Rank 3 finitep-group actions on products of spheres
نویسندگان
چکیده
منابع مشابه
RANK THREE p-GROUP ACTIONS ON PRODUCTS OF SPHERES
Let p be an odd prime. We prove that every rank three p-group acts freely and smoothly on a product of three spheres. To construct this action, we first prove a generalization of a theorem of Lück and Oliver on constructions of G-equivariant vector bundles. We also give some other applications of this generalization.
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This can be stated in a more symmetric manner. Let r be any positive integer not equal to 3. Then n acts freely and homologically trivially on Z r i ff n acts freely and homologically trivially on SL In fact, there is a one-to-one correspondence between such actions on U and such actions on S r. (The classification of such actions is discussed in w In addition the actions constructed have the p...
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ژورنال
عنوان ژورنال: Bulletin of the London Mathematical Society
سال: 2016
ISSN: 0024-6093,1469-2120
DOI: 10.1112/blms/bdw001