Rewritable groups.

DOI10.1016/j.jalgebra.2011.08.007zbMath1248.20034OpenAlexW4213329062MaRDI QIDQ408512

M. I. Elashiry, Donald S.Passman

Publication date: 10 April 2012

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2011.08.007

zbMATH Keywords

group algebraspolynomial identitiescharacteristic subgroupscombinatorial conditions on subsetsfinite conjugate centerpermutation propertiespermutational groupsrewritable groupsrewriting properties

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Group rings (16S34) Generators, relations, and presentations of groups (20F05) Local properties of groups (20E25) FC-groups and their generalizations (20F24)

Related Items (6)

Identities in group rings, enveloping algebras and Poisson algebras ⋮ Multiplicatively collapsing and rewritable algebras ⋮ Growth of unbounded sets in nilpotent groups and random mapping statistics ⋮ Permutational and rewritable groups ⋮ On group gradings on PI-algebras. ⋮ Groups with Many Rewritable Products

Cites Work

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• On the 4-permutational property
• On permutation properties in groups and semigroups
• Rewriting products of group elements. I
• Rewriting products of group elements. II
• The classification of groups in which every product of four elements can be reordered
• Group algebras
• Group rings satisfying a polynomial identity
• On the derived length of groups with some permutational property
• Groups with boundedly finite classes of conjugate elements
• Observations on group rings
• Groups with Representations of Bounded Degree
• Minimal Identities for Algebras
• Linear identities in group rings. I

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