Abstract
We prove that the alternating groupA 6 cannot freely act on (S n)5 We give an example of free action of the alternating groupA 4 on (S n)3.
References
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Plakhta, L.P. Restrictions on free actions of the alternating groupA 6 on products of spheres. Ukr Math J 48, 1623–1627 (1996). https://doi.org/10.1007/BF02377830
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DOI: https://doi.org/10.1007/BF02377830