Free $\mathcal{A}_4$-actions on products of spheres
We summarize what is known about free actions of $\mathcal{A}_4$, the alternating group on four letters, on products of spheres. New results are also included: in particular, we prove that $\mathcal{A}_4$ acts freely on $S_n \times S_n \times S_n$ if and only if $n = 1, 3, 7$.
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| Date: | 2013 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2013
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| Online Access: | https://trim.imath.kiev.ua/index.php/trim/article/view/277 |
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| Journal Title: | Transactions of Institute of Mathematics of NAS of Ukraine |
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