Let V be a d-dimensional vector space over a field of prime order p. We classify the affine transformations of V of order at least pd/4, and apply this classification to determine the finite primitive permutation groups of affine type, and of degree n, that contain a permutation of order at least n/4. Using this result we obtain a classification of finite primitive permutation groups of affine type containing a permutation with at most four cycles.

Guest, S., Morris, J., Praeger, C., Spiga, P. (2015). Affine transformations of finite vector spaces with large orders or few cycles. JOURNAL OF PURE AND APPLIED ALGEBRA, 219(2), 308-330 [10.1016/j.jpaa.2014.04.023].

Affine transformations of finite vector spaces with large orders or few cycles

Spiga, P.
2015

Abstract

Let V be a d-dimensional vector space over a field of prime order p. We classify the affine transformations of V of order at least pd/4, and apply this classification to determine the finite primitive permutation groups of affine type, and of degree n, that contain a permutation of order at least n/4. Using this result we obtain a classification of finite primitive permutation groups of affine type containing a permutation with at most four cycles.
Articolo in rivista - Articolo scientifico
Algebra and Number Theory
English
308
330
23
Guest, S., Morris, J., Praeger, C., Spiga, P. (2015). Affine transformations of finite vector spaces with large orders or few cycles. JOURNAL OF PURE AND APPLIED ALGEBRA, 219(2), 308-330 [10.1016/j.jpaa.2014.04.023].
Guest, S; Morris, J; Praeger, C; Spiga, P
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/133248
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