Subgroups Determined by Certain Products of Augmentation Ideals

Autor:	Vermani, L. R.
Zdroj:	Algebra Colloquium; March 2000, Vol. 7 Issue: 1 p1-4, 4p
Abstrakt:	Let G be a group, ZG the integral group ring of G, and I(G) its augmentation ideal. Let H be a subgroup of G. It is proved that the subgroup of G determined by the product I(H)I(G)I(H) equals ?3(H), i.e., the third term in the lower central series of H. Also, the subgroup determined by I(H)I(G)In(H) (resp., In(H)I(G)I(H)) for n > 1 equals Dn+2(H), the (n + 2)th dimension subgroup of H.
Databáze:	Supplemental Index
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