The isometry groups of the Hamming spaces of periodic sequences
eKMAIR
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
The isometry groups of the Hamming spaces of periodic sequences
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| Creator |
Oliynyk, Bogdana
Sushchanski, V. |
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| Subject |
Hamming space
Besicovitch space isometry group semidirect product rooted tree Bernoulli measure |
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| Description |
We consider the Hamming space of periodic (0, 1)-sequences and a continual family of its subspaces defined as direct limits of finite Hamming spaces. These subspaces form a complete lattice under inclusion which is isomorphic to the lattice of supernatural numbers. We explicitly describe the isometry groups of these spaces. This involves certain constructions similar to the hyperoctahedral groups but accounting for additional structures on the underlying sets. |
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| Date |
2015-11-25T09:42:45Z
2015-11-25T09:42:45Z 2013 |
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| Type |
Article
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| Identifier |
Oliynyk B. The isometry groups of the Hamming spaces of periodic sequences / B. V. Oliynyk, V. I. Sushchanski // Siberian Mathematical Journal. - 2013. - Vol. 54, no. 1. - P. 124-136.
http://ekmair.ukma.edu.ua/handle/123456789/7321 |
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| Language |
en
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| Relation |
Siberian Mathematical Journal
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