Prosolvability criteria and properties of the prosolvable radical via Sylow sequences.

DOI10.1515/jgth-2016-0507zbMath1348.20032OpenAlexW2315249418MaRDI QIDQ285585

Dan Levy, Wolfgang N. Herfort

Publication date: 19 May 2016

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jgth-2016-0507

zbMATH Keywords

prosolvable groupsprofinite groupsproducts of Sylow subgroupssolvability criteriaSylow productsThompson triples

Mathematics Subject Classification ID

Sylow subgroups, Sylow properties, (pi)-groups, (pi)-structure (20D20) Subgroup theorems; subgroup growth (20E07) Generalizations of solvable and nilpotent groups (20F19) Limits, profinite groups (20E18)

Related Items (1)

Sylow multiplicities in finite groups

Cites Work

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• Products of Sylow groups
• Sylow products and the solvable radical.
• The solvable radical of Sylow factorizable groups.
• Field Arithmetic
• Sylow Products and the Solvable Residual
• MULTIPLICITIES IN SYLOW SEQUENCES AND THE SOLVABLE RADICAL
• On a Graph Related to Conjugacy Classes of Groups
• The Average Sylow Multiplicity Character and Solvability of Finite Groups
• Nonsolvable finite groups all of whose local subgroups are solvable
• A Characteristic Property of Soluble Groups
• Profinite Groups

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