On \(\{2,3\}\)-groups without elements of order 6.

DOI10.1134/S0037446614060123zbMath1325.20033OpenAlexW2002974669MaRDI QIDQ2352691

Daria V. Lytkina, Victor D. Mazurov

Publication date: 3 July 2015

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446614060123

zbMATH Keywords

Frobenius groupsperiodic groupslocally finite groupsBurnside groupslocal finitenesslocally cyclic groupssets of element ordersBurnside problemlocally quaternion groupsgroups of exponent 6

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) General structure theorems for groups (20E34) Local properties of groups (20E25)

Uses Software

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Cites Work

• On groups of exponent 36.
• Periodic groups acting freely on abelian groups.
• Some groups of exponent \(72\).
• Groups of exponent 24.
• Periodic groups acting freely on Abelian groups.
• On regular automorphisms of order \(3\) and Frobenius pairs
• A characterization of alternating groups
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