A characterization of periodic locally solvable groups whose Sylow subgroups are solvable or have finite exponent

DOI10.1007/BF01062889zbMath0667.20032OpenAlexW2042612128MaRDI QIDQ1117326

N. S. Chernikov, Anatoliy P. Petravchuk

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1007/bf01062889

zbMATH Keywords

Sylow p-subgroupsperiodic locally solvable groupsSylow \(\pi \) - subgroups\(\pi \) -solvable groupslocally nilpotent \(\pi \) -groupslocally solvable groupsseries of characteristic subgroups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Periodic groups; locally finite groups (20F50) Generalizations of solvable and nilpotent groups (20F19) Chains and lattices of subgroups, subnormal subgroups (20E15) Local properties of groups (20E25)

Cites Work

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• Connection between the 2-length and the derived length of a Sylow 2-subgroup of a finite solvable group
• On the p -Length of p -Soluble Groups and Reduction Theorems for Burnside's Problem

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