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Results tagged with combinatorial-group-theory
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user 4760
13
votes
2
answers
987
views
Kernel of linear representation of Baumslag-Solitar group
Let $BS(m,n)$ be the Baumslag-Solitar group defined by $B(m,n) = < a,b ~|~ b a^m b^{-1} = a^n > $, $mn \neq 0$. There is a linear representation of $BS(m,n)$ by mapping $a$ to the matrix $\left(\begi …
- 1,598
5
votes
0
answers
280
views
Any method to detect subgroup generated by a subset of the generators from its presentation
I have met the following problem. A group $G$ is given as follows
$G = \langle x,y,t| y^{-2}xy^2 = x,t^{-1}yt =y^2 ,t^{-1}xt = xy^{-1}xy\rangle$
Is the subgroup generated by $y$ and $t$ just the gro …
- 1,598