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On Finite Line Transitive Affine Planes Whose Collineation Groups Contain no Baer Involutions

Published online by Cambridge University Press:  20 November 2018

Terry Czerwinski
Terry Czerwinski*
Affiliation:
University of Illinois at Chicago Circle, Chicago, Illinois
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A finite line transitive affine plane A is a finite plane which admits a collineation group G acting transitively on the set of all lines of A. Wagner [11] has shown that A is a translation plane and Hering [9] recently investigated the structure of A under the assumption that G has a composition factor isomorphic to a given nonabelian simple group. The purpose of this paper is to show that if the number of points on a line of A is odd, and if G contains no Baer involutions, then the hypothesis of Hering's Main Theorem holds.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 27 , Issue 2 , 01 April 1975 , pp. 225 - 230
Copyright
Copyright © Canadian Mathematical Society 1975

References

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