OD-Characterization of alternating and symmetric groups of degree p + 5

Abstract

In this paper, it is proved that all the alternating groups A _p+5 are OD-characterizable and the symmetric groups S _p+5 are 3-fold OD-characterizable, where p+4 is a composite number and p + 6 is a prime and 5 ≠ p ∈ π(1000!).

Keywords

Prime graph / Degree pattern / Degree of a vertex / Finite simple groups / Alternating and symmetric groups

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