Article
Licensed
Unlicensed
Requires Authentication
The quasi-variety of groups with trivial fourth dimension subgroup
-
Roman Mikhailov
and
Inder Bir S Passi
Published/Copyright:
May 17, 2006
Abstract
We prove that the quasi-variety consisting of the groups with trivial fourth dimension subgroup is not finitely based. This answers a problem of B. I. Plotkin.
Received: 2004-06-03
Revised: 2005-06-30
Published Online: 2006-05-17
Published in Print: 2006-05-01
© Walter de Gruyter
You are currently not able to access this content.
You are currently not able to access this content.
Articles in the same Issue
- Representation type of Schur superalgebras
- The direct extension theorem
- The direct product theorem for profinite groups
- Normally embedded subgroups in direct products
- Around unipotence in groups of finite Morley rank
- Carter subgroups in tame groups of finite Morley rank
- The quasi-variety of groups with trivial fourth dimension subgroup
- Embedding groups in locally (soluble-by-finite) simple groups
- Subsemigroups of groups: presentations, Malcev presentations, and automatic structures
Articles in the same Issue
- Representation type of Schur superalgebras
- The direct extension theorem
- The direct product theorem for profinite groups
- Normally embedded subgroups in direct products
- Around unipotence in groups of finite Morley rank
- Carter subgroups in tame groups of finite Morley rank
- The quasi-variety of groups with trivial fourth dimension subgroup
- Embedding groups in locally (soluble-by-finite) simple groups
- Subsemigroups of groups: presentations, Malcev presentations, and automatic structures
