| Title: | Bounding s for vertex-primitive s-arc-transitive digraphs of alternating and symmetric groups |
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| Authors: | ID Chen, Junyan (Author)
ID Chen, Lei (Author)
ID Giudici, Michael (Author)
ID Li, Jing Jian (Author)
ID Praeger, Cheryl E. (Author)
ID Xia, Binzhou (Author) |
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| Files: |  AMC_Junyan_Chen,Lei_Chen,Giudici,Li,Praeger,Xia_2025.pdf (397,42 KB)
MD5: C2CE008FC9E9942B21734CD3B119DCDC
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| Language: | English |
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| Work type: | Article |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | ZUP - University of Primorska Press
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| Abstract: | Determining an upper bound on s for finite vertex-primitive s-arc-transitive digraphs has received considerable attention dating back to a question of Praeger in 1990. It was shown by Giudici and Xia that the smallest upper bound on s is attained for some digraph admitting an almost simple s-arc-transitive group. In this paper, based on the work of Pan, Wu and Yin, we prove that s<=2 in the case where the group is an alternating or symmetric group. |
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| Keywords: | digraph, vertex-primitive, s-arc-transitive, alternating group, symmetric group |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Publication date: | 18.07.2025 |
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| Publisher: | Založba Univerze na Primorskem |
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| Year of publishing: | 2025 |
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| Number of pages: | 15 str. |
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| Numbering: | Vol. 25, no. 4, [article no.] P4.01 |
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| PID: | 20.500.12556/RUP-22015  |
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| UDC: | 51 |
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| eISSN: | 1855-3974 |
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| DOI: | https://doi.org/10.26493/1855-3974.3325.5e3 |
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| Publication date in RUP: | 22.10.2025 |
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| Views: | 281 |
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| Downloads: | 1 |
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