In this paper, we consider the action of the group PSL(2, g) on the finite projective line GF(q) boolean OR {infinity} when q is a prime power congruent to 1 modulo 4 and construct several simple 3-(q+1,5, lambda) designs admitting PS L(2, q) as an automorphism group. Most of these designs with the given parameter sets were previously unknown.
机构:
East China JiaoTong Univ, Sch Sci, Nanchang 330013, Jiangxi, Peoples R ChinaEast China JiaoTong Univ, Sch Sci, Nanchang 330013, Jiangxi, Peoples R China
Zhan, Xiaoqin
Ding, Suyun
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East China JiaoTong Univ, Sch Sci, Nanchang 330013, Jiangxi, Peoples R ChinaEast China JiaoTong Univ, Sch Sci, Nanchang 330013, Jiangxi, Peoples R China
Ding, Suyun
Bai, Shuyi
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East China JiaoTong Univ, Sch Sci, Nanchang 330013, Jiangxi, Peoples R ChinaEast China JiaoTong Univ, Sch Sci, Nanchang 330013, Jiangxi, Peoples R China
机构:
Henan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Henan, Peoples R ChinaHenan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Henan, Peoples R China
机构:
Cent S Univ, Sch Math & Stat, Changsha 410075, Hunan, Peoples R China
Hunan First Normal Univ, Dept Educ Sci, Changsha 410002, Hunan, Peoples R ChinaCent S Univ, Sch Math & Stat, Changsha 410075, Hunan, Peoples R China
Tang, Jianxiong
Liu, Weijun
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Cent S Univ, Sch Math & Stat, Changsha 410075, Hunan, Peoples R ChinaCent S Univ, Sch Math & Stat, Changsha 410075, Hunan, Peoples R China
Liu, Weijun
Wang, Jinhua
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Nantong Univ, Sch Sci, Nantong 226007, Jiangsu, Peoples R ChinaCent S Univ, Sch Math & Stat, Changsha 410075, Hunan, Peoples R China
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North West Univ Mafikeng, Sch Math & Phys Sci, Private Bag X2406, ZA-2735 Mmabatho, South AfricaNorth West Univ Mafikeng, Sch Math & Phys Sci, Private Bag X2406, ZA-2735 Mmabatho, South Africa