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In this paper, we characterize some PGL(2, q) by their orders and maximum element orders. We also prove that PSL(2, p) with p ≥ 3 a prime can be determined by their orders and maximum element orders. Moreover, we show that, in general, if q = pn with p a prime and n > 1, PGL(2, q) can not be uniquely determined by their orders and maximum element orders. Several known results are generalized.
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참고문헌 (29)
참고문헌 신청
A. V. Vasil’ev / 2009 / Characterization of the finite simple groups by spectra and order / Algebra and Logic 48 : 385 ~ 409
B. Huppert / 1967 / Endliche Gruppen I / Springer-Verlag
G. Y. Chen / 1992 / On Thompson’s cconjecture for sporadic simple groups / Proc. China Assoc. Sci. and Tech. First Academic Annual Meeting of Youths, Chinese Sci. and Tech : 1 ~ 6
G. Y. Chen / 1996 / A new characterization of sporadic simple groups / Algebra Colloq 3 (1) : 49 ~ 58
G. Y. Chen / 1996 / On Thompson’s conjecture / J. Algebra 185 (1) : 184 ~ 193
B. Huppert / 1967 / Endliche Gruppen I / Springer-Verlag
G. Y. Chen / 1992 / On Thompson’s cconjecture for sporadic simple groups / Proc. China Assoc. Sci. and Tech. First Academic Annual Meeting of Youths, Chinese Sci. and Tech : 1 ~ 6
G. Y. Chen / 1996 / A new characterization of sporadic simple groups / Algebra Colloq 3 (1) : 49 ~ 58
G. Y. Chen / 1996 / On Thompson’s conjecture / J. Algebra 185 (1) : 184 ~ 193
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