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In this paper we will prove that the groups Dp+1(2) and Dp+1(3), where p is an odd prime number, are uniquely determined by their sets of order components. A main consequence of our result is the validity of Thompson’s conjecture for the groups Dp+1(2) and Dp+1(3).
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참고문헌 (25)
참고문헌 신청
A. Iranmanesh / 2002 / A characterization of PSL(3, q) for q = 2m / Acta Math. Sin. (Engl. Ser.) 18 (3) : 463 ~ 472
A. Iranmanesh / 2002 / A characterization of PSL(3, q) where q is an odd prime power / J. Pure Appl. Algebra 170 (2) : 243 ~ 254
A. Iranmanesh / 2002 / A characterization of PSU3(q) for q > 5 / Southeast Asian Bull. Math. 26 (1) : 33 ~ 44
A. Khosravi / 2003 / A new characterization of some alternating and symmetric groups / Int. J. Math. Math. Sci. 2003 (45) : 2863 ~ 2872
A. Khosravi / 2004 / A new characterization of PSL(p, q) / Comm. Algebra 32 (6) : 2325 ~ 2339
A. Iranmanesh / 2002 / A characterization of PSL(3, q) where q is an odd prime power / J. Pure Appl. Algebra 170 (2) : 243 ~ 254
A. Iranmanesh / 2002 / A characterization of PSU3(q) for q > 5 / Southeast Asian Bull. Math. 26 (1) : 33 ~ 44
A. Khosravi / 2003 / A new characterization of some alternating and symmetric groups / Int. J. Math. Math. Sci. 2003 (45) : 2863 ~ 2872
A. Khosravi / 2004 / A new characterization of PSL(p, q) / Comm. Algebra 32 (6) : 2325 ~ 2339
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