On periodic groups isospectral to \(A_7\)

DOI10.1134/S0037446620010097zbMath1460.20007arXiv1810.13167OpenAlexW3007291286MaRDI QIDQ2191344

Andrey Mamontov

Publication date: 24 June 2020

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

Full work available at URL: https://arxiv.org/abs/1810.13167

zbMATH Keywords

spectrumperiodic groupsalternating groupisospectral groupsBurnside problemcharacterization by the spectrumrecognition by the spectrum

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) Simple groups: alternating groups and groups of Lie type (20D06) Local properties of groups (20E25)

Related Items (3)

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

• Unnamed Item
• Groups of exponent 12 without elements of order 12.
• On finite groups isospectral to simple classical groups.
• Finite groups whose element orders are consecutive integers
• On periodic groups with an almost regular involution
• Groups whose element orders do not exceed 6.
• The Baer-Suzuki theorem for groups of 2-exponent 4.

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