Is it true that for $p\neq 2 $, $\mathbb{Z}_p$ does not act freely on $ \mathbb{C}P^{n_1} \times \mathbb{C}P^{n_2} \times \cdots \times \mathbb{C}P^{n_k}$?
How to prove it?
Thank you so much in advance.
Does $\mathbb{Z}_p$ acts freely on $ \mathbb{C}P^{n_1} \times \mathbb{C}P^{n_2} \times \cdots \times \mathbb{C}P^{n_k}$?
Shivani Sengupta
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