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- Por el contrario, Friedrich Wilhelm Levi demostró que un grupo abeliano libre de torsión es biordenable.[4] Esto sigue siendo cierto para grupos nilpotentes…16 kB (2420 palabras) - 10:12 16 feb 2024
Resultados de la Wikipedia en inglés.
- algebra, a torsion-free abelian group is an abelian group which has no non-trivial torsion elements; that is, a group in which the group operation is…6 kB (783 palabras) - 23:28 15 dic 2023
- problems in the theory of infinite-rank torsion-free abelian groups; While countable torsion abelian groups are well understood through simple presentations…36 kB (5288 palabras) - 16:25 31 ene 2024
- abelian group: every finite abelian group is a direct sum of primary cyclic groups. Denote the torsion subgroup of G as tG. Then, G/tG is a torsion-free…12 kB (1658 palabras) - 07:13 19 may 2024
- was introduced for abelian groups before being generalized to modules). In the case of groups that are noncommutative, a torsion element is an element…12 kB (1657 palabras) - 16:54 17 may 2024
- In mathematics, the rank, Prüfer rank, or torsion-free rank of an abelian group A is the cardinality of a maximal linearly independent subset. The rank…7 kB (1132 palabras) - 22:35 10 dic 2022
- of abelian groups, the torsion subgroup AT of an abelian group A is the subgroup of A consisting of all elements that have finite order (the torsion elements…7 kB (911 palabras) - 03:56 16 ago 2023
- free abelian groups are used to define chain groups, and in algebraic geometry they are used to define divisors. The elements of a free abelian group…49 kB (6756 palabras) - 01:09 13 nov 2023
- groups. The torsion subgroup of an abelian group A is the subgroup of A that consists of all elements that have finite order. A torsion abelian group…5 kB (638 palabras) - 12:37 27 ago 2023
- where zero is the only torsion element Torsion-free abelian group, an abelian group which is a torsion-free group Torsion-free rank, the cardinality of…817 bytes (140 palabras) - 08:53 27 ago 2016
- if and only if it has no local torsion sections. Torsion (algebra) torsion-free abelian group torsion-free abelian group of rank 1; the classification…4 kB (591 palabras) - 10:14 18 feb 2024
- think of an abelian scheme over S as being a family of abelian varieties parametrised by S. For an abelian scheme A / S, the group of n-torsion points forms…21 kB (2918 palabras) - 10:20 25 abr 2024
- Divisible groups are important in understanding the structure of abelian groups, especially because they are the injective abelian groups. An abelian group (…10 kB (1411 palabras) - 20:34 27 mar 2024
- H_{i-1}(C,P).} To be more precise, C should be a complex of free, or at least torsion-free, abelian groups, and the homology is of the complexes formed by tensor…3 kB (408 palabras) - 21:10 10 sep 2023
- M. C. R. Butler (1965). Butler, M. C. R. (1965), "A class of torsion-free abelian groups of finite rank", Proc. London Math. Soc., Series 3, 15: 680–698…658 bytes (78 palabras) - 23:29 12 ago 2023
- torsion-free abelian group is bi-orderable; this is still true for nilpotent groups but there exist torsion-free, finitely presented groups which are not…9 kB (1425 palabras) - 19:25 6 abr 2024
- group is a torsion-free abelian group that is "small" in a sense that is made precise in the definition below. Let ZN denote the Baer–Specker group,…3 kB (340 palabras) - 18:55 12 oct 2022
- In abelian group theory, an abelian group is said to be cotorsion if every extension of it by a torsion-free group splits. If the group is M {\displaystyle…2 kB (235 palabras) - 17:38 5 abr 2021
- Free abelian group Free group Free product Generating set of a group Group cohomology Group extension Presentation of a group Product of group subsets…10 kB (800 palabras) - 20:17 10 ene 2024
- the infinite Thompson groups T {\displaystyle T} and V {\displaystyle V} . Finitely presented torsion-free infinite simple groups were constructed by Burger…16 kB (2134 palabras) - 23:50 20 abr 2024
- exact sequence of abelian groups in which A , C {\displaystyle A,C} are torsion-free, then B {\displaystyle B} is seen to be torsion-free by the following…8 kB (1382 palabras) - 14:06 2 dic 2023
- Virtually (redirección desde Virtually abelian group)Common uses for this would be when P is abelian, nilpotent, solvable or free. For example, virtually solvable groups are one of the two alternatives in the…3 kB (479 palabras) - 20:46 11 ago 2022