Linear analogues of theorems of Schur, Baer and Hall

Document Type : Ischia Group Theory 2012


1 University of Alabama

2 National University of Dnepropetrovsk

3 University of Zaragoza


A celebrated result of I‎. ‎Schur asserts that the derived subgroup of a group is finite provided the group modulo its center is finite‎, ‎a result that has been the source of many investigations within the Theory of Groups‎. ‎In this paper we exhibit a similar result to Schur's Theorem for vector spaces‎, ‎acted upon by certain groups‎. ‎The proof of this analogous result depends on the characteristic of the underlying field‎. ‎We also give linear versions of corresponding theorems of R‎. ‎Baer and P‎. ‎Hall‎.


Main Subjects

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Volume 2, Issue 1 - Serial Number 1
Proceedings of the Ischia Group Theory 2012
March 2013
Pages 79-89
  • Receive Date: 16 October 2012
  • Revise Date: 14 January 2013
  • Accept Date: 14 January 2013
  • Published Online: 01 March 2013