A tits alternative for groups that are residually of bounded rank |
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| Authors: | Martyn R. Dixon Martin J. Evans Howard Smith |
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| Affiliation: | (1) Department of Mathematics, University of Alabama, 35487-0350 Tuscaloosa, AL, USA;(2) Department of Mathematics, Bucknell University, 17837 Lewisburg, PA, USA |
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| Abstract: | In this short note a Tits alternative for certain kinds of groups which are residually of rank at mostr is obtained. The main theorem states that ifG is a group that is residually (locally (soluble-by-finite) of rankr), then eitherG is locally (soluble-by-finite) orG contains a non-abelian free subgroup. The third author would like to thank the School of Mathematics at the University of Wales, Cardiff for its hospitality whild part of this work was being done. |
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