Imprimitivity systems and lattices of normal subgroups in \(D\)-hyperoctahedral groups.

DOI10.1134/S0037446614010169zbMath1335.20002MaRDI QIDQ467670

B. V. Oliynyk, V. I. Sushchans'kyi

Publication date: 4 November 2014

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

moduleswreath productsgroups of isometrieshyperoctahedral groupslattices of normal subgroupshomogeneous symmetric groupsimprimitivity systemsinductive limits of finite hyperoctahedral groupssymmetric group of the natural numbers

Mathematics Subject Classification ID

Transformation groups and semigroups (topological aspects) (54H15) Metric spaces, metrizability (54E35) General groups of measure-preserving transformations (28D15) Chains and lattices of subgroups, subnormal subgroups (20E15) Infinite automorphism groups (20B27)

Related Items (1)

Homogeneous monomial groups and centralizers

Cites Work

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• Isometry groups of Hamming spaces of periodic sequences
• Commutator groups of monomial groups
• Limits of cubes
• Representations of permutation groups II
• Direct limits of symmetric and alternating groups with strictly diagonal embeddings
• A note on automorphisms of the infinite-dimensional hypercube graph
• Representations of permutation groups. Part I
• The Kantorovich metric: the initial history and little-known applications
• Structure and representations of the hyperoctahedral group

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