منابع مشابه
On imprimitive rank 3 permutation groups
A classification is given of rank 3 group actions which are quasiprimitive but not primitive. There are two infinite families and a finite number of individual imprimitive examples. When combined with earlier work of Bannai, Kantor, Liebler, Liebeck and Saxl, this yields a classification of all quasiprimitive rank 3 permutation groups. Our classification is achieved by first classifying imprimi...
متن کاملImprimitive Permutation Groups
The O’Nan-Scott Theorem together with the Classification of the Finite Simple Groups is a powerful tool that give the structure of all primitive permutation groups, as well as their actions. This has allowed for the solution to many classical problems, and has opened the door to a deeper understanding of imprimitive permutation groups, as primitive permutation groups are the building blocks of ...
متن کاملImprimitive Symmetric Graphs
A finite graph Γ is said to be G-symmetric if G is a group of automorphisms of Γ acting transitively on the ordered pairs of adjacent vertices of Γ. In most cases, the group G acts imprimitively on the vertices of Γ, that is, the vertex set of Γ admits a nontrivial G-invariant partition B. The purpose of this thesis is to study such graphs, called imprimitive G-symmetric graphs. In the first pa...
متن کاملImprimitive flag-transitive symmetric designs
A recent paper of O’Reilly Regueiro obtained an explicit upper bound on the number of points of a flagtransitive, point-imprimitive, symmetric design in terms of the number of blocks containing two points. We improve that upper bound and give a complete list of feasible parameter sequences for such designs for which two points lie in at most ten blocks. Classifications are available for some of...
متن کاملImprimitive Q-polynomial Association Schemes
It is well known that imprimitive P -polynomial association schemes X = (X, {Ri}0≤i≤d) with k1 > 2 are either bipartite or antipodal, i.e., intersection numbers satisfy either ai = 0 for all i, or bi = cd−i for all i 6= [d/2]. In this paper, we show that imprimitiveQ-polynomial association schemesX = (X, {Ri}0≤i≤d) with d > 6 and k∗ 1 > 2 are either dual bipartite or dual antipodal, i.e., dual ...
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 Designs
سال: 2021
ISSN: 1063-8539,1520-6610
DOI: 10.1002/jcd.21784