Semisymmetric cubic graphs of twice odd order

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Connected cubic graphs Gamma of twice odd order which admit an automorphism group acting semisytnmetrically are investigated. The structure of the automorphism group of Gamma modulo a subgroup which acts semiregularly on Gamma is determined. This identification is achieved by using the fundamental theorem of Goldschmidt [D.M. Goldschmidt. Automorphisms of trivalent graphs, Ann. of Math. (2) 111 (2) (1980) 377-406] and some small parts of the proof of the classification of the finite simple groups. (c) 2005 Elsevier Ltd. All rights reserved.
Original languageEnglish
Pages (from-to)572-591
Number of pages20
JournalEuropean Journal of Combinatorics
Issue number2
Publication statusPublished - 1 Jan 2005


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