On Finite Linear Spaces with Almost Simple Flag-Transitive Automorphism Groups
نویسندگان
چکیده
منابع مشابه
Almost simple groups with Socle $G_2(q)$ acting on finite linear spaces
After the classification of the flag-transitive linear spaces, the attention has been turned to line-transitive linear spaces. In this article, we present a partial classification of the finite linear spaces $mathcal S$ on which an almost simple group $G$ with the socle $G_2(q)$ acts line-transitively.
متن کاملBiplanes with flag-transitive automorphism groups of almost simple type, with alternating or sporadic socle
In this paper we prove that there cannot be a biplane admitting a primitive, flagtransitive automorphism group of almost simple type, with alternating or sporadic socle.
متن کاملLine-transitive Automorphism Groups of Linear Spaces
In this paper we prove the following theorem. Let S be a linear space. Assume that S has an automorphism group G which is line-transitive and point-imprimitive with k < 9. Then S is one of the following:(a) A projective plane of order 4 or 7, (a) One of 2 linear spaces with v = 91 and k = 6, (b) One of 467 linear spaces with v = 729 and k = 8. In all cases the full automorphism group Aut(S) is ...
متن کاملalmost simple groups with socle $g_2(q)$ acting on finite linear spaces
after the classification of the flag-transitive linear spaces, the attention has been turned to line-transitive linear spaces. in this article, we present a partial classification of the finite linear spaces $mathcal s$ on which an almost simple group $g$ with the socle $g_2(q)$ acts line-transitively.
متن کاملFinite flag-transitive affine planes with a solvable automorphism group
In this paper, we consider finite flag-transitive affine planes with a solvable automorphism group. Under a mild number-theoretic condition involving the order and dimension of the plane, the translation complement must contain a linear cyclic subgroup that either is transitive or has two equal-sized orbits on the line at infinity. We develop a new approach to the study of such planes by associ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Combinatorial Theory, Series A
سال: 2002
ISSN: 0097-3165
DOI: 10.1006/jcta.2002.3305