Question

Is it possible to produce with $3$ elements the group $G=F_2 \ast (\mathbb{Z} \times \mathbb Z)$?

score 74 · Answer 1 · 2024-02-24 23:29:16

74

Views

Is it possible to produce with $3$ elements the group $G=F_2 \ast (\mathbb{Z} \times \mathbb Z)$?

Published on 24 Feb 2024 - 23:29

score 66 · Answer 2 · 2024-02-25 09:31:03

66

Views

Blocks for Extending a Primitive System in a Free Group

Published on 25 Feb 2024 - 9:31

score 39 · Answer 3 · 2024-03-03 05:13:07

39

Views

Bipartite intersection graph

Published on 03 Mar 2024 - 5:13

score 32 · Answer 4 · 2026-02-23 03:30:30

32

Views

Are right-adjoints of a forgetful functor reflectors?

Published on 23 Feb 2026 - 3:30

score 71 · Answer 5 · 2024-03-12 19:35:54

71

Views

When does the closure of a free subgroup of $\mathsf{SL}(2;\mathbb{C})$ equal $\mathsf{SL}(2;\mathbb{C})$

Published on 12 Mar 2024 - 19:35

score 50 · Answer 6 · 2024-03-12 21:48:00

50

Views

Does every finitely generated dense subgroup of $ SU(n) $ contain a free subgroup?

Published on 12 Mar 2024 - 21:48

score 59 · Answer 7 · 2026-03-26 16:05:06

59

Views

Banach-Tarski Paradox: Extension with cycles

Published on 26 Mar 2026 - 16:05

score 80 · Answer 8 · 2024-03-14 16:14:23

80

Views

Proof of the universal property of free abelian groups

Published on 14 Mar 2024 - 16:14

score 80 · Answer 9 · 2024-03-14 20:13:27

80

Views

Lee Mosher book definition of a tree.

Published on 14 Mar 2024 - 20:13

score 127 · Answer 10 · 2024-03-16 17:41:06

127

Views

Free object is a free group in the category of groups

Published on 16 Mar 2024 - 17:41

score 22 · Answer 11 · 2024-03-17 13:29:17

22

Views

extension condition for free abelian groups

Published on 17 Mar 2024 - 13:29

score 57 · Answer 12 · 2024-03-27 05:17:59

If there is a bijection from a subset $S$ of a group $G$ onto $X$ then $F(X)$ isomorphic to $\langle S \rangle$, Where $F(X)$ free group on X

score 1.1k · Answer 13 · 2024-03-27 20:14:15

1.1k

Views

Is this a valid "easy" proof that two free groups are isomorphic if and only if their rank is the same?

Published on 27 Mar 2024 - 20:14

score 133 · Answer 14 · 2015-01-05 23:11:39

133

Views

Proving the 'letters' of a free group generate the group

Published on 05 Jan 2015 - 23:11

score 71 · Answer 15 · 2015-01-09 16:35:29

71

Views

Two homomorphisms on the reduced free group

Published on 09 Jan 2015 - 16:35

List Question

Is it possible to produce with $3$ elements the group $G=F_2 \ast (\mathbb{Z} \times \mathbb Z)$?

Blocks for Extending a Primitive System in a Free Group

Bipartite intersection graph

Are right-adjoints of a forgetful functor reflectors?

When does the closure of a free subgroup of $\mathsf{SL}(2;\mathbb{C})$ equal $\mathsf{SL}(2;\mathbb{C})$

Does every finitely generated dense subgroup of $ SU(n) $ contain a free subgroup?

Banach-Tarski Paradox: Extension with cycles

Proof of the universal property of free abelian groups

Lee Mosher book definition of a tree.

Free object is a free group in the category of groups

extension condition for free abelian groups

If there is a bijection from a subset $S$ of a group $G$ onto $X$ then $F(X)$ isomorphic to $\langle S \rangle$, Where $F(X)$ free group on X

Is this a valid "easy" proof that two free groups are isomorphic if and only if their rank is the same?

Proving the 'letters' of a free group generate the group

Two homomorphisms on the reduced free group

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