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Properties unique to free groups

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#group-theory #free-groups
56
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Determining the cardinality of a system of free generators for the fundamental group of $E$.

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#algebraic-topology #fundamental-groups #free-groups
70
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What does $\Phi\vert_S$ mean?

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#abstract-algebra #group-theory #notation #abelian-groups #free-groups
117
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symmetric power

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#abstract-algebra #modules #free-groups #free-modules #graded-modules
359
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Products in the free group are associative

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#group-theory #solution-verification #alternative-proof #free-groups #combinatorial-group-theory
151
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Show that the free group $F_n$ contains a subgroup isomorphic to $F_k$ whenever 1≤k≤n.

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#group-theory #free-groups
41
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Presentation of free group

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#free-groups
278
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Epimorphism from free product to direct product of groups.

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#group-theory #group-homomorphism #free-groups
252
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Showing this quotient group is isomorphic to $\mathbb{Z}_2\times{}\mathbb{Z}_2$

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#group-theory #solution-verification #group-isomorphism #free-groups #quotient-group
206
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Quotient of a free group by a subgroup of the commutator

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#abstract-algebra #group-theory #normal-subgroups #free-groups
70
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Representing a group as a quotient of a free group

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#group-theory #finite-groups #free-groups #semidirect-product #quotient-group
183
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Free groups and free product of groups are isomorphic

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#group-theory #free-groups #free-product
60
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generating set of $\mathbb{Z}$

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#abstract-algebra #group-theory #free-groups
35
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Equivalent subgroups of a free group?

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#group-theory #free-groups
660
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about free group and fundamental group.

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#group-theory #algebraic-topology #free-groups

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