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Let $G=⟨x,y\mid[[x,y],x]=x^2,(xyx)^4,x^4,y^4,(yx)^3y=x⟩$ with $p=2$.

I hope to show me in details how to compute $G/P_1(G)$(A polycyclic presentation for $G/P_1(G)$), where $P_1(G)$ is the second element in the exponent-$p$ central series(In this case it is the Frattini subgroup of $G$) using abelianisation and row-echelonisation!

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    $\begingroup$ Simul-posted to MO, mathoverflow.net/questions/316317/…, with no notice to either site ––– an abuse of the system. $\endgroup$ – Gerry Myerson Nov 27 '18 at 11:30
  • $\begingroup$ Sorry, it didn´t appear like posted! $\endgroup$ – A.Messab Nov 27 '18 at 11:58
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    $\begingroup$ at this point it's easy for you to delete either the MathSE or MathOF question, up to your choice. $\endgroup$ – YCor Nov 27 '18 at 13:25
  • $\begingroup$ You should also include the more general tag group-theory, since otherwise many people (including myself) will not see it. (I only saw it because of the link from the MathOverflow post.) $\endgroup$ – Derek Holt Nov 27 '18 at 14:19

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