We construct the first sharply 3-transitive groups not arising from a near field, i.e. point stabilizers have no nontrivial abelian normal subgroup. (C) 2015 Elsevier Inc. All rights reserved.
机构:
Univ Western Australia, Sch Math & Stat, 35 Stirling Highway, Crawley, WA 6009, AustraliaUniv Western Australia, Sch Math & Stat, 35 Stirling Highway, Crawley, WA 6009, Australia
Li, Cai-Heng
Praeger, Cheryl E.
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Univ Western Australia, Sch Math & Stat, 35 Stirling Highway, Crawley, WA 6009, AustraliaUniv Western Australia, Sch Math & Stat, 35 Stirling Highway, Crawley, WA 6009, Australia
Praeger, Cheryl E.
Schneider, Csaba
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Univ Fed Minas Gerais, Inst Ciencias Exatas, Dept Matemat, Ave Antonio Carlos 6627, Belo Horizonte, MG, BrazilUniv Western Australia, Sch Math & Stat, 35 Stirling Highway, Crawley, WA 6009, Australia
机构:
Waseda Univ, Grad Sch Fundamental Sci & Engn, Dept Pure & Appl Math, Tokyo, JapanWaseda Univ, Grad Sch Fundamental Sci & Engn, Dept Pure & Appl Math, Tokyo, Japan
Hashimoto, Kiichiro
Tsunogai, Hiroshi
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Sophia Univ, Fac Sci & Technol, Dept Math, Tokyo, JapanWaseda Univ, Grad Sch Fundamental Sci & Engn, Dept Pure & Appl Math, Tokyo, Japan
Tsunogai, Hiroshi
GALOIS-TEICHMUELLER THEORY AND ARITHMETIC GEOMETRY,
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机构:
South China Univ Technol, Sch Math, Guangzhou 510640, Guangdong, Peoples R ChinaSouth China Univ Technol, Sch Math, Guangzhou 510640, Guangdong, Peoples R China
Liang, Hongxue
Zhou, Shenglin
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South China Univ Technol, Sch Math, Guangzhou 510640, Guangdong, Peoples R ChinaSouth China Univ Technol, Sch Math, Guangzhou 510640, Guangdong, Peoples R China