Recognizing \(A_7\) by its set of element orders

DOI10.1134/S0037446621010109zbMath1498.20094arXiv2008.06307OpenAlexW3127710077MaRDI QIDQ2221966

Enrico Jabara, Andrey Mamontov

Publication date: 3 February 2021

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

Full work available at URL: https://arxiv.org/abs/2008.06307

zbMATH Keywords

spectrumperiodic grouplocally finite group

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50)

Related Items (2)

Periodic groups with dense spectrum ⋮ \((2, 3)\)-generated groups with small element orders

Uses Software

• GAP

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Groups of exponent 12 without elements of order 12.
• On the structure of finite groups isospectral to finite simple groups.
• Infinite groups of finite period.
• Recognizing \(L_3(4)\) by the set of element orders in the class of all groups.
• The 2-length and 2-period of a finite solvable group
• Finite groups whose element orders are consecutive integers
• On recognizing the finite simple groups \(L_2(2^m)\) in the class of all groups
• On periodic groups isospectral to \(A_7\)
• On periodic groups isospectral to \(A_7 \). II
• 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.
• Recognizability by spectrum of the group \(L_2(7)\) in the class of all groups.
• Recognizing M₁₀ by spectrum in the class of all groups
• A Property of Locally Finite Groups

This page was built for publication: Recognizing \(A_7\) by its set of element orders