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Centraliser near-rings determined by fixed point free automorphism groups
Published online by Cambridge University Press: 14 November 2011
Synopsis
Let G be a group and let A be a fixed point free group of automorphisms of G. It is shown that the centraliser near-ring MA(G) has at most one nontrivial ideal. Conditions on the pair (A, G) are given which force MA(G) to be simple. It is shown that if a nonsimple near-ring MA(G) exists, then A and G have unusual properties.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 107 , Issue 3-4 , 1987 , pp. 327 - 337
- Copyright
- Copyright © Royal Society of Edinburgh 1987
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