Results 181 to 190 of about 14,530,265 (235)
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Canadian Journal of Mathematics, 1957
Throughout this note all groups areabelian, written additively. We refer to Kurosh (8; 9) for notation, terminology and theorems used without reference. We recall the notion of aserving subgroup(or pure subgroup)of a group. This is a subgroupin which for every natural numbernevery equationnx = s, s ∊can be solved provided that it can be solved in. Ifis
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Throughout this note all groups areabelian, written additively. We refer to Kurosh (8; 9) for notation, terminology and theorems used without reference. We recall the notion of aserving subgroup(or pure subgroup)of a group. This is a subgroupin which for every natural numbernevery equationnx = s, s ∊can be solved provided that it can be solved in. Ifis
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Canadian Journal of Mathematics, 1967
The difficulties encountered in the theory of mixed Abelian groups can become decidedly less complex, if it is possible to reduce the question to mixed groups whose torsion subgroup is 𝒫-primary. Call such a group a p-mixed group. In §1 we show that the splitting problem for a mixed group is reducible to the same problem for certain associated 𝒫-mixed ...
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The difficulties encountered in the theory of mixed Abelian groups can become decidedly less complex, if it is possible to reduce the question to mixed groups whose torsion subgroup is 𝒫-primary. Call such a group a p-mixed group. In §1 we show that the splitting problem for a mixed group is reducible to the same problem for certain associated 𝒫-mixed ...
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Journal of Soviet Mathematics, 1982
This fifth survey of reviews on abelian groups comprises papers reviewed in 1985-1992. Just as in the preceding surveys, the issues concerning finite abelian groups, topological groups, ordered groups, group algebras, modules (with rare exceptions), and topics on logic are not considered.
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This fifth survey of reviews on abelian groups comprises papers reviewed in 1985-1992. Just as in the preceding surveys, the issues concerning finite abelian groups, topological groups, ordered groups, group algebras, modules (with rare exceptions), and topics on logic are not considered.
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Root Systems Extended by an Abelian Group and their Lie Algebras
Journal of Lie theory, 2004We introduce the notion of a root system extended by an abelian group G. This concept generalizes extended ane root systems. We classify them in terms of (translated) reflection spaces of G.
Heldermann Verlag, Yōji Yoshii
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What's Abelian about abelian groups?
BSHM Bulletin: Journal of the British Society for the History of Mathematics, 2013The association of names to mathematical concepts and results (the creation of eponyms) is often a curious process. For the case of abelian groups, we will be taken on a quick, guided tour of the life of Niels Henrik Abel, elliptic functions, a curve called the lemniscate, the construction of the regular 17-gon, and a particular class of solvable ...
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Acta Mathematica Hungarica, 2000
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Some New Results for the Square Subgroup of an Abelian Group
, 2016R. Andruszkiewicz, M. Woronowicz
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Countable abelian group actions and hyperfinite equivalence relations
, 2015Su Gao, S. Jackson
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Distributed Source Coding Using Abelian Group Codes: A New Achievable Rate-Distortion Region
IEEE Transactions on Information Theory, 2011Dinesh Krithivasan, S. Pradhan
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