Some countably recognizable classes of groups
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Publication:5309026
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
derived lengthsclasses of groupscountable subgroupslocal classesranks of groupsnilpotent-by-(finite rank) groupssoluble-by-(finite rank) groups
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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