Izvestiya. Mathematics, Tome 37 (1991) no. 2, pp. 461-463
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S. P. Strunkov. On the spectrum of sums of generators in a finite group. Izvestiya. Mathematics, Tome 37 (1991) no. 2, pp. 461-463. http://geodesic.mathdoc.fr/item/IM2_1991_37_2_a9/
@article{IM2_1991_37_2_a9,
author = {S. P. Strunkov},
title = {On the spectrum of sums of generators in a finite group},
journal = {Izvestiya. Mathematics},
pages = {461--463},
year = {1991},
volume = {37},
number = {2},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_1991_37_2_a9/}
}
TY - JOUR
AU - S. P. Strunkov
TI - On the spectrum of sums of generators in a finite group
JO - Izvestiya. Mathematics
PY - 1991
SP - 461
EP - 463
VL - 37
IS - 2
UR - http://geodesic.mathdoc.fr/item/IM2_1991_37_2_a9/
LA - en
ID - IM2_1991_37_2_a9
ER -
%0 Journal Article
%A S. P. Strunkov
%T On the spectrum of sums of generators in a finite group
%J Izvestiya. Mathematics
%D 1991
%P 461-463
%V 37
%N 2
%U http://geodesic.mathdoc.fr/item/IM2_1991_37_2_a9/
%G en
%F IM2_1991_37_2_a9
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 $K$.
