We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
Subgroups of SL<sub>n</sub> over a semilocal ring.
- Authors
Vavilov, N.
- Abstract
In the present paper, it is proved that if R is a commutative semilocal ring all the residue fields of which contain at least 3n + 2 elements, then for every subgroup H of the special linear group SL(n, R), n ≥ 3, containing the diagonal subgroup SD(n, R) there exists a unique D-net σ of ideals of R such that Γ(σ)≤H≤NΓ(σ). In works by Z. I. Borewicz and the author, similar results were established for GL n over semilocal rings and for SL n over fields. Later I. Hamdan obtained a similar description for the very special case of uniserial rings. Bibliography: 76 titles.
- Subjects
SEMILOCAL rings; RING theory; COMMUTATIVE rings; CALCULUS of residues; LINEAR algebra
- Publication
Journal of Mathematical Sciences, 2007, Vol 147, Issue 5, p6995
- ISSN
1072-3374
- Publication type
Article
- DOI
10.1007/s10958-007-0525-3