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  • Further restrictions on the structure of finite DCI-groups : an addendum
    Dobson, Edward Tauscher, 1965- ; Morris, Joy ; Spiga, Pablo
    A finite group ▫$R$▫ is a DCI-group if, whenever ▫$S$▫ and ▫$T$▫ are subsets of ▫$R$▫ with the Cayley digraphs ▫${\mathrm {Cay}}(R, S)$▫ and▫ ${\mathrm{Cay}}(R, T)$▫ isomorphic, there exists an ... automorphism ▫$\varphi$▫ of ▫$R$▫ with ▫$S^\varphi = T$▫. The classification of DCI-groups is an open problem in the theory of Cayley digraphs and is closely related to the isomorphism problem for digraphs. This paper is a contribution toward this classification, as we show that every dihedral group of order ▫$6p$▫, with ▫$p\geq 5$▫ prime, is a DCI-group. This corrects and completes the proof of C. H. Li et al. [J. Algebr. Comb. 26, No. 2, 161--181 (2007), Theorem 1.1] as observed by the reviewer (Conder in Mathematical Reviews MR2335710).
    Source: Journal of algebraic combinatorics. - ISSN 0925-9899 (Vol. 42, iss. 4, Dec. 2015, str. 959-969)
    Type of material - article, component part ; adult, serious
    Publish date - 2015
    Language - english
    COBISS.SI-ID - 1538038980

    Link(s):

    http://link.springer.com/article/10.1007/s10801-015-0612-3
    Repository of University of Primorska - RUP
    DOI

source: Journal of algebraic combinatorics. - ISSN 0925-9899 (Vol. 42, iss. 4, Dec. 2015, str. 959-969)
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