Let G be a periodic group and let ω(G) be the spectrum of G. We prove that if G is isospectral to A7, the alternating group of degree 7 (i.e., ω(G) is equal to the spectrum of A7); then G has a finite nonabelian simple subgroup.
On Periodic Groups Isospectral to A7. II
Jabara E.;
2021-01-01
Abstract
Let G be a periodic group and let ω(G) be the spectrum of G. We prove that if G is isospectral to A7, the alternating group of degree 7 (i.e., ω(G) is equal to the spectrum of A7); then G has a finite nonabelian simple subgroup.
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