(FUNDAMENTAL AND APPLIED MATHEMATICS)

1998, VOLUME 4, NUMBER 4, PAGES 1415-1418

## A linear representability of group $G$n,k,l= ⟨ a,t; an=1, t-1akt=al ⟩

R. T. Volvachev

Abstract

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 It is shown that the group $G_{n,k,l} =\langle a,t;\ a^n =1,\ t^{-1} a^k t= a^l \rangle$, where $n\neq 0, k,l$ are integers, has faithful linear representation over a field of characteristic $0$. An algoritm for explicit constructing of faithful linear representations of such groups is obtained. 

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