Some intersections and identifications in integral group rings |
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| Authors: | Ram Karan Deepak Kumar |
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| Institution: | (1) Department of Mathematics, Kurukshetra University, 136 119 Kurukshetra, India |
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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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| Keywords: | Integral group ring augmentation ideal subgroup identification |
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