List questions from free-product

Published on 15 Apr 2026 - 11:01

179

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Trying to understand the differences between $\mathbb{Z}_2 * \mathbb{Z}_2$ vs $\mathbb{Z}_2 \times \mathbb{Z}_2$

Published on 08 Apr 2026 - 19:43

178

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Injectivity of maps in a free product group with amalgamation

Published on 12 Apr 2026 - 13:16

245

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Understanding quotient group in free product (van Kampen theorem)

Published on 12 Apr 2026 - 14:04

32

Views

Summands of a free product with amalgamation

Published on 12 Apr 2026 - 12:07

257

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Can a free product of groups be co-Hopfian?

Published on 27 Apr 2026 - 22:11

160

Views

Finite index subgroup isomorphic to $\Bbb{Z}$ inside the free product $\Bbb{Z}_{2}*\Bbb{Z}_{2}$

Published on 15 Apr 2026 - 23:38

78

Views

Help with amalgated product (calculating $\pi_1(\mathbb{R}P^2)$)

Published on 12 Apr 2026 - 22:49

113

Views

Why is the random walk on the modular group transient?

Published on 26 Mar 2026 - 6:12

37

Views

Generalizing an argument of free products: If $f\circ\alpha, f\in \mathrm{Hom}(A,B)$ and $|\mathrm{Hom}(A,B)|=1$, do we know $\alpha = \mathrm{Id}?$

Published on 16 Apr 2026 - 11:04

180

Views

Is $G*G \cong G$ where $G$ is the fundamental group of the Hawaiian earring?

Published on 14 Apr 2026 - 16:17

79

Views

Classifying index 2 subgroups of $\langle a, b, c \mid ab = ba, c^2 = 1 \rangle$ up to isomorphism

Published on 18 Apr 2026 - 10:37

96

Views

Group Action and Free Product of Groups

Published on 13 Apr 2026 - 16:17

List Question

Ping-pong lemma assumptions

Trying to understand the differences between $\mathbb{Z}_2 * \mathbb{Z}_2$ vs $\mathbb{Z}_2 \times \mathbb{Z}_2$

Injectivity of maps in a free product group with amalgamation

Understanding quotient group in free product (van Kampen theorem)

Summands of a free product with amalgamation

Can a free product of groups be co-Hopfian?

Finite index subgroup isomorphic to $\Bbb{Z}$ inside the free product $\Bbb{Z}_{2}*\Bbb{Z}_{2}$

Help with amalgated product (calculating $\pi_1(\mathbb{R}P^2)$)

Why is the random walk on the modular group transient?

Generalizing an argument of free products: If $f\circ\alpha, f\in \mathrm{Hom}(A,B)$ and $|\mathrm{Hom}(A,B)|=1$, do we know $\alpha = \mathrm{Id}?$

Is $G*G \cong G$ where $G$ is the fundamental group of the Hawaiian earring?

Classifying index 2 subgroups of $\langle a, b, c \mid ab = ba, c^2 = 1 \rangle$ up to isomorphism

Group Action and Free Product of Groups

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