List questions from free-groups

Published on 29 Mar 2026 - 21:02

87

Views

Remark after proof of existence of free groups (page-21,Clara loeh)

Published on 29 Mar 2026 - 17:27

137

Views

The free generating sets of two isomorphic free groups must have the same cardinality

Published on 22 Apr 2022 - 14:57

185

Views

Existence of automorphism taking a word to its inverse

Published on 03 May 2022 - 11:22

167

Views

Set of homomorphisms on a free abelian group is a free abelian group.

Published on 27 Mar 2026 - 5:03

89

Views

If $K(G,1)$ and $K(H,1)$ are Eilenberg-MacLane spaces, show that $K(G\ast H,1)$ is also one.

Published on 26 Mar 2026 - 14:23

70

Views

Proving free group $F_2$ is not isomorphic to $F_3$

Published on 13 Jun 2022 - 14:49

142

Views

Unitary representations of free groups

Published on 04 Jun 2022 - 7:37

48

Views

If $H , K \trianglelefteq F_2$ with $F_2/H\cong F_2/K$ then $H=K$

Published on 29 Mar 2026 - 14:03

143

Views

The endomorphism structure on a free group thinks it's a "ring" without abelian $+$, but there's no way it could be a ring.

Published on 02 Jul 2022 - 4:27

426

Views

Hatcher $1.2.1$

Published on 14 Jul 2022 - 9:17

384

Views

Normal subgroup generated by one element

Published on 28 Mar 2026 - 2:09

73

Views

Orthogonal matrices with rational coefficients generating free subgroup

Published on 19 Jul 2022 - 6:10

131

Views

Morphism of free groups that induces isomorphism on abelianizations

Published on 20 Jul 2022 - 8:55

165

Views

Finite extensions of finitely generated free groups.

Published on 08 Aug 2022 - 21:38

List Question

Details in existence of free groups proof (Clara Loeh,pg-22,23)

Remark after proof of existence of free groups (page-21,Clara loeh)

The free generating sets of two isomorphic free groups must have the same cardinality

Existence of automorphism taking a word to its inverse

Set of homomorphisms on a free abelian group is a free abelian group.

If $K(G,1)$ and $K(H,1)$ are Eilenberg-MacLane spaces, show that $K(G\ast H,1)$ is also one.

Proving free group $F_2$ is not isomorphic to $F_3$

Unitary representations of free groups

If $H , K \trianglelefteq F_2$ with $F_2/H\cong F_2/K$ then $H=K$

The endomorphism structure on a free group thinks it's a "ring" without abelian $+$, but there's no way it could be a ring.

Hatcher $1.2.1$

Normal subgroup generated by one element

Orthogonal matrices with rational coefficients generating free subgroup

Morphism of free groups that induces isomorphism on abelianizations

Finite extensions of finitely generated free groups.

Trending Questions

Popular # Hahtags

Popular Questions