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generalization of positive-definite matrices to matrices over finite fields

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#linear-algebra #finite-fields #inner-products #multilinear-algebra #torsion-groups
299
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Abelian group splits in torsion and torsion-free

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#group-theory #abelian-groups #torsion-groups
176
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Cardinality of the torsion subgroup of a field.

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#group-theory #field-theory #torsion-groups
392
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Cohomology of finite cyclic group is always torsion

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#group-theory #modules #homology-cohomology #group-cohomology #torsion-groups
197
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What are the free and torsion parts of $\mathbb{Z}\times\mathbb{Z}$, $\mathbb{Z}\times\mathbb{Z}_6$, and $\mathbb{Q}/\mathbb{Z}$?

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#abstract-algebra #modules #direct-product #torsion-groups
679
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Baumslag-Solitar group BS(1,2) is torsion-free

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#group-theory #geometric-group-theory #torsion-groups
1.1k
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Mixed group example

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#abstract-algebra #torsion-groups
35
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Normality of the torsion part of a group given it is a subgroup

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#group-theory #torsion-groups
1k
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$2$-torsion points of an elliptic curve over $\mathbb{F}_p$

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#elliptic-curves #torsion-groups
1.2k
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Torsion Modules Annihilators

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#abstract-algebra #modules #principal-ideal-domains #torsion-groups
70
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Number of given order subgroups of the torsion subgroup (Elliptic Curve)

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#group-theory #elliptic-curves #cryptography #torsion-groups #isogeny
81
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Is $G=\{ e\}$ both torsion group and a torsion-free group?

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#abstract-algebra #group-theory #torsion-groups
51
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Can't understand matrix representation of a torsion subgroup homomorphism

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#elliptic-curves #group-homomorphism #torsion-groups
69
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Quotient of an abelian group by torsion subgroup provides a characteristic free abelian subgroup?

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#group-theory #abelian-groups #quotient-group #torsion-groups
64
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Does there exist a torsion-free compact Hausdorff topological group?

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#group-theory #topological-groups #torsion-groups

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