کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6426164 1345430 2011 13 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Nilpotency of Bocksteins, Kropholler's hierarchy and a conjecture of Moore
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
Nilpotency of Bocksteins, Kropholler's hierarchy and a conjecture of Moore
چکیده انگلیسی

We show that the class of pairs (Γ,H) of a group and a finite index subgroup which verify a conjecture of Moore about projectivity of modules over ZΓ satisfy certain closure properties. We use this, together with a result of Benson and Goodearl, in order to prove that Moore's conjecture is valid for groups which belongs to Kropholler's hierarchy LHF. For finite groups, Moore's conjecture is a consequence of a theorem of Serre, about the vanishing of a certain product in the cohomology ring (the Bockstein elements). Using our result, we construct examples of pairs (Γ,H) which satisfy the conjecture without satisfying the analog of Serre's theorem.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 226, Issue 5, 20 March 2011, Pages 4212-4224
نویسندگان
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