Chains of idempotents in endomorphism monoids.

DOI10.1007/S40306-013-0042-ZzbMath1308.20033OpenAlexW1964203087MaRDI QIDQ489999

Bertram Arthur Frederick Wehrfritz

Publication date: 21 January 2015

Published in: Acta Mathematica Vietnamica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40306-013-0042-z

zbMATH Keywords

periodic semigroupsendomorphism monoidslocally finite normal subgroupsminimal condition on subgroupsrank restrictionssoluble groups of finite rankchains of idempotent endomorphisms

Mathematics Subject Classification ID

Semigroups of transformations, relations, partitions, etc. (20M20) Solvable groups, supersolvable groups (20F16) Periodic groups; locally finite groups (20F50) Generalizations of solvable and nilpotent groups (20F19) Automorphisms of infinite groups (20E36) Local properties of groups (20E25)

Cites Work

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• Periodic subsemigroups of endomorphism monoids.
• Periodic endomorphisms of polycyclic groups.
• Almost fixed-point-free automorphisms of prime order.

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