Generalized permutation characters of solvable groups
نویسندگان
چکیده
منابع مشابه
On solvable minimally transitive permutation groups
We investigate properties of finite transitive permutation groups (G, Ω) in which all proper subgroups of G act intransitively on Ω. In particular, we are interested in reduction theorems for minimally transitive representations of solvable groups.
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A base of a permutation group G is a sequence B of points from the permutation domain such that only the identity of G fixes B pointwise. Answering a question of Pyber, we prove that all primitive solvable permutation groups have a base of size at most four.
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Let G = 〈S〉 be a solvable permutation group of the symmetric group Sn given as input by the generating set S. We give a deterministic polynomial-time algorithm that computes an expanding generating set of size Õ(n) for G. More precisely, the algorithm computes a subset T ⊂ G of size Õ(n)(1/λ) such that the undirected Cayley graph Cay(G, T ) is a λ-spectral expander (the Õ notation suppresses lo...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 1985
ISSN: 0021-8693
DOI: 10.1016/0021-8693(85)90170-x