Quasifields with irreducible nuclei

This article considers finite quasifields having a subgroup N of either the right or middle nucleus of Q which acts irreducibly as a group of linear transformations on Q as a vector space over its kernel. It is shown that Q is a generalized André system, an irregular nearfield, a Lüneburg exceptiona...

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Bibliographic Details
Main Author: Michael J. Kallaher
Format: Article
Language:English
Published: Hindawi Limited 1984-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S016117128400034X