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Baer-elation planes. (English) Zbl 0636.51005

The authors classify translation planes of even order q 2 and kernel GF(q) that admit an elation group of order q and a non-trivial Baer group or a Baer group of order q and a non-trivial elation group. Translation planes of the second sort with elations with at least two axes in the translation complement turn out to be the translation planes of Hall.
The results are based, among others, on earlier papers of the two authors [see J. Lond. Math. Soc., II. Ser. 32, 297-304 (1985; Zbl 0586.51009) and Eur. J. Comb. 7, 227-235 (1986; Zbl 0612.51002)].
Reviewer: H.Heineken

MSC:

51A40 Translation planes and spreads in linear incidence geometry
51E15 Finite affine and projective planes (geometric aspects)
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References:

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