کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4597845 1336235 2009 20 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Reduction of UNil for finite groups with normal abelian Sylow 2-subgroup
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Reduction of UNil for finite groups with normal abelian Sylow 2-subgroup
چکیده انگلیسی

Let FF be a finite group with a Sylow 2-subgroup SS that is normal and abelian. Using hyperelementary induction and cartesian squares, we prove that Cappell’s unitary nilpotent groups UNil∗(Z[F];Z[F],Z[F]) have an induced isomorphism to the quotient of UNil∗(Z[S];Z[S],Z[S]) by the action of the group F/SF/S. In particular, any finite group FF of odd order has the same UNil-groups as the trivial group. The broader scope is the study of the LL-theory of virtually cyclic groups, based on the Farrell–Jones isomorphism conjecture. We obtain partial information on these UNil when SS is a finite abelian 2-group and when SS is a special 2-group.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Pure and Applied Algebra - Volume 213, Issue 3, March 2009, Pages 279–298
نویسندگان
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