Let G be a periodic group, and let ω(G)⊆N be the spectrum of G that is the set of orders of elements in G. We prove that the alternating group A7 is uniquely recognized by its spectrum in the class of all groups.
Recognizing A_7 by Its Set of Element Orders
E. Jabara;
2021-01-01
Abstract
Let G be a periodic group, and let ω(G)⊆N be the spectrum of G that is the set of orders of elements in G. We prove that the alternating group A7 is uniquely recognized by its spectrum in the class of all groups.
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