FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(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^-1a^kt=a^l ⟩

R. T. Volvachev

Abstract

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It is shown that the group $G$_n,k,l= ⟨ a,t; aⁿ=1, t^-1a^kt=a^l ⟩, where $\$\; n\backslash neq\; 0,\; k,l\; \$$ 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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