Homomorphic encoders of profinite abelian groups. I

DOI10.1016/j.jpaa.2022.107305OpenAlexW4311475755WikidataQ122209824 ScholiaQ122209824MaRDI QIDQ2684791

María Vicenta Ferrer González, Salvador Hernández

Publication date: 17 February 2023

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.13135

zbMATH Keywords

group codegenerating setweakly controllable grouphomomorphic encoderorder controllable groupprofinite abelian group

Mathematics Subject Classification ID

Topological groups (topological aspects) (54H11) Coding and information theory (compaction, compression, models of communication, encoding schemes, etc.) (aspects in computer science) (68P30) Compact groups (22C05) Symbolic dynamics (37B10) Direct sums, direct products, etc. for abelian groups (20K25) Topological methods for abelian groups (20K45)

Cites Work

• Report on the open problems session
• Topologically independent sets in precompact groups
• Shifts on compact and discrete Lie groups: Algebraic-topological invariants and classification problems
• Subdirect products of finite abelian groups. In honour of Manuel López-Pellicer
• Subgroups of direct products closely approximated by direct sums
• Classifications of countably-based abelian profinite groups
• On behaviors and convolutional codes
• Dynamical systems and convolutional codes over finite Abelian groups
• On Direct Products of Infinite Cyclic Groups
• The Dynamics of Group Codes: Dual Abelian Group Codes and Systems
• Direct sums and products in topological groups and vector spaces

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