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- W4361272460 abstract "Abstract Dold manifolds $P(m,n)$ are certain twisted complex projective space bundles over real projective spaces and serve as generators for the unoriented cobordism algebra of smooth manifolds. The paper investigates the structure of finite groups that act freely on products of Dold manifolds. It is proved that if a finite group G acts freely and $ mathbb{Z}_2 $ cohomologically trivially on a finite CW-complex homotopy equivalent to ${prod_{i=1}^{k} P(2m_i,n_i)}$ , then $Gcong (mathbb{Z}_2)^l$ for some $lleq k$ (see Theorem A for the exact bound). We also determine some bounds in the case when for each i , n i is even and m i is arbitrary. As a consequence, the free rank of symmetry of these manifolds is determined for cohomologically trivial actions." @default.
- W4361272460 created "2023-03-31" @default.
- W4361272460 creator A5063076156 @default.
- W4361272460 date "2023-02-01" @default.
- W4361272460 modified "2023-09-29" @default.
- W4361272460 title "Free rank of symmetry of products of Dold manifolds" @default.
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- W4361272460 doi "https://doi.org/10.1017/s0013091523000068" @default.
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