Original scientific paper

Bol quasifields

Tim Penttila ; School of Mathematical Sciences, The University of Adelaide, Adelaide, South Australia
Alessandro Siciliano ; Dipartimento di Matematica, Informatica ed Economia, Universit´a degli Studi della Basilicata, Via dell’ateneo Lucano, Potenza, Italy

Abstract

In the context of configurational characterisations of symmetric projective
planes, a new proof of a theorem of Kallaher and Ostrom characterising planes of even order of Lenz-Barlotti type IV.a.2 via Bol conditions is given. In contrast to their proof,we need neither the Feit-Thompson theorem on solvability of groups of odd order, nor Bender’s strongly embedded subgroup theorem, depending rather on Glauberman’s Z*-theorem.

Keywords

quasifield; nearfield; projective plane

Hrčak ID:

235528

URI

https://hrcak.srce.hr/235528

Publication date:

12.3.2020.

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