List questions from free-groups | MathQa

Kernel of map equal to commutator, free group on two generators.

Published on 30 Dec 2024 - 12:41

What is the motivation behind free groups?

Published on 31 Dec 2024 - 1:46

How do I prove that a group with one generator and a single relation is isomorphic to $\mathbb{Z_m}$?

Published on 20 Dec 2024 - 18:52

What equational properties of a group only need to be checked on a generating set?

Published on 31 Dec 2024 - 1:17

Existence of unique homomorphism between free groups

Published on 12 Jan 2025 - 9:01

There is a free group $F_2$ in $SO(3)$

Published on 28 Dec 2024 - 7:27

Condition under which one can extend a linearly independent set in a free $\mathbb{Z}$-module to a basis?

Published on 30 Dec 2024 - 14:47

The rationals as an additive group is free?

Published on 30 Dec 2024 - 15:45

Showing a free abelian group is generated by its basis

Published on 30 Dec 2024 - 6:38

The order deduced from relations in $D_n$

Published on 12 Jan 2025 - 23:47