A New Characterization of A₁₀ by its Noncommuting Graph

REFERENCES

• Abdollahi , A. , Akbari , S. , Maimani , H. R. ( 2006 ). Non-commuting graph of a group . J. Algebra 298 : 468 – 492 .
   Web of Science ®Google Scholar
• Bertram , E. A. , Herzog , M. , Mann , A. ( 1990 ). On a graph related to conjugacy classes of groups . Bull. London Math. Soc. 22 : 569 – 575 .
   Web of Science ®Google Scholar
• Chen , G. Y. ( 1992 ). On Thompson's Conjecture–for Sporadic Groups (in Chinese) , Proc. China Assoc. Sci. and Tech. First Academic Meeting of Youths . Beijing : Chinese Sci. and Tech. Press , pp. 1 – 6 .
   Google Scholar
• Chen , G. Y. ( 1994 ). On Thompson's Conjecture . Ph.D. thesis of Sichuan Univ., Chengdu, July .
   Google Scholar
• Chen , G. Y. ( 1996 ). On Thompson's conjecture . J. Algebra 185 : 184 – 193 .
   Web of Science ®Google Scholar
• Chen , G. Y. ( 1999 ). Further reflections on Thompson's conjecture . J. Algebra 218 : 276 – 285 .
   Web of Science ®Google Scholar
• Conway , J. H. , Curtis , R. T. , et al. . ( 1985 ). Atlas of Finite Groups . Oxford : Clarendon Press .
   Google Scholar
• Moghaddamfar , A. R. , Shi , W. J. , Zhou , W. , Zokayi , A. R. ( 2005 ). On the noncommuting graph associated with a finite group . Siberian Math. J. 46 ( 2 ): 325 – 332 .
   Web of Science ®Google Scholar
• Shi , W. J. ( 1993 ). The order of finite simple groups . Chinese Science Bulletin 38 ( 4 ): 296 – 298 .
   Google Scholar
• Williams , J. S. ( 1981 ). Prime graph components of finite groups . J. Algebra 69 : 487 – 513 .
   Web of Science ®Google Scholar
• Communicated by A. Yu. Olshanskii.
   Google Scholar