Geodesic
Free actions of p-groups (p>3) on Sn×Sn
Glasgow mathematical journal, Tome 23 (1982) no. 2, pp. 97-101

Voir la notice de l'article provenant de la source Cambridge University Press

In [3] P. E. Conner showed that no abelian group with rank greater than 2 can act freely on Sn×Sn, the product of two spheres. G. Lewis [6] studied free actions of p-groups on Sn×Sn, when n is odd, n≢−l(p) and p is an odd prime. He showed that any p-group which has such an action must be abelian. 
Alzubaidy, Kahtan. Free actions of p-groups (p>3) on Sn×Sn. Glasgow mathematical journal, Tome 23 (1982) no. 2, pp. 97-101. doi: 10.1017/S0017089500004857
@article{10_1017_S0017089500004857,
     author = {Alzubaidy, Kahtan},
     title = {Free actions of p-groups (p>3) on {Sn{\texttimes}Sn}},
     journal = {Glasgow mathematical journal},
     pages = {97--101},
     year = {1982},
     volume = {23},
     number = {2},
     doi = {10.1017/S0017089500004857},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089500004857/}
}
TY  - JOUR
AU  - Alzubaidy, Kahtan
TI  - Free actions of p-groups (p>3) on Sn×Sn
JO  - Glasgow mathematical journal
PY  - 1982
SP  - 97
EP  - 101
VL  - 23
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.1017/S0017089500004857/
DO  - 10.1017/S0017089500004857
ID  - 10_1017_S0017089500004857
ER  - 
%0 Journal Article
%A Alzubaidy, Kahtan
%T Free actions of p-groups (p>3) on Sn×Sn
%J Glasgow mathematical journal
%D 1982
%P 97-101
%V 23
%N 2
%U http://geodesic.mathdoc.fr/articles/10.1017/S0017089500004857/
%R 10.1017/S0017089500004857
%F 10_1017_S0017089500004857

[1] 1.Alzubaidy, K., Metacyclic p-groups and Chern classes, Illinois J. Math. (to appear). Google Scholar

[2] 2.Burnside, W., Theory of groups of finite order, 2nd edition (reprinted Dover, 1955). Google Scholar

[3] 3.Conner, P. E., On the action of a finite group on Sn×S, Ann. of Math. (2) 66 (1957), 586–588. Google Scholar | DOI

[4] 4.Curtis, C. W. and Reiner, I., Representation theory of finite groups and associative algebras (Inter-Science, 1962). Google Scholar

[5] 5.Huppert, B., Endliche Gruppen I (Springer-Verlag, 1967). Google Scholar | DOI

[6] 6.Lewis, G., Free actions on Sn×Sn, Trans. Amer. Math. Soc. 132 (1968), 531–540. Google Scholar

[7] 7.Lewis, G., The integral cohomology rings of groups of order p3, Trans. Amer. Math. Soc. 132 (1968), 501–529. Google Scholar

Cité par Sources :