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Meromorphic products determining near-fields

Part of: Structure and classification of infinite or finite groups Generalizations of fields

Published online by Cambridge University Press:  09 April 2009

Peter Fuchs  and
C. J. Maxson
Peter Fuchs
Affiliation:
Department of Mathematics, Texas A & M University, College Station, Texas 77843, U.S.A.
C. J. Maxson
Affiliation:
Department of Mathematics, Texas A & M University, College Station, Texas 77843, U.S.A.
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Abstract

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In this paper we continue our investigations of a construction method for subnear-rings of M(G) proposed by H. Wielandt. For a meromorphic product H, H ⊂ Gk, G finite, we obtain necessary and sufficient conditions for M(G, k, H) to be a near-field.

MSC classification

Secondary: 12K05: Near-fields 20E10: Quasivarieties and varieties of groups
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 46 , Issue 3 , June 1989 , pp. 365 - 370
Copyright
Copyright © Australian Mathematical Society 1989

References

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