کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4597770 1336231 2008 16 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Orientation-reversing actions on lens spaces and Gaussian integers
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
پیش نمایش صفحه اول مقاله
Orientation-reversing actions on lens spaces and Gaussian integers
چکیده انگلیسی

A finite group action on a lens space L(p,q)L(p,q) has ‘type OR’ if it reverses orientation and has an invariant Heegaard torus whose sides are interchanged by the orientation-reversing elements. In this paper we enumerate the actions of type OR up to equivalence. This leads to a complete classification of geometric finite group actions on amphicheiral lens spaces L(p,q)L(p,q) with p>2p>2. The family of actions of type OR is partially ordered by lifting actions via covering maps. We show that each connected component of this poset may be described in terms of a subset of the lattice of Gaussian integers ordered by divisibility. This results in a correspondence equating equivalence classes of actions of type OR with pairs of Gaussian integers.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Pure and Applied Algebra - Volume 212, Issue 3, March 2008, Pages 652–667
نویسندگان
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