Maximal subgroups of S Ln(D)

JOURNAL OF ALGEBRA

卷:531

Article

Fallah-Moghaddam, R.¹ 

[1] Univ Garmsar, Dept Basic Sci, Garmsar, Iran

关键词: Division ring;    Maximal subgroup;    Free subgroup;    Subnormal subgroup;    Soluble group;   

DOI  :  10.1016/j.jalgebra.2019.05.003

来源: Elsevier

【 摘 要 】

Given a non-commutative F-central division ring D, N a subnormal subgroup of G L-n(D) and M a non-abelian maximal subgroup of N, if M is a non-abelian soluble maximal subgroup of N, then, n = 1 and D is cyclic of prime degree p with a maximal cyclic subfield K / F such that the groups Gal(K / F) and M / (K* boolean AND M) are isomorphic. Furthermore, for any x is an element of M \ K*, we have x(p) is an element of F* and D = F[M] = circle plus(p)(i=1) K-x(i). (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free