Units of p-power order in principal p-blocks of p-constrained groups
نویسندگان
چکیده
منابع مشابه
Units of p-power order in principal p-blocks of p-constrained groups
Let G be a finite group having a normal p-subgroup N that contains its centralizer CG(N), and let R be a p-adic ring. It is shown that any finite p-group of units of augmentation one in RG which normalizes N is conjugate to a subgroup of G by a unit of RG, and if it centralizes N it is even contained in N .
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2016
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2012.04.025