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A problem on free products

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#group-theory #free-groups #free-product
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Free product of infinite many groups is not finitely generated?

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#abstract-algebra #group-theory #free-product
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Fundamental group of infinitely many glued copies of a space

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#algebraic-topology #fundamental-groups #free-product
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free product with amalgamation is correspondingly a pushout

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#group-theory #category-theory #free-product
306
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Basic properties of free product amalgamation of groups

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#abstract-algebra #group-theory #free-groups #free-product
478
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Commutative free products

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#group-theory #abelian-groups #free-product
421
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Abelianizated free product of two groups

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#abelian-groups #free-groups #free-product
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What is the difference between free groups and a free product?

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#abstract-algebra #algebraic-topology #free-groups #free-product
664
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The graph of free product group.

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#graph-theory #free-groups #geometric-group-theory #free-product
240
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Let $G= G_1 * G_2$, where $G_1$ and $G_2$ are cyclic of orders $m$ and $n$. Then $m$ and $n$ are uniquely determined by $G$.

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#group-theory #finite-groups #free-groups #free-product
254
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Subgroup of free products is torsion-free

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#group-theory #free-product
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Abelianization of free product is the direct sum of abelianizations

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#abstract-algebra #group-theory #algebraic-topology #free-groups #free-product
134
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N is a normal subgroup in $G*H$ generated by $G$ then $H\cong G*H/N$

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#abstract-algebra #free-product
301
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Trying to Understand Van Kampen Theorem

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#algebraic-topology #homotopy-theory #free-product
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On the definition of free products

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#group-theory #free-groups #free-product

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