The Primitive Distance-Transitive Representations of the Fischer Groups
نویسندگان
چکیده
منابع مشابه
The Primitive Distance-Transitive Representations of the Fischer Groups
Research partly funded by the DFG (Germany) in the framework of the joint research project \Algorithmic Number Theory and Algebra", and also by the European Community HCM grant in \Computational Group Theory". We classify the primitive distance-transitive representations of the Fischer sporadic simple groups and their automorphism groups. It turns out that the only primitive distance-transitive...
متن کاملFinite primitive distance-transitive graphs
The status of the project of classifying finite primitive distance-transitive graphs is surveyed. Particular attention is given to the structure of the proof of the recently obtained classification of finite primitive affine distance-transitive graphs. © 2005 Elsevier Ltd. All rights reserved.
متن کاملAffine Distance-transitive Groups
A fruitful way of studying groups is by means of their actions on graphs. A very special and interesting class of groups are the ones acting distance-transitively on some graph. A group G acting on a connected graph F = (VT, ET) is said to act distance-transitively if its action on each of the sets {(x, y)\ x, y e VT, d(x, y) = i} is transitive. Here VT and ET stand for the vertices and edges o...
متن کاملPermutations Which Make Transitive Groups Primitive
In this article we look into characterizing primitive groups in the following way. Given a primitive group we single out a subset of its generators such that these generators alone (the so-called primitive generators) imply the group is primitive. The remaining generators ensure transitivity or comply with specific features of the group. We show that, other than the symmetric and alternating gr...
متن کاملFlag-transitive Point-primitive symmetric designs and three dimensional projective special linear groups
The main aim of this article is to study (v,k,λ)-symmetric designs admitting a flag-transitive and point-primitive automorphism group G whose socle is PSL(3,q). We indeed show that the only possible design satisfying these conditions is a Desarguesian projective plane PG(2,q) and G > PSL(3,q).
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: Experimental Mathematics
سال: 1995
ISSN: 1058-6458,1944-950X
DOI: 10.1080/10586458.1995.10504324