Centraliser near-rings determined by fixed point free automorphism groups

DOI10.1017/S030821050003119XzbMath0642.16032OpenAlexW2165860079MaRDI QIDQ3784282

Martin R. Pettet, P. R. Fuchs, Carlton J. Maxson, Kirby C. Smith

Publication date: 1987

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s030821050003119x

zbMATH Keywords

simplicitycentralizer near-ringfixed point free group of automorphismsnumber of A-orbits

Mathematics Subject Classification ID

Near-rings (16Y30) Automorphisms of infinite groups (20E36) Infinite-dimensional simple rings (except as in 16Kxx) (16D30) Infinite automorphism groups (20B27) Division rings and semisimple Artin rings (16Kxx)

Related Items (2)

Centralizer near-rings determined by unions of groups ⋮ Localness of the centralizer nearring determined by \(\text{End }G\)

Cites Work

• The centralizer of a set of group automorphisms
• The simplicity of near-rings of mappings

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