@article{Han2024, 
author = {Zhangjia Han and Jiang Hu and Dongyang He},
title = {A new characterization of Janko simple groups},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {4},
pages = {9587-9596},
keywords = {finite groups, simple groups, order components, centralizers, order},
url = {https://www.sciopen.com/article/10.3934/math.2024468},
doi = {10.3934/math.2024468},
abstract = {In this paper, we studied the influence of centralizers on the structure of groups, and demonstrated that Janko simple groups can be uniquely determined by two crucial quantitative properties: its even-order components of the group and the set        π                  p        m              (  G  ). Here,    G represents a finite group,    π  (  G  ) is the set of prime factors of the order of    G,        p    m   is the largest element in    π  (  G  ), and        π                  p        m              (  G  )  =  {      |        C    G    (  x  )      |              |            x    ∈    G   and        |    x      |    =      p    m    } denotes the set of orders of centralizers of        p    m  -order elements in    G.}
}