Author/Authors :
ر. ديكسون، مارتين نويسنده Department of Mathematics, University of Alabama, Tuscaloosa, AL 35487-0350, U.S.A R. Dixon, Martyn , آ. خورداچنكو ، ليونيد نويسنده Department of Algebra Facultet of mathematic and mechanik National University of Dnepropetrovsk Gagarin prospect 72 Dnepropetrovsk 10 49010 Ukraine A. Kurdachenko, Leonid , اوتال ، خاوير نويسنده Department of Mathematics-IUMA, University of Zaragoza, Pedro Cerbuna 12.50009 Zaragoza, Spain Otal, Javier
Abstract :
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 Schurʹs 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.
