Restrictions on free actions of the alternating group $A_6$ on products of spheres

• Date: 1996
• Main Authors: Plakhta, L. P., Плахта, Л. П.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 1996
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5229
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We prove that the alternating group $A_6$ cannot freely act on $(S^n)^5$ We give an example of free action of the alternating group $A_4$ on $(S^n)^3$.