Symmetric ideals in group rings and simplicial homotopy

Details Symmetric ideals in group rings and simplicial homotopy Symmetric ideals in group rings and simplicial homotopy

2010-01-31

arxiv.org/abs/1002.0128v3

J. Pure Appl. Algebra 215 (2011), 1085-1092

Mathematics

Group Theory

10 pages, to appear in J. Pure Appl. Algebra

Scientific paper

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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