JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2015, Vol. 50 ›› Issue (12): 93-97.doi: 10.6040/j.issn.1671-9352.0.2014.502

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On the structures of groups of order p2q3 with non-Abelian Sylow subgroups

CHEN Song-liang1,2   

  1. 1. School of Mathematics and Computer Science, Guizhou Normal College, Guiyang 550018, Guizhou, China;
    2. Industrial Internet of Things Engineering Research Center, Higher Education Institutions of Guizhou Province, Guiyang 550018, Guizhou, China
  • Received:2014-11-10 Revised:2015-06-01 Online:2015-12-20 Published:2015-12-23

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Abstract: Let p, q be odd primes such that p>q, and G be groups of order p2q3 with non-Abelian Sylow q-subgroups. The isomorphic classification of G and their structures are determined with the help of local analysis of finite groups.

Key words: isomorphic classification, finite group, structure of group

CLC Number: 

  • O152.1
[1] 陈松良. 论Sylow p-子群循环的pnq3阶群的构造[J]. 东北师范大学学报:自然科学版,2013,45(2):35-38. CHEN Songliang. On the structures of groups of order pnq3 with cyclic Sylow p-subgroups[J]. Journal of Northeast Normal University: Natural Science Edition, 2013, 45(2): 35-38.
[2] 陈松良. 关于Sylow子群皆交换的p2q3阶群的构造[J]. 武汉大学学报:理学版,2013,59(3):295-300. CHEN Songliang. On the structures of groups of order p2q3 with Abelian Sylow subgroups[J]. Journal of Wuhan University: Natural Science Edition, 2013, 59(3):295-300.
[3] 徐明曜. 有限群导引:上册[M]. 北京:科学出版社,1999. XU Mingyao. Introduction to finite group: Vol. 1[M]. Beijing: Science Press, 1999.
[4] ROBINSON D J S. A course in the theory of groups[M]// Graduate Texts in Mathematics 80. New York: Springer-Verlag, 1982.
[5] KURZWEIL H, STELLMACHER B. The theory of finite groups[M]. New York: Springer-Verlag, 2004.
[6] HUPPERT B. Endliche gruppen I[M]. Berlin: Springer-Verlag, 1967.
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[3] LIU Xiao-Lei, WANG Yan-Ming. q-supplement in finite groups and its applications [J]. J4, 2009, 44(10): 87-90.
[4] YU Gui-hai,QU Hui . The dimension of the principle indecomposable module for the finite group of type C2 [J]. J4, 2008, 43(8): 69-71 .
[5] LIU Xiao-lei . On generalized c-normality of finite groups [J]. J4, 2008, 43(10): 18-20 .
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