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 -