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15
Math.TechQA.Club
2026-03-25 20:17:12
102
Views
Free groups. Help me to understand this theorem.
Published on
25 Mar 2026 - 20:17
#abstract-algebra
#group-theory
#solution-verification
#free-groups
#combinatorial-group-theory
402
Views
free group quotient by its commutator is a free abelian group via universal property
Published on
26 Mar 2026 - 1:16
#group-theory
#free-groups
#universal-property
94
Views
Is there an algorithm that, given a finite presentation of a free group, outputs a free basis for the group?
Published on
26 Mar 2026 - 6:30
#group-theory
#algorithms
#computability
#free-groups
#group-presentation
50
Views
Subgroup generated by commensuration class of an element of a virtually free group
Published on
26 Mar 2026 - 1:10
#abstract-algebra
#group-theory
#free-groups
#finitely-generated
#infinite-groups
102
Views
The counit of an adjunction of the adjoint pair free and underlying functor
Published on
26 Mar 2026 - 6:34
#abstract-algebra
#category-theory
#abelian-groups
#free-groups
#free-abelian-group
108
Views
What are some examples of groups each isomorphic to a subgroup of each other, although not themselves isomorphic?
Published on
26 Mar 2020 - 23:36
#group-theory
#examples-counterexamples
#group-isomorphism
#free-groups
69
Views
Are all faithful actions of finite rank free groups ping-pong actions?
Published on
29 Mar 2020 - 8:38
#abstract-algebra
#group-theory
#group-actions
#free-groups
#finitely-generated
75
Views
Free group generated by group
Published on
04 Apr 2020 - 12:22
#group-theory
#free-groups
55
Views
Free topological groups and quotients
Published on
26 Mar 2026 - 1:07
#abstract-algebra
#general-topology
#topological-groups
#free-groups
#locally-compact-groups
196
Views
When is a quotient group of a free group finite?
Published on
25 Mar 2026 - 21:49
#group-theory
#cyclic-groups
#normal-subgroups
#free-groups
#combinatorial-group-theory
43
Views
An isomorphism onto the additive group $\mathbb{Z}\times\mathbb{Z}$
Published on
10 Apr 2020 - 17:57
#group-theory
#group-homomorphism
#free-groups
#direct-product
127
Views
Showing $\mathbb{Z}\times\mathbb{Z}$ is isomorphic to the group $\langle x,y,|xy=yx\rangle$
Published on
25 Mar 2026 - 23:10
#abstract-algebra
#group-theory
#free-groups
#group-presentation
#combinatorial-group-theory
187
Views
Free group over a set of two elements is abelian
Published on
11 Apr 2020 - 21:10
#abstract-algebra
#group-theory
#solution-verification
#abelian-groups
#free-groups
21
Views
Proving that the elements of a free group satisfy a certain property
Published on
12 Apr 2020 - 1:13
#abstract-algebra
#group-theory
#free-groups
484
Views
Infinite Wedge Sum
Published on
13 Apr 2020 - 8:55
#general-topology
#algebraic-topology
#fundamental-groups
#free-groups
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