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《Journal of Southwest China Normal University(Natural Science)》 2003-01
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The Automorphism Groups of Certain Groups of Order pq~2

ZHANG Liangcai1,CHEN Guiyun1,CHEN Shunmin1,21Dept. of Mathematics, Southwest China Normal University, Chongqing 400715, China;2Dept. of Mathematics, YUXi University, Yongchuan Chongqing 402168, China  
The precise structure of the automorphism groups of groups of order pq2 is described, where p and q are odd primes and qp. That is, Aut(G) satisfies one of the following conditions: (1) |Aut(G1)|=q(q-1)(p-1), Aut(G1)Cp-1×Cq(q-1); (2) |Aut(G2)|=(q2-1)(q2-q)(p-1), Aut(G2)GL(2,q)×Cp-1; (3) |Aut(G3)|=pq(p-1), Aut(G3)Cq×Hol(Cp); (4) |Aut(G4)|=pq(p-1)(q-1), Aut(G4)Hol(Cp)×Hol(Cq); (5) |Aut(G5)|=p(p-1), Aut(G5)Hol(Cp).
【Fund】: 国家自然科学基金资助项目(10171074);; 教育部优秀年轻教师基金资助项目.
【CateGory Index】: O152.1
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