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- Title
Linear groups with minimality condition for some infinite-dimensional subgroups.
- Authors
Dixon, M.; Kurdachenko, L.; Evans, M.
- Abstract
Let F be a field, let A be a vector space over F, and let GL( F, A) be the group of all automorphisms of the space A. If H is a subgroup of GL( F, A), then we set aug dimF ( H) = dimF ( A(ω FH)), where ω FH is the augmentation ideal of the group ring FH. The number aug dimF ( H) is called the augmentation dimension of the subgroup H. In the present paper, we study locally solvable linear groups with minimality condition for subgroups of infinite augmentation dimension.
- Subjects
VECTOR spaces; AUTOMORPHISMS; GROUP rings; INFINITE groups; MATHEMATICS
- Publication
Ukrainian Mathematical Journal, 2005, Vol 57, Issue 11, p1726
- ISSN
0041-5995
- Publication type
Article
- DOI
10.1007/s11253-006-0026-4