Loading...

Tits alternative for maximal subgroups of GLn (D)

Mahdavi Hezavehi, M ; Sharif University of Technology | 2004

113 Viewed
  1. Type of Document: Article
  2. DOI: 10.1016/j.jalgebra.2003.09.028
  3. Publisher: Academic Press Inc , 2004
  4. Abstract:
  5. Let D be a noncommutative division algebra of finite dimension over its centre F. Given a maximal subgroup M of GLn (D) with n ≥ 1, it is proved that either M contains a noncyclic free subgroup or there exists a finite family {Ki}1r of fields properly containing F with Ki* ⊂ M for all 1 ≤ i ≤ r such that M/A is finite if Char F = 0 and M/A is locally finite if Char F = p > 0, where A = K1* x ⋯ x Kr*. © 2004 Elsevier Inc. All rights reserved
  6. Keywords:
  7. Division ring ; Free subgroup ; Maximal subgroup
  8. Source: Journal of Algebra ; Volume 271, Issue 2 , 2004 , Pages 518-528 ; 00218693 (ISSN)
  9. URL: https://www.sciencedirect.com/science/article/pii/S0021869303006926