Disjoint basic subgroups

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Basic Subgroups in Commutative Modular Group Rings

Let S(RG) be a normed Sylow p-subgroup in a group ring RG of an abelian group G with p-component Gp and a p-basic subgroup B over a commutative unitary ring R with prime characteristic p. The first central result is that 1 + I(RG;Bp) + I(R(p)G;G) is basic in S(RG) and B[1 + I(RG;Bp) + I(R(p )G;G)] is p-basic in V (RG), and [1 + I(RG;Bp) + I(R(p )G;G)]Gp/Gp is basic in S(RG)/Gp and [1 + I(RG;Bp)...

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ژورنال

عنوان ژورنال: Pacific Journal of Mathematics

سال: 1967

ISSN: 0030-8730,0030-8730

DOI: 10.2140/pjm.1967.23.119