A New Quantitative Characterization Of The Monster Group M And The Baby Monster Group B

Haixin  Ying; Zhangjia  Han; Huaguo  Shi

doi:10.24297/jam.v25i.9884

Authors

Haixin Ying College of Applied Mathematics, Chengdu University of Information Technology, Chengdu 610225, China
Zhangjia Han College of Applied Mathematics, Chengdu University of Information Technology, Chengdu 610225, China
Huaguo Shi Education faculty, Sichuan Vocational and Technical College, Suining 629000, China

DOI:

https://doi.org/10.24297/jam.v25i.9884

Keywords:

Order of Sylow subgroups, Order components, Finite Simple groups, Finite groups

Abstract

Assuming G is a finite group, π(G) is the set of prime factors of the order of G, and p_m is the largest element in π(G), and |S_pm (G)| denotes the order of the Sylow p_m-subgroups of G. In this paper, we will give a quantitative characterization of the Monster group M and the Baby Monster group B via the even-order components of the group and |S_{pm (}G)|.

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References

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