Questions in algebra and mathematical logic. Scientific heritage of S. I. Adian

DOI10.1070/RM9980zbMath1478.20029MaRDI QIDQ4992044

A. L. Semenov, V. S. Atabekyan, Igor G. Lysenok, Victor S. Guba, Alexander A. Razborov, Lev D. Beklemishev

Publication date: 4 June 2021

Published in: Russian Mathematical Surveys (Search for Journal in Brave)

zbMATH Keywords

periodic groupsBurnside problemfinite basis problemalgorithmic problemsAdian-Rabin theoremcombinatorial theory of groups and semigroups

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) Model-theoretic algebra (03C60) Generators, relations, and presentations of groups (20F05) Extensions, wreath products, and other compositions of groups (20E22) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Quasivarieties and varieties of groups (20E10) Thue and Post systems, etc. (03D03)

Cites Work

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• Groups of bounded period with subgroups of prime order
• Once more on periodic products of groups and on a problem of A. I. Mal'tsev.
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• Decision problems for semi-Thue systems with a few rules
• On a method for proving exact bounds on derivational complexity in Thue systems
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• Defining Relations and the Algebraic Structure of the Group SL₂ over Integral Hamilton Quaternions
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• On nil-algebras and finitely approximable 𝑝-groups
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• Periodic products of groups
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