Free linear actions of finite groups on products of spheres
نویسندگان
چکیده
منابع مشابه
Free actions of finite groups on rational homology 3-spheres
We show that any finite group can act freely on a rational homology 3-sphere. 2000 Elsevier Science B.V. All rights reserved.
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For a finite supersolvable group G, we define the saw rank of G to be the minimum number of sections Gk − Gk−1 of a cyclic normal series G∗ such that Gk − Gk−1 owns an element of prime order. The axe rank of G, studied by Ray [10], is the minimum number of spheres in a product of spheres admitting a free linear action of G. Extending a question of Ray, we conjecture that the two ranks are equal...
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متن کاملSemifree Actions of Finite Groups on Homotopy Spheres
We show that for any finite group the group of semifree actions on homotopy spheres of some fixed even dimension is finite, provided that the dimension of the fixed point set is greater than 2. The argument shows that for such an action the normal bundle to the fixed point set is equivariantly, stably trivial. 0. Introduction. A group G is said to act semifreely on a space X if every point is e...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1992
ISSN: 0021-8693
DOI: 10.1016/0021-8693(92)90216-9