Groups Whose Element Orders do not Exceed 6

It is proved that a periodic group whose element orders do not exceed 6 either is a locally finite or is group of exponent 5.

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Bibliographic Details
Published in:Algebra and logic 2014-11, Vol.53 (5), p.365-376
Main Authors: Lytkina, D. V., Mazurov, V. D., Mamontov, A. S., Jabara, E.
Format: Article
Language:English
Subjects:
Algebra
Analysis
Group theory
Mathematical Logic and Foundations
Mathematics
Mathematics and Statistics
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Summary:It is proved that a periodic group whose element orders do not exceed 6 either is a locally finite or is group of exponent 5.
ISSN:0002-5232
1573-8302
DOI:10.1007/s10469-014-9297-2