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Groups with the Same Prime Graph as the Simple Group D n (5)

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Ukrainian Mathematical Journal Aims and scope

Let G be a finite group. The prime graph of G is denoted by Γ(G). Let G be a finite group such that Γ(G) = Γ(D n (5)), where n ≥ 6. In the paper, as the main result, we show that if n is odd, then G is recognizable by the prime graph and if n is even, then G is quasirecognizable by the prime graph.

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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 66, No. 5, pp. 598–608, May, 2014.

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Babai, A., Khosravi, B. Groups with the Same Prime Graph as the Simple Group D n (5). Ukr Math J 66, 666–677 (2014). https://doi.org/10.1007/s11253-014-0963-2

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  • DOI: https://doi.org/10.1007/s11253-014-0963-2

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