Automorphism Groups of DesignsWilliam M. KantorFrom a geometric point of view, the most interesting designs (see w 2 for definitions) are generally those admitting fairly large automorphism groups. The methods of finite permutation groups may be applied to such designs, and vice versa, as in [...
Block transitive automorphism groups of 2-(ν, k, 1) block designs 1989, Journal of Combinatorial Theory, Series A more Alan Camina, Johannes Siemons Block transitive automorphism groups of 2-(ν, k, 1) block designs Journal of Combinatorial Theory, Series A, Volume 51, Issue 2, July 1989...
Presenting sporadic simple groups as automorphism group of designs and graphs is an exciting field in simple group theory. In this paper, we present five simple 3-designs with Janko sporadic group J2 automorphism. Also, we classify all block-transitive self-orthogonal designs and block-transitive ...
Solvable Block-Transitive Automorphism Groups of 2−(v, k, 1) Designs Let k⩾3 be a fixed positive integer and (G, D) be a pair, where D is a 2−(v, k, 1) design and G is a group of automorphisms of D such that G... LW Liu - 《Journal of Combinatorial Theory》 被引...
1.The Construction of Group G with Automorphism Group A(G) of Order 2p自同构群A(G)的阶为2p的群G的结构 2.LA-Group and the Stractore of Auto-Morphism Groups of Some Special p-Groups;若干LA-群及一类特殊P-群自同构群的结构 3.The order of the automorphism group of finite abelian group有...
It is interesting to note that each of these designs has an automorphism of order 3. These 16 designs are presented along with their groups and other invariants. In particular, we determine and tabulate substructures for each of the ... ES Kramer,SS Magliveras,R Mathon - 《Discrete Mathemati...
Solvable block-transitive automorphism groups of 2-(v, k, 1) designs 机译:2-(v,k,1)个设计的可解块传递自同构群 获取原文 获取原文并翻译 | 示例 获取外文期刊封面目录资料 开具论文收录证明 >> 页面导航 摘要 著录项 相似文献 相关主题 摘要 Let k greater than or equal to 3 be a fixed ...
Up to isomorphism there are twenty-two symmetric (70,24,8) designs having automorphism group isomorphic to Frob 21 ×Z 2 . Among them there are four self-dual, and nine pairs of dual designs. Full automorphism groups of those designs are isomorphic to Frob 21 ×Z 2 . Designs are constru...
Parameters of 2-Designs from Some BCH Codes It was also proven that the automorphism groups of the extended codes of the narrow-sense primitive BCH codes over finite fields are doubly transitive and... C Ding,Z Zhou - International Conference on Codes 被引量: 4发表: 2017年 On Infinite Fami...
Simple 3-(q+1, 5, 3) designs admitting an automorphism group PSL(2, q) with q equivalent to 1 (mod 4)In this paper, we give the necessary ... Li,Weixia,Deng,... - Ars Combinatoria: An Australian-Canadian Journal of Combinatorics ...