浙江大学学报(理学版)2009,Vol.36Issue(6):613-615,3.DOI:10.3785/j.issn.1008-9497.2009.06.002
一类2-(v,k,1)设计的可解区传递自同构群
Soluble block-transitive automorphism groups of a class 2-(v,k,1) designs
摘要
Abstract
Let G be a soluble block-transitive automorphism group of a 2- ( v,k,1) design and k≥3.If v> (k(k-1)/2-1)~2, then v=p",where p is a prime number and n is a positive integer.Furthermore,if n=tq'r',where q and r are two different odd primes and s and t are two positive integers,G is flag-transitive or G≤AFL(1,p").关键词
设计/本原因子/区传递/自同构/可解群Key words
design/primitive divisor/block-transitive/automorphism/soluble group分类
数理科学引用本文复制引用
李恒荣,刘伟俊..一类2-(v,k,1)设计的可解区传递自同构群[J].浙江大学学报(理学版),2009,36(6):613-615,3.基金项目
国家自然科学基金资助项目(10871205). (10871205)