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On commutation semigroups of a group

Published online by Cambridge University Press:  09 April 2009

N. D. Gupta
N. D. Gupta
Affiliation:
Department of Mathematics Institute of Advanced Studies The Australian National UniversityCanberra
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Let G be a group. With each element a in G we associate the mappings ρ(a) and λ(a) of G into itself defined as follows, The product of mappings is defined as usual. Let P(G) and ∧(G) denote respectively the semigroups generated by the set of all ρ's and λ's. These semigroups will be called the commutation semigrowps of G.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 6 , Issue 1 , February 1966 , pp. 36 - 45
Copyright
Copyright © Australian Mathematical Society 1966