This article is cited in 2 papers

On the spectrum of sums of generators in a finite group

S. P. Strunkov

Moscow Engineering Physics Institute (State University)

Abstract: Let $K$ be any finite extension field of the field of rationals, and let $n$ and $\alpha_1,\dots,\alpha_n$ be given natural numbers. It is shown that there are only finitely many isomorphism classes of finite groups $G$ on $n$ generators $a_1,\dots,a_n$ such that the spectrum of the element $\sum\limits_{i=1}^n\alpha_ia_i$ of the algebra $\mathbf CG$ lies in $K$.

UDC: 519.4

MSC: Primary 20C05; Secondary 20C15

Received: 06.02.1989

 English version: Mathematics of the USSR-Izvestiya, 1991, 37:2, 461–463

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