A note on finite groups which act freely on closed surfaces
نویسندگان
چکیده
منابع مشابه
Which Finite Groups Act Freely on Spheres?
For those who know about group cohomology will know that if a group acts freely on sphere, then it has periodic cohomology. Now the group Zp×Zp does not have periodic cohomology, (just use the Künneth formula again) therefore it cannot act freely on any sphere. For those who do not know about group cohomology a finite group having periodic cohomology is equivalent to all the abelian subgroups b...
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A classic result of Swan states that a finite group G acts freely on a finite homotopy sphere if and only if every abelian subgroup of G is cyclic. Following this result, Benson and Carlson conjectured that a finite group G acts freely on a finite complex with the homotopy type of n spheres if the rank of G is less than or equal to n. Recently, Adem and Smith have shown that every rank two fini...
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ژورنال
عنوان ژورنال: Hiroshima Mathematical Journal
سال: 1975
ISSN: 0018-2079
DOI: 10.32917/hmj/1206136634