• AN IDENTIFICATION OF S6(2)
Abstract
Let be a group and be the set of element orders of . Let and be the number of elements of order in . Let= {｜}. In Khatami et al and Liu, the authors proved that and are unique determined by . In this note, we prove that if is a group such that =, where is the projective sympletic group of degree 6 over fields of order 2, then .
Keywords
Element order, Unitary group, Thompson' problem, Number of elements of the same order.
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