In this paper we show that collineation groups of affine and projective spaces over the field of two elements GF (2), except in low dimensions, have regular sets. As an application of this result, we prove that, apart from a finite number of exceptions, any collineation group of affine and projective spaces over GF (2), is geometric. In the exceptional dimensions, all primitive groups are examined. © 1988 Birkhäuser Verlag.
DALLA VOLTA, F. (1988). Regular sets for the affine and projective groups over the field of two elements. JOURNAL OF GEOMETRY, 33(1-2), 17-26 [10.1007/BF01230600].
Regular sets for the affine and projective groups over the field of two elements
DALLA VOLTA, FRANCESCA
1988
Abstract
In this paper we show that collineation groups of affine and projective spaces over the field of two elements GF (2), except in low dimensions, have regular sets. As an application of this result, we prove that, apart from a finite number of exceptions, any collineation group of affine and projective spaces over GF (2), is geometric. In the exceptional dimensions, all primitive groups are examined. © 1988 Birkhäuser Verlag.
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