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Article Information:
A Characterization of Sporadic Janko Group J1
Deqin Chen and Shitian Liu
Corresponding Author: Deqin Chen
Submitted: January 14, 2013
Accepted: March 02, 2013
Published: September 20, 2013 |
Abstract:
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Let G be a group and &omega(G) be the set of element orders of G. Let kє &omega(G) and sk be the number of elements of order k in G. Let nse (G) = {sk | k &omega(G)}. In Khatami et al. (2011) and Liu (2012c) the authors proved that L3(2) and L3(4) are unique determined by nse (G). In this study, we prove that if G is a group such that nse (G) = nse (J1), then G ≅ J1.
Key words: Element order, Janko group, Number of elements of the same order, Thompson' problem, , ,
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Cite this Reference:
Deqin Chen and Shitian Liu, . A Characterization of Sporadic Janko Group J1. Research Journal of Applied Sciences, Engineering and Technology, (17): 3161-3164.
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ISSN (Online): 2040-7467
ISSN (Print): 2040-7459 |
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