Linear analogues of theorems of Schur, Baer and Hall

Autor:	Javier Javier, Leonid Kurdachenko, Martyn Dixon
Jazyk:	angličtina
Rok vydání:	2013
Předmět:	derived submodule of a module over a group ring section $p$--rank section $0$--rank linear group Mathematics QA1-939
Zdroj:	International Journal of Group Theory, Vol 2, Iss 1, Pp 79-89 (2013)
Druh dokumentu:	article
ISSN:	2251-7650 2251-7669
Popis:	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.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/863e9e50d2034c66a3981268e15d0061 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF