Some countably recognizable classes of groups

DOI10.1515/JGT.2007.048zbMath1129.20018OpenAlexW1989755677MaRDI QIDQ5309026

Howard Smith, Martyn R. Dixon, Martin J. Evans

Publication date: 9 October 2007

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

Full work available at URL: https://doi.org/10.1515/jgt.2007.048

zbMATH Keywords

derived lengthsclasses of groupscountable subgroupslocal classesranks of groupsnilpotent-by-(finite rank) groupssoluble-by-(finite rank) groups

Mathematics Subject Classification ID

Generalizations of solvable and nilpotent groups (20F19) Quasivarieties and varieties of groups (20E10)

Related Items (8)

The class of minimax groups is countably recognizable ⋮ Countable recognizability and nilpotency properties of groups ⋮ Groups that involve finitely many primes and have all subgroups subnormal. ⋮ Large soluble groups and the control of embedding properties. ⋮ Countably recognizable classes of groups with restricted conjugacy classes ⋮ More countably recognizable classes of groups. ⋮ Paranilpotency in uncountable groups ⋮ GROUPS WITH MANY PRONORMAL SUBGROUPS

Cites Work

• Abzählbar erkennbare gruppentheoretische Eigenschaften
• Infinite alternating groups as finitary linear transformation groups
• Locally (soluble-by-finite) groups of finite rank
• Groups with all proper subgroups soluble-by-finite rank.
• Countably recognizable classes of groups
• GROUPS WITH ALL PROPER SUBGROUPS (FINITE RANK)-BY-NILPOTENT. II
• On the Countable Recognition of Finitary Groups
• Countable recognizability of primitive periodic finitary linear groups

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