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15
Math.TechQA.Club
2026-03-28 10:41:44
3.4k
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free groups: $F_X\cong F_Y\Rightarrow|X|=|Y|$
Published on
28 Mar 2026 - 10:41
#abstract-algebra
#group-theory
#group-isomorphism
#free-groups
#group-presentation
890
Views
Free groups and commutators
Published on
26 Apr 2011 - 22:24
#group-theory
#algebraic-topology
#free-groups
140
Views
A lemma about free groups
Published on
29 May 2011 - 22:02
#group-theory
#free-groups
718
Views
Quotient of free group with normal subgroup
Published on
28 Mar 2026 - 10:35
#abstract-algebra
#group-theory
#free-groups
#group-presentation
236
Views
Identifying a certain subgroup of a free group
Published on
24 Aug 2011 - 17:26
#abstract-algebra
#group-theory
#free-groups
2.5k
Views
Free group as a free product
Published on
05 Sep 2011 - 2:25
#group-theory
#free-groups
641
Views
$F$ is a free abelian group on a set $X$ , $H \subseteq F$ is a free abelian group on $Y$, then $|Y| \leq |X|$
Published on
11 Nov 2011 - 11:50
#group-theory
#elementary-set-theory
#abelian-groups
#axiom-of-choice
#free-groups
415
Views
Normal subgroup of automorphisms of a free group
Published on
22 Nov 2011 - 18:17
#group-theory
#free-groups
1k
Views
Proving that a group generated by x,y and z and a given relation is actually free
Published on
30 Nov 2011 - 22:58
#free-groups
107
Views
The free group on 3 generators is isomorphic to a subgroup of the free group on 2 generators.
Published on
09 Dec 2011 - 22:01
#group-theory
#free-groups
5.3k
Views
Is there a simple proof of the fact that if free groups $F(S)$ and $F(S')$ are isomorphic, then $\operatorname{card}(S)=\operatorname{card}(S')?$
Published on
17 Feb 2012 - 19:47
#group-theory
#group-isomorphism
#free-groups
179
Views
A question about bases of free groups
Published on
29 Feb 2012 - 15:36
#group-theory
#free-groups
577
Views
Question on the presentation of $(\mathbb{R}, +)$
Published on
01 Mar 2012 - 2:26
#group-theory
#free-groups
81
Views
Regular normal forms of two groups
Published on
01 Apr 2012 - 1:17
#group-theory
#free-groups
#regular-language
6.3k
Views
Free group and universal property
Published on
12 Apr 2012 - 12:20
#abstract-algebra
#group-theory
#definition
#free-groups
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