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arxiv: 1002.0128 · v3 · pith:5KZ7EHMOnew · submitted 2010-01-31 · 🧮 math.GR · math.AT

Symmetric ideals in group rings and simplicial homotopy

classification 🧮 math.GR math.AT
keywords groupidealsringsdeterminedhomotopysubgroupssymmetriccases
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In this paper homotopical methods for the description of subgroups determined by ideals in group rings are introduced. It is shown that in certain cases the subgroups determined by symmetric product of ideals in group rings can be described with the help of homotopy groups of spheres.

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