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Communications in Algebra Volume 46, 2018 - Issue 3
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Original Articles

A note on the conjugacy classes of non-cyclic subgroups

Wei MengCollege of Applied Sciences, Beijing University of Technology, Beijing, P. R. China;School of Mathematics and Computer Sciences, Yunnan Minzu University, Kunming, Yunnan, P. R. ChinaCorrespondence[email protected]
,
Hailou YaoCollege of Applied Sciences, Beijing University of Technology, Beijing, P. R. China
&
Li MaSchool of Mathematics and Statistics, Qujing Normal University, Qujing, Yunnan, P. R. China
Pages 1252-1258 | Received 04 Mar 2016, Published online: 11 Aug 2017

References

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  • Janko, Z. (1962). Endliche Gruppen mit lauter nilpotenten zweitmaximalen Untergruppen. Math. Z. 79:422–424.
  • Li, S. R., Zhao, X. B. (2007). Finite groups with few non-cyclic subgroups. J. Group Theory 10:225–233.
  • Meng, W., Lu, J. K., Li, S. R. (2013). Finite groups with few non-cyclic subgroups II. Algebra Coll. 20:81–88.
  • Meng, W., Li, S. R. (2014). Finite groups with few conjugacy classes of non-cyclic subgroups. Scientia Sin. Math. 44:939–944.
  • Miller, G. A., Moreno, H. C. (1903). Non-abelian groups in which every subgroup is abelian. Trans. Amer. Math. Soc. 4:398–404.
  • Robinson, D. J. S. (1996). A Course in the Theory of Groups. 2nd ed. New York: Springer-Verlag.

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