Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4585003 | Journal of Algebra | 2013 | 15 Pages |
Abstract
A well-known result reported by Schur states that the derived subgroup of a group is finite provided its central factor is finite. Here we show that if the p-section rank of the central factor of a locally generalized radical group is bounded, then so is the p-section rank of its derived subgroup. We also give an explicit expression for this bound.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
A. Ballester-Bolinches, S. Camp-Mora, L.A. Kurdachenko, J. Otal,