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2024-ary quasigroups and related topics
November 1, 2024 11:00–12:30, Novosibirsk, Sobolev Institute of Mathematics, room 115
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On the number of partitions of the hypercube $Z_q^n$ into large subcubes
Yu. V. Tarannikov |
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Abstract:
It is proved that the number of partitions of the hypercube $Z_q^n$ into $q^m$ subcubes of dimension $n-m$ each for fixed $q$, $m$ and growing $n$ is asymptotically equal to $n^{(q^m-1)/(q-1)}$.
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