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Some intersections and identifications in integral group rings
Journal article   Peer reviewed

Some intersections and identifications in integral group rings

Ram Karan and Deepak Kumar
Proceedings of the Indian Academy of Sciences. Mathematical sciences, Vol.112(2), pp.289-297
01/05/2002
DOI: https://doi.org/10.1007/BF02829754

Abstract

Subgroups
LetZG be the integral group ring of a groupG and I(G) its augmentation ideal. For a free groupF andR a normal subgroup ofF, the intersectionIn+1 (F) ∩In+1 (R) is determined for alln≥ 1. The subgroupsF ∩ (1+ZFI (R) I (F) I (S)) ANDF ∩ (1 + I (R)I3 (F)) of F are identified whenR and S are arbitrary subgroups ofF.

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