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On the structure of some infinite dimensional linear groups |
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| Authors: | Martyn R Dixon Leonid A Kurdachenko Javier Otal |
| Institution: | 1. Department of Mathematics, University of Alabama, Tuscaloosa, Alabama, USAmdixon@ua.edu mdixon@as.ua.edu;3. Department of Algebra, Facultet ofMathematic and Mechanik, National University of Dnepropetrovsk, Dnepropetrovsk, Ukraine;4. Department of Mathematics-IUMA, University of Zaragoza, Zaragoza, Spain |
| Abstract: | If G is a group and if the upper hypercenter, Z, of G is such that G∕Z is finite then a recent theorem shows that G contains a finite normal subgroup L such that G∕L is hypercentral. The purpose of the current paper is to obtain a version of this result for subgroups G of GL(F,A), when A is an infinite dimensionalF-vector space. |
| Keywords: | Centre of a module over a group ring derived submodule of a module over a group ring linear group p-rank 0-rank Schur class section p-rank section 0-rank special rank |