The Baer-Suzuki theorem for groups of 2-exponent 4.

DOI10.1007/s10469-014-9302-9zbMath1315.20039OpenAlexW2062776335MaRDI QIDQ2342332

Andrey Mamontov

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/s10469-014-9302-9

zbMATH Keywords

periodic groupsgroups of finite exponentsets of element ordersBaer-Suzuki theorembinary finite groups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Periodic groups; locally finite groups (20F50) Generators, relations, and presentations of groups (20F05)

Related Items (5)

On the sharp Baer-Suzuki theorem for the \(\pi \)-radical: sporadic groups ⋮ Periodic groups with dense spectrum ⋮ On periodic groups isospectral to \(A_7\) ⋮ Recognizing \(A_7\) by its set of element orders ⋮ On periodic groups isospectral to \(A_7 \). II

Uses Software

• GAP

Cites Work

• Unnamed Item
• Groups of exponent 12 without elements of order 12.
• Engelsche Elemente Noetherscher Gruppen
• On a generalization of the Baer-Suzuki theorem
• On local finiteness of some groups of period 12
• Finite groups in which the centralizer of any element of order 2 is 2- closed
• Unsolved Problems in Group Theory. The Kourovka Notebook
• On conjugacy classes of p-elements

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