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- W1570296778 abstract "We define the infinite-dimensional hypercube graph $H_{{aleph}_{0}}$ as a graph whose vertex set is formed by the so-called singular subsets of ${mathbb Z}setminus{0}$. This graph is not connected, but it has isomorphic connected components. We show that the restrictions of its automorphisms to the connected components are induced by permutations on ${mathbb Z}setminus{0}$ preserving the family of singular subsets. As an application, we describe the automorphism group of the connected components." @default.
- W1570296778 created "2016-06-24" @default.
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- W1570296778 date "2012-11-08" @default.
- W1570296778 modified "2023-09-28" @default.
- W1570296778 title "A Note on Automorphisms of the Infinite-Dimensional Hypercube Graph" @default.
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- W1570296778 doi "https://doi.org/10.37236/2749" @default.
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