Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9493193 | Journal of Algebra | 2005 | 23 Pages |
Abstract
It is shown that a soluble-by-finite subgroup G of a finite-dimensional division algebra D contains an abelian normal subgroup of index dividing 60deg(D)2. Moreover, the group of outer automorphisms of G induced by the elements of D is also soluble-by-finite. The question of whether a division algebra generated by a soluble-by-finite group is necessarily is a crossed product is also addressed.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
M. Shirvani,