Rewriting products of group elements. I

DOI10.1016/0021-8693(88)90233-5zbMath0647.20033OpenAlexW4206088816MaRDI QIDQ1104417

Russell D. Blyth

Publication date: 1988

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8693(88)90233-5

zbMATH Keywords

property \(P_ n\)finite-by-abelian-by-finitegroups with permutation propertyProperty \(Q_ n\)

Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Generators, relations, and presentations of groups (20F05) Quasivarieties and varieties of groups (20E10) Commutator calculus (20F12) FC-groups and their generalizations (20F24)

Related Items (34)

Identities in group rings, enveloping algebras and Poisson algebras ⋮ Groups with Many Rewritable Products ⋮ On the derived length of groups with some permutational property ⋮ Characterization of Abelian-by-cyclic \(3\)-rewritable groups. ⋮ Rewriting products of group elements. II ⋮ Periodic groups with permutable subgroup products ⋮ Some combinatorial properties of the Thue-Morse sequence and a problem in semigroups ⋮ Semisimple groups with the rewriting property Q₅ ⋮ Properties of infinite words : Recent results ⋮ Rewritable groups. ⋮ Some remarks on the permutation property for semigroups ⋮ A property equivalent to \(n\)-permutability for infinite groups ⋮ A finiteness condition for semigroups generalizing a theorem of Hotzel ⋮ Permutation properties with some restrictions. ⋮ On fixed-point-free permutation properties in groups and semigroups ⋮ Permutational and rewritable groups ⋮ A permutability problem in infinite groups and Ramsey's theorem ⋮ ANn-REWRITABILITY CRITERION FOR INFINITE GROUPS ⋮ Intracommutativity properties for groups and semigroups ⋮ Permutable word products in groups ⋮ Multiplicative structure of \(2\times 2\) tropical matrices ⋮ Finite Groups Containing Many Involutions ⋮ Characterization of 3-Rewritable Finite Nilpotent Groups ⋮ 3-Rewritable Nilpotent 2-Groups of Class 2^# ⋮ On 3-Rewritable Groups ⋮ Geometric coverings of groups and their directions ⋮ Infinite words with linear subword complexity ⋮ A property equivalent to permutability for groups ⋮ Groups with Many Rewritable Products ⋮ Groups preserving the cardinality of subsets product under permutations ⋮ A note on rewritability of commutators in nilpotent groups ⋮ On a combinatorial property of Fibonacci semigroup ⋮ On a permutability problem for groups. ⋮ Some remarks on \(P_ n\)-sequenceable groups

Cites Work

• A permutational property of groups
• On the Burnside problem for semigroups
• On the 4-permutational property
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