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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

A note on free products of linear groups


Author: Zbigniew S. Marciniak
Journal: Proc. Amer. Math. Soc. 94 (1985), 46-48
MSC: Primary 20G15; Secondary 20E06
DOI: https://doi.org/10.1090/S0002-9939-1985-0781053-X
MathSciNet review: 781053
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Abstract: For a field $K$, let $\bar K$ denote its algebraic closure. Assume that $\left | {\bar K:K} \right | = \infty$. Then for any linear groups $G,{\text { }}H \subseteq {\text {G}}{{\text {L}}_n}(K)$ their free product $G * H$ can be embedded into ${\text {G}}{{\text {L}}_N}(K(t))$. Here $N$ is an integer depending on $K$ only and $t$ stands for an indeterminate.


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Article copyright: © Copyright 1985 American Mathematical Society