On periodic groups with prescribed orders of elements.

DOI10.1007/s11425-008-0161-5zbMath1203.20037OpenAlexW1996759969MaRDI QIDQ1042870

Wujie Shi, Victor D. Mazurov

Publication date: 7 December 2009

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-008-0161-5

zbMATH Keywords

periodic groupslocally finite groupsspectralocal finitenesssets of element ordersorders of elements

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Periodic groups; locally finite groups (20F50) Generators, relations, and presentations of groups (20F05) Finite simple groups and their classification (20D05) Simple groups: alternating groups and groups of Lie type (20D06) Local properties of groups (20E25)

Related Items (1)

Finite groups isospectral to simple groups

Uses Software

• GAP

Cites Work

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• THE FREE BURNSIDE GROUPS OF SUFFICIENTLY LARGE EXPONENTS
• Infinite Burnside groups of even exponent
• Fixed Point Free Actions of Groups of Exponent 5
• On groups’ with small orders of elements
• Groups Whose Elements Have Bounded Orders

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