Hostname: page-component-586b7cd67f-t8hqh Total loading time: 0 Render date: 2024-11-26T03:20:30.909Z Has data issue: false hasContentIssue false

Commutation near-rings of a group

Published online by Cambridge University Press:  09 April 2009

N. D. Gupta
Affiliation:
The Australian National University Canberra
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Let G be a group and let Ω(G) denote the semigroup of all mappings of G into G with the usual composition of mappings as multiplication, namely g1θ22) = (gθ12.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1967

References

[1]Blackett, D. W., ‘Simple and semisimple near-rings’, Proc. Amer. Math. Soc. 4 (1953), 772785.CrossRefGoogle Scholar
[2]Gupta, N. D., ‘On commutation semigroups of a group’, J. Austral. Math. Soc. 6 (1966), 3645.CrossRefGoogle Scholar
[3]Heineken, Hermann, ‘Commutator closed groups’, Illinois J. Math. 9 (1965), 242255.CrossRefGoogle Scholar
[4]Heineken, Hermann, ‘Engelsche Elemente der Länge drei’, Illinois J. Math. 5 (1961), 681707.CrossRefGoogle Scholar
[5]Levin, Frank, ‘On some varieties of soluble groups’, Math. Zeitschr. 85 (1964), 369372.CrossRefGoogle Scholar
[6]Macdonald, I. D., ‘On certain varieties of groups’, Math. Zeitschr. 76 (1961), 270282.CrossRefGoogle Scholar