Groups whose element orders do not exceed 6.

DOI10.1007/S10469-014-9297-2zbMath1327.20043OpenAlexW2028333055MaRDI QIDQ2342327

Enrico Jabara, Daria V. Lytkina, Andrey Mamontov, Victor D. Mazurov

Publication date: 11 May 2015

Published in: Algebra and Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10469-014-9297-2

zbMATH Keywords

periodic groupslocally finite groupsBurnside groupslocal finitenesssets of element ordersspectra of groups

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) Local properties of groups (20E25)

Related Items (7)

On groups whose element orders divide 6 and 7 ⋮ Periodic groups with dense spectrum ⋮ Unnamed Item ⋮ On periodic groups isospectral to \(A_7\) ⋮ Recognizing \(A_7\) by its set of element orders ⋮ On periodic groups isospectral to \(A_7 \). II ⋮ \((2, 3)\)-generated groups with small element orders

Uses Software

• GAP

Cites Work

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• On periodic groups with an almost regular involution
• On a class of \(p\)-groups
• Unsolved Problems in Group Theory. The Kourovka Notebook
• On the p -Length of p -Soluble Groups and Reduction Theorems for Burnside's Problem
• Fixed Point Free Actions of Groups of Exponent 5
• On groups’ with small orders of elements

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