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The sub-near-field structure of finite near-fields

Published online by Cambridge University Press:  17 April 2009

Susan Dancs
Susan Dancs
Affiliation:
Institute of Advanced Studies, Australian National University, Canberra, ACT.
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Abstract

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The sub-near-field structure of finite near-fields is analogous to the sub-field structure of finite fields. A finite near-field of order pln contains a unique sub-near-field of order pλ if and only if λ divides ln.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 5 , Issue 2 , October 1971 , pp. 275 - 280
Copyright
Copyright © Australian Mathematical Society 1971

References

[1]Dancs, Susan, “On finite Dickson near fields”, Abh. Math. Sem. Univ. Hamburg (submitted).Google Scholar
[2]Ellers, Erich und Karzel, Helmut, “Endliche Inzidenzgruppen”, Abh. Math. Sem. Univ. Hamburg 27 (1964), 250–264.CrossRefGoogle Scholar
[3]Hall, Marshall Jr, The theory of groups (The Macmillan Company, New York, 1959).Google Scholar
[4]Zassenhaus, Hans, “über endliche Fastkörper”, Abh. Math. Sem. Hansisch. Univ. 11 (1936), 187–220.CrossRefGoogle Scholar