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Some intersections and identifications in integral group rings

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Abstract

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 intersectionI n+1 (F) ∩I n+1 (R) is determined for alln≥ 1. The subgroupsF ∩ (1+ZFI (R) I (F) I (S)) ANDF ∩ (1 + I (R)I 3 (F)) of F are identified whenR and S are arbitrary subgroups ofF.

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Authors and Affiliations

  1. Department of Mathematics, Kurukshetra University, 136 119, Kurukshetra, India

    Ram Karan & Deepak Kumar

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  1. Ram Karan
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  2. Deepak Kumar
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Karan, R., Kumar, D. Some intersections and identifications in integral group rings. Proc. Indian Acad. Sci. (Math. Sci.) 112, 289–297 (2002). https://doi.org/10.1007/BF02829754

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  • DOI: https://doi.org/10.1007/BF02829754

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