Perfect Baer subplane partition and three-dimensional flag-transitive planes (Q5926310)
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scientific article; zbMATH DE number 1570993
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Perfect Baer subplane partition and three-dimensional flag-transitive planes |
scientific article; zbMATH DE number 1570993 |
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Perfect Baer subplane partition and three-dimensional flag-transitive planes (English)
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15 October 2001
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The authors classify, up to a number-theoretic (cyclotomic) conjecture, verified for all prime powers \(<200\), all odd order 3-dimensional flag-transitive planes whose translation complements contain a linear cyclic group acting regularly on the line at infinity. This is achieved via Baer subgeometry partitions, using linearized polynomials.
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3-dimensional flag-transitive planes
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Baer subgeometry partitions
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