TY - JOUR

T1 - Affine transformations of finite vector spaces with large orders or few cycles

AU - Guest, S.

AU - Morris, J.

AU - Praeger, Cheryl

AU - Spiga, P.

PY - 2015/2

Y1 - 2015/2

N2 - © 2014 Elsevier B.V.. 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.

AB - © 2014 Elsevier B.V.. 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.

U2 - 10.1016/j.jpaa.2014.04.023

DO - 10.1016/j.jpaa.2014.04.023

M3 - Article

VL - 219

SP - 308

EP - 330

JO - Journal of Pure and Applied Algebra

JF - Journal of Pure and Applied Algebra

SN - 0022-4049

IS - 2

ER -