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Free actions of p-groups (p>3) on Sn×Sn

Published online by Cambridge University Press:  18 May 2009

Kahtan Alzubaidy
Kahtan Alzubaidy
Affiliation:
Mathematics Department, Science College, Garyounis University, Benghazi, Libya
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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.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 23 , Issue 2 , July 1982 , pp. 97 - 101
Copyright
Copyright © Glasgow Mathematical Journal Trust 1982

References

REFERENCES

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