4-Dimensional Elation Laguerre Planes Admitting Non-Solvable Automorphism Groups |
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Authors: | Günter F Steinke |
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Institution: | (1) University of Canterbury, Christchurch, New Zealand, NZ |
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Abstract: | This paper concerns 4-dimensional (topological locally compact connected) elation Laguerre planes that admit non-solvable
automorphism groups. It is shown that such a plane is either semi-classical or a single plane admitting the group SL(2, ). Various characterizations of this single Laguerre plane are obtained.
Received October 17 2000; in revised form April 23 2001 Published online August 5, 2002 |
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Keywords: | 2000 Mathematics Subject Classification: 51H15 |
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