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15
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A free category on the graph of flights. What idea is captured?

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#category-theory #free-groups #adjoint-functors
73
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Minimum length of a commutator in a free group?

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#group-theory #free-groups #combinatorial-group-theory
76
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Minimum length of a nontrivial word in $[[F_n,F_n],F_n]$

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#group-theory #free-groups #combinatorial-group-theory
1.4k
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Is there a generalization of the free group that includes infinitely long words?

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#abstract-algebra #group-theory #free-groups
129
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Does $(\mathbb{Z} * \mathbb{Z} )/ \mathbb{Z} = (\mathbb{Z} \times \mathbb{Z})/\mathbb{Z} = \mathbb{Z}$?

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#group-theory #free-groups
51
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How can $D_{2•4} $ be not a free group?

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#group-theory #free-groups
149
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image of homomorphism contains free group, then so does domain

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#abstract-algebra #group-homomorphism #free-groups
295
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Proving $yxy$ and $xyxyx$ generate a free subgroup of $\langle x, y \mid x^2, y^3 \rangle$.

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#group-theory #free-groups #geometric-group-theory
673
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Free abelian group of finite rank with subgroup of equal rank

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#abstract-algebra #abelian-groups #free-groups
39
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Schreier varieties and Markov properties

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#abstract-algebra #lie-algebras #semigroups #free-groups
519
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Understanding the Definition of Free Object.

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#group-theory #category-theory #free-groups
330
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Equivalent definition of free groups

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#free-groups #combinatorial-group-theory
238
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Two generators of $F_2$ must be free?

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#abstract-algebra #group-theory #free-groups
453
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Abelianization of free profinite group

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#group-theory #free-groups #profinite-groups
89
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What is wrong with this proof (Subgroup of Free group is a Free group)

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#group-theory #free-groups

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