Examples of Free Actions on Products of Spheres
نویسنده
چکیده
We construct a non-abelian extension Γ of S by Z/3 × Z/3, and prove that Γ acts freely and smoothly on S × S. This gives new actions on S × S for an infinite family P of finite 3-groups. We also show that any finite odd order subgroup of the exceptional Lie group G2 admits a free smooth action on S × S. This gives new actions on S×S for an infinite family E of finite groups. We explain the significance of these families P, E for the general existence problem, and correct some mistakes in the literature.
منابع مشابه
Some Examples of Free Actions on Products of Spheres
If G1 and G2 are finite groups with periodic Tate cohomology, then G1 × G2 acts freely and smoothly on some product S n × S.
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تاریخ انتشار 2008