List questions from group-presentation | MathQA

$\langle a,b\mid ab=1\rangle\cong \mathbb{Z}$

Published on 30 Dec 2022 - 17:59

Are there nonabelian groups $G$ s.t. $G=\langle a_1,\dots,a_{n-1}\mid a_i^2=\epsilon,\epsilon^2=1,a_ia_j=\epsilon a_ja_i \textrm{ for }i\ne j\rangle.$

Published on 01 Jan 2023 - 23:49

In the group $G=\langle r,s,t\mid r^2=s^3=t^3=rst\rangle,$ the element $rst$ has order $2$

Published on 28 Mar 2026 - 3:33

How can one figure out if equations in presentation of a group are independent or not?

Published on 16 Jan 2023 - 16:44

Why are groups of type $F_2$ finitely presented?

Published on 29 Mar 2026 - 14:02

Show a representation is faithful

Published on 28 Jan 2023 - 23:43