8:15 PM
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Let $G=\langle x,y\mid x^3=e, y^2=e\rangle$ and otherwise unrestricted. Let $H=\langle xyxy\rangle$. Is $H\triangleleft G$? And in that case, what is $$G/H$$ isomorphic to? If it is a normal subgroup, I'd suspect $G/H\cong D_3$, but is that really true?
8:53 PM
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Transcript for
Dec17
Dec '1818
Dec19
Group Theory
Let's discuss group theory!
abelian-groups characteristic-subgroups cyclic-groups finite-groups group-presentation group-theory lie-groups nilpotent-groups normal-subgroups solvable-groups sylow-theory