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New posts in free-groups
A generating set of cardinality $n$ in the free group $F_n$ is a free basis.
abstract-algebra
free-groups
Can all squares in a free group be made from squares in the free monoid?
group-theory
free-groups
monoid
The homophonic group: a mathematical diversion
abstract-algebra
group-theory
free-groups
gap
What good are free groups?
abstract-algebra
group-theory
category-theory
free-groups
Subgroup of free group on two elements free of rank $6$.
abstract-algebra
group-theory
algebraic-topology
geometric-topology
free-groups
Motivation for definition of free group?
abstract-algebra
group-theory
definition
free-groups
motivation
Homomorphisms of $\mathbb{F}_2$ that preserve $aba^{-1}b^{-1}$
group-theory
free-groups
combinatorial-group-theory
Why the group $\langle x,y\mid x^2=y^2\rangle $ is not free?
abstract-algebra
free-groups
group-presentation
Is there a generalization of the free group that includes infinitely long words?
abstract-algebra
group-theory
free-groups
Prove elements generate a free group
group-theory
free-groups
Problem handling free groups in algebraic topology
group-theory
algebraic-topology
normal-subgroups
fundamental-groups
free-groups
Finding subgroups of a free group with a specific index
abstract-algebra
group-theory
free-groups
Prove that $\mathbb Z^n$ is not isomorphic to $\mathbb Z^m$ for $m\neq n$ [duplicate]
abstract-algebra
abelian-groups
group-isomorphism
free-groups
When is $G \ast H$ solvable?
group-theory
free-groups
solvable-groups
What is tricky about proving the Nielsen–Schreier theorem?
group-theory
proof-verification
free-groups
Prove that $PSL(2,\mathbb{Z})$ is free product of $C_2$ and $C_3$
free-groups
free-product
combinatorial-group-theory
I don't understand what a "free group" is!
abstract-algebra
group-theory
free-groups
Different ways of constructing the free group over a set.
category-theory
big-list
semigroups
free-groups
universal-algebra
Commutator subgroup of rank-2 free group is not finitely generated.
abstract-algebra
group-theory
free-groups
Abelianization of free group is the free abelian group
abstract-algebra
group-theory
category-theory
free-groups
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