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Communications in Algebra Volume 50, 2022 - Issue 11
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Articles

Some finite p-groups whose normal subgroups are characteristic

Zeinab KowsariDepartment of Mathematics, Faculty of Mathematical Sciences and Computer, Kharazmi University, Tehran, Iran
,
Shirin FouladiDepartment of Mathematics, Faculty of Mathematical Sciences and Computer, Kharazmi University, Tehran, IranCorrespondence[email protected]
&
Reza OrfiDepartment of Mathematics, Faculty of Mathematical Sciences and Computer, Kharazmi University, Tehran, Iran
Pages 4577-4583 | Received 16 Aug 2021, Accepted 23 Feb 2022, Published online: 28 Jun 2022

References

  • Berkovich, Y. (2008). Groups of Prime Power Order, Vol. 1, Berlin: Walter de Gruyter.
  • Berkovich, Y., Janko, Z. (2019). Further research problems and theorems on prime power groups. Glas. Mat. Ser. III. 54(1):77–132. DOI: 10.3336/gm.54.1.06.
  • Bidwell, J. N. S., Curran, M. J. (2006). The automorphism group of a split metacyclic p-group. Arch. Math. 87(6):488–497. DOI: 10.1007/s00013-006-1899-z.
  • Blackburn, N. (1958). On a special class of p-groups. Acta Math. 100(1–2):45–92. DOI: 10.1007/BF02559602.
  • Curran, M. J. (1988). Automorphisms of certain p-groups (p odd.) Bull. Austral. Math. Soc. 38(2):299–305. DOI: 10.1017/S000497270002757X.
  • Curran, M. J. (2007). The automorphism group of a split metacyclic 2-group. Arch. Math. 89(1):10–23. DOI: 10.1007/s00013-007-2107-5.
  • Fouladi, S., Orfi, R. (2008). Automorphisms of metabelian prime power order groups of maximal class. Bull. Aust. Math. Soc. 77(2):261–276. DOI: 10.1017/S0004972708000257.
  • The GAP Group. (2019). GAP – Groups, Algorithms, and Programming, Version 4.10.2, http://www.gap-system.org.
  • Heineken, H. (1979). Nilpotente Gruppen, deren sämtliche Normalteiler charakteristisch sind. Arch. Math. 33(1):497–503. DOI: 10.1007/BF01222792.
  • James, R. (1980). The groups of order p6 (p an odd prime.) Math. Comput. 34(150):613–637. DOI: 10.2307/2006106.
  • Leedham-Green, C. R., Mckay, S. (2002). The Structure of Groups of Prime Power Order. Oxford: Oxford University Press.
  • Verardi, L. (1985). A class of finite groups of exponent p in which every normal subgroup is characteristic. Boll. Un. Mat. Ital. (6). 4-B(1):307–317.
  • Wilkens, B. (2009). p-Groups without noncharacteristic normal subgroups. Isr. J. Math. 172(1):357–369. DOI: 10.1007/s11856-009-0078-x.

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