title: A characterization of some alternating groups A p+8 of degree p + 8 by OD.
abstract: Let [Formula: see text] be an alternating group of degree n. We know that [Formula: see text] is 2-fold OD-characterizable and [Formula: see text] is 6-fold OD-characterizable. In this note, we first show that [Formula: see text] and [Formula: see text] are 14-fold and 7-fold OD-characterizable, respectively, and second show that certain groups [Formula: see text] with that [Formula: see text] and [Formula: see text], are OD-characterizable. The first gives a negative answer to Open Problem of Kogani-Moghaddam and Moghaddamfar.
authors.affiliation: School of Science, Sichuan University of Science and Engineering, Xueyuan Street, Zigong, 643000 Sichuan People's Republic of China.
authors.forename: Shitian
authors.initials: S
authors.lastname: Liu
authors.affiliation: Sichuan Water Conservancy Vocational College, Chongzhou, Chengdu, 643000 Sichuan People's Republic of China.
authors.forename: Zhanghua
authors.initials: Z
authors.lastname: Zhang
keywords: Alternating group; Degree pattern; Element order; Prime graph; Simple group; Symmetric group