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Longer titles found: Cotorsion group (view)

searching for Torsion group 13 found (29 total)

Griffiths group (333 words) [view diff] exact match in snippet view article find links to article

group Griff2⁡(X){\displaystyle \operatorname {Griff} ^{2}(X)} is not a torsion group. (Voisin 2003, ch.8) Carlson, James; Müller-Stach, Stefan; Peters, Chris

Division polynomials (1,178 words) [view diff] exact match in snippet view article find links to article

{\displaystyle A,B\in \mathbb {F} _{p}} . The ℓ {\displaystyle \ell } -torsion group of E {\displaystyle E} over F ¯ p {\displaystyle {\bar {\mathbb {F}

Rank of an elliptic curve (2,772 words) [view diff] exact match in snippet view article find links to article

E(K)_{\text{tors}},} where E ( K ) tors {\displaystyle E(K)_{\text{tors}}} is the torsion group of E, for which comparatively much is known, and r ∈ Z ≥ 0 {\displaystyle

Étale topology (1,090 words) [view diff] exact match in snippet view article find links to article

of F is finite locally constant. It is called torsion if F(U) is a torsion group for all étale covers U of X. Finite locally constant sheaves are constructible

Glossary of group theory (2,821 words) [view diff] exact match in snippet view article find links to article

symmetric groups of any two sets of the same size are isomorphic.) torsion group Synonym for periodic group. transitively normal subgroup A subgroup

Hilton's theorem (495 words) [view diff] exact match in snippet view article find links to article

the direct-sum of a free abelian group of rank two with the abelian 2-torsion group with 8 elements. Hilton, Peter J. (1955), "On the homotopy groups of

Dual abelian variety (1,609 words) [view diff] exact match in snippet view article find links to article

coprime to the characteristic of the base. In general - for all n - the n-torsion group schemes of dual abelian varieties are Cartier duals of each other. This

Serre's property FA (470 words) [view diff] exact match in snippet view article find links to article

property FA. The following groups have property FA: A finitely generated torsion group; SL3(Z); The Schwarz group ⟨ a , b : a A = b B = ( a b ) C = 1 ⟩ {\displaystyle

Étale cohomology (5,016 words) [view diff] exact match in snippet view article find links to article

of F is finite locally constant. It is called torsion if F(U) is a torsion group for all étale covers U of X. Finite locally constant sheaves are constructible

Norm residue isomorphism theorem (2,319 words) [view diff] exact match in snippet view article find links to article

residue map. Because étale cohomology with mod-ℓ coefficients is an ℓ-torsion group, this map additionally factors through K n M ( k ) / ℓ {\displaystyle

Grigorchuk group (2,670 words) [view diff] exact match in snippet view article find links to article

(2001), no. 1, pp. 1–17. Laurent Bartholdi. The growth of Grigorchuk's torsion group. International Mathematics Research Notices, 1998, no. 20, pp. 1049–1054

Rostislav Grigorchuk (2,030 words) [view diff] exact match in snippet view article find links to article

Chicago. ISBN 0-226-31719-6 Laurent Bartholdi. The growth of Grigorchuk's torsion group. International Mathematics Research Notices, 1998, no. 20, pp. 1049-1054

Algebraic K-theory (10,382 words) [view diff] exact match in snippet view article find links to article

Dedekind domains with all quotients by maximal ideals finite, SK1 is a torsion group. For a non-commutative ring, the determinant cannot in general be defined