Abstract
The purpose of this note is to improve results of J. S. Wilson[12] and L. N. Vaserstein [10] concerning the subnormal structure of the general linear group G = GL (n, R) of degree n ≽ 3 over a commutative ring R. To do this we sharpen results of J. S. Wilson[12], A. Bak[1] and L. N. Vaserstein[10] on subgroups normalized by a relative elementary subgroup. It should be said also that (especially for the case n = 3) our proof is very much simpler than that of[12, 10]. To formulate our results let us recall some notation.
Publisher
Cambridge University Press (CUP)
Reference13 articles.
1. The Schur multiplier of the group of elementary matrices of finite order;Tulenbaev;Zap. Nauchn. Sem. Leningrad: Otdel. Mat. Inst. Steklov (LOMI),1979
2. The normal and subnormal structure of general linear groups
3. On normal subgroups of Chevalley groups over commutative rings
4. On the general linear group over an associative ring;Golubchik;Uspekhi Mat. Nauk,1973
Cited by
22 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献