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A note on flag transitive planes of order 27. (English) Zbl 0703.51011

The authors show that one of the three known flag-transitive affine planes of order 27 can be obtained from one of the others by replacement of a net of degree 14. [The planes involved are not the ones due to F. Hering, Abh. Math. Semin. Univ. Hamb. 34, 203-208 (1970; Zbl 0195.502)].
Reviewer: A.Rahilly

MSC:

51E15 Finite affine and projective planes (geometric aspects)
51E14 Finite partial geometries (general), nets, partial spreads

Citations:

Zbl 0195.502