Groups of exponent 12 without elements of order 12.

DOI10.1134/S003744661301014XzbMath1273.20032MaRDI QIDQ359339

Andrey Mamontov

Publication date: 12 August 2013

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

zbMATH Keywords

periodic groupslocally finite groupsspectraelement orders

Mathematics Subject Classification ID

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

Related Items (11)

On groups whose element orders divide 6 and 7 ⋮ Periodic groups with dense spectrum ⋮ Bernoulli shifts with bases of equal entropy are isomorphic ⋮ 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 ⋮ On groups of period 12. ⋮ Recognizing M₁₀ by spectrum in the class of all groups ⋮ Groups whose element orders do not exceed 6. ⋮ The Baer-Suzuki theorem for groups of 2-exponent 4.

Uses Software

• GAP
• Magma

Cites Work

• Involutions in groups of exponent 12.
• Solution of the Burnside problem for exponent six
• Groups with exponent six
• Infinite Burnside groups of even exponent
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