On periodic groups with narrow spectrum


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Abstract

We study groups with no elements of big orders. We prove that if the set of element orders of G is {1, 2, 3, 4, p, 9}, where p ∈ {7, 5}, then G is locally finite.

About the authors

A. S. Mamontov

Sobolev Institute of Mathematics

Author for correspondence.
Email: andreysmamontov@gmail.com
Russian Federation, Novosibirsk

E. Jabara

Dipartimento di Filosofia e beni culturali

Email: andreysmamontov@gmail.com
Italy, Dorsoduro, Venezia


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