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].
Citazione: | 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]. | |
Tipo: | Articolo in rivista - Articolo scientifico | |
Carattere della pubblicazione: | Scientifica | |
Presenza di un coautore afferente ad Istituzioni straniere: | Si | |
Titolo: | Affine transformations of finite vector spaces with large orders or few cycles | |
Autori: | Guest, S; Morris, J; Praeger, C; Spiga, P | |
Autori: | SPIGA, PABLO (Corresponding) | |
Data di pubblicazione: | 2015 | |
Lingua: | English | |
Rivista: | JOURNAL OF PURE AND APPLIED ALGEBRA | |
Digital Object Identifier (DOI): | http://dx.doi.org/10.1016/j.jpaa.2014.04.023 | |
Appare nelle tipologie: | 01 - Articolo su rivista |
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