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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

The order of a group of even order


Author: Hiroyoshi Yamaki
Journal: Proc. Amer. Math. Soc. 136 (2008), 397-402
MSC (2000): Primary 20D05, 20D06
DOI: https://doi.org/10.1090/S0002-9939-07-09118-6
Published electronically: October 25, 2007
MathSciNet review: 2358476
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Abstract: We will give an estimation of the order of a group of even order by the order of the centralizer of an involution using the classification of finite simple groups.


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Additional Information

Hiroyoshi Yamaki
Affiliation: Department of Mathematics, Kumamoto University, Kumamoto 860-8555 Japan
Address at time of publication: JICA, Maipu 1300, Piso 21, C1006ACT Buenos Aires, Argentina
Email: yamaki@gpo.kumamoto-u.ac.jp, yamaki.hiroyoshi@gmail.com

DOI: https://doi.org/10.1090/S0002-9939-07-09118-6
Keywords: Finite simple groups, centralizers of involutions
Received by editor(s): August 15, 2006
Published electronically: October 25, 2007
Additional Notes: The author was supported in part by Grant-in-Aid for Scientific Research (No. 16540030), Japan Society for the Promotion of Science
Communicated by: Jonathan I. Hall
Article copyright: © Copyright 2007 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.