List questions from free-groups

Published on 12 Apr 2026 - 5:42

224

Views

Proving that the free abelian group $G$ for the set $\mathbb{N}$ is isomorphic to its product with itself $G \times G$

Published on 16 Apr 2026 - 12:25

251

Views

What's the free product of $\Bbb Z/3\Bbb Z *\Bbb Z/3\Bbb Z $?

Published on 10 May 2026 - 15:47

320

Views

Is the free group on two generators generated by two elements as a monoid?

Published on 09 Apr 2026 - 9:59

119

Views

Why only define word only with finite product of elements?

Published on 14 Apr 2026 - 3:23

610

Views

Free Groups and Actions on Trees

Published on 14 Apr 2026 - 17:27

99

Views

Let $F$ be a free group, $H \leq F$ and $[F:H]=n \in \mathbb{N}$. Show that whenever $K \leq F$ then we have $K \cap H \neq 1$

Published on 15 Apr 2026 - 23:46

175

Views

Free nilpotent group on 2 generators of class 2.

Published on 11 Apr 2026 - 17:15

135

Views

Elaboration of the proof that "a group is free iff it is isomorphic to $F[\mathscr{A}]$ for some $\mathscr{A}$".

Published on 17 Apr 2026 - 10:20

130

Views

Prove free groups $\left<a,b \mid ababa = babab\right> \simeq \left<x,\mid x^2 = y^5\right>$.

Published on 17 Apr 2026 - 7:40

402

Views

Program to find intersection of subgroups of free groups

Published on 10 May 2026 - 15:51

99

Views

How do you minimize a homomorphism of a subset of a group ring?

Published on 25 Mar 2026 - 9:28

103

Views

Automorphisms of a free group on $S$ is essentially a bijection of $S$ extended homomorphically?

Published on 17 Apr 2026 - 14:22

531

Views

Formation of the free group on $S$ is a functor

Published on 13 Apr 2026 - 0:39

118

Views

Are free groups residually simple?

Published on 10 May 2026 - 17:34

List Question

Free Groups are ICC Groups

Proving that the free abelian group $G$ for the set $\mathbb{N}$ is isomorphic to its product with itself $G \times G$

What's the free product of $\Bbb Z/3\Bbb Z *\Bbb Z/3\Bbb Z $?

Is the free group on two generators generated by two elements as a monoid?

Why only define word only with finite product of elements?

Free Groups and Actions on Trees

Let $F$ be a free group, $H \leq F$ and $[F:H]=n \in \mathbb{N}$. Show that whenever $K \leq F$ then we have $K \cap H \neq 1$

Free nilpotent group on 2 generators of class 2.

Elaboration of the proof that "a group is free iff it is isomorphic to $F[\mathscr{A}]$ for some $\mathscr{A}$".

Prove free groups $\left<a,b \mid ababa = babab\right> \simeq \left<x,\mid x^2 = y^5\right>$.

Program to find intersection of subgroups of free groups

How do you minimize a homomorphism of a subset of a group ring?

Automorphisms of a free group on $S$ is essentially a bijection of $S$ extended homomorphically?

Formation of the free group on $S$ is a functor

Are free groups residually simple?

Trending Questions

Popular # Hahtags

Popular Questions