List questions from free-product

Published on 19 Mar 2026 - 21:21

99

Views

Is the map $G*H \to G \times H$ injective?

Published on 23 Mar 2026 - 3:33

117

Views

Is free product of groups always bigger that direct product?

Published on 23 Mar 2026 - 0:11

359

Views

Uniqueness of free product

Published on 22 Mar 2026 - 21:39

58

Views

Let $Y:=\mathbb{R}^2-\{(0,1),(1,0),(-1,0)\}$. Calculate $\pi_1(Y,y_0)$, where $y_0=(0,0)$.

Published on 22 Mar 2026 - 18:25

150

Views

Is the intersection of two subgroups, defined below, always trivial?

Published on 22 Mar 2026 - 13:46

1.1k

Views

Presentations of Amalgamated Free Products of Two Groups.

Published on 22 Mar 2026 - 22:06

1.6k

Views

Find a space whose fundamental group is $\mathbb Z/2 × \mathbb Z$

Published on 22 Mar 2026 - 18:21

231

Views

Finite index subgroups in Amalgamated Free products

Published on 22 Mar 2026 - 23:37

198

Views

Semidirect factors of free product of two groups

Published on 23 Mar 2026 - 0:23

61

Views

proof verification of an elementary result about a subgroup of a free group using a technical method

Published on 22 Mar 2026 - 19:56

254

Views

If $N$ is the normal subgroup of $A\ast B$ generated by $A$, then $(A\ast B)/N\cong B$

Published on 25 Mar 2026 - 9:28

165

Views

What do the solvable groups in a free product of cyclic groups look like?

Published on 25 Mar 2026 - 10:28

144

Views

In the construction of the free product of C*-algebras, is the seminorm from which we quotient actually a norm?

Published on 25 Mar 2026 - 9:29

62

Views

Given homomorphisms $\phi : G \rightarrow H$ and $\psi : G \rightarrow F$, if $\phi$ is an isomorphism, is it true that $F \simeq H \ast_G F$?

Published on 25 Mar 2026 - 12:05

List Question

Proof check, existence of free product

Is the map $G*H \to G \times H$ injective?

Is free product of groups always bigger that direct product?

Uniqueness of free product

Let $Y:=\mathbb{R}^2-\{(0,1),(1,0),(-1,0)\}$. Calculate $\pi_1(Y,y_0)$, where $y_0=(0,0)$.

Is the intersection of two subgroups, defined below, always trivial?

Presentations of Amalgamated Free Products of Two Groups.

Find a space whose fundamental group is $\mathbb Z/2 × \mathbb Z$

Finite index subgroups in Amalgamated Free products

Semidirect factors of free product of two groups

proof verification of an elementary result about a subgroup of a free group using a technical method

If $N$ is the normal subgroup of $A\ast B$ generated by $A$, then $(A\ast B)/N\cong B$

What do the solvable groups in a free product of cyclic groups look like?

In the construction of the free product of C*-algebras, is the seminorm from which we quotient actually a norm?

Given homomorphisms $\phi : G \rightarrow H$ and $\psi : G \rightarrow F$, if $\phi$ is an isomorphism, is it true that $F \simeq H \ast_G F$?

Trending Questions

Popular # Hahtags

Popular Questions