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Partitioned groups and the additive structure of centralizer near-rings

Published online by Cambridge University Press:  20 January 2009

Martin R. Pettet
Affiliation:
Department of Mathematics, University of ToledoToledo, Ohio 43606
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If G is a finite group and A is a group of automorphisms of G, the “centralizer” nearring C(A, G) consists of the identity-preserving maps from G to itself which commute with the action of A. The main concern of this paper will be with the additive structur of C(A, G) in the case that this near-ring is semisimple.

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 1984

References

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