Extremely primitive groups and linear spaces

نویسندگان

چکیده

Abstract A finite non-regular primitive permutation group G is extremely if a point stabiliser acts primitively on each of its nontrivial orbits. Such groups have been studied for almost century, finding various applications. The classification was recently completed by Burness and Lee, who relied an earlier soluble Mann, Praeger Seress. Unfortunately, there inaccuracy in the latter classification. We correct this mistake, also investigate regular linear spaces which admit automorphisms that are points.

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ژورنال

عنوان ژورنال: Designs, Codes and Cryptography

سال: 2023

ISSN: ['0925-1022', '1573-7586']

DOI: https://doi.org/10.1007/s10623-023-01244-2