The isometry groups of the Hamming spaces of periodic sequences

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dc.contributor.authorOliynyk, Bogdana
dc.contributor.authorSushchanski, V.
dc.date.accessioned2015-11-25T09:42:45Z
dc.date.available2015-11-25T09:42:45Z
dc.date.issued2013
dc.description.abstractWe 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.uk
dc.identifier.citationOliynyk 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.uk
dc.identifier.urihttps://ekmair.ukma.edu.ua/handle/123456789/7321
dc.language.isoenuk
dc.relation.sourceSiberian Mathematical Journaluk
dc.statuspublished earlieruk
dc.subjectHamming spaceuk
dc.subjectBesicovitch spaceuk
dc.subjectisometry groupuk
dc.subjectsemidirect productuk
dc.subjectrooted treeuk
dc.subjectBernoulli measureuk
dc.titleThe isometry groups of the Hamming spaces of periodic sequencesuk
dc.typeArticleuk
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