding theory and cryptography

Abstract We investigate whether the total character of a finite group G is a polynomial in a suitable irreducible character of G . When ( G , Z ( G )) is a generalized Camina pair, we show that the total character is a polynomial in a faithful irreducible character of G if and only if Z ( G ) is cyclic.