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Articles

A note on a class of generalized nilpotent groups introduced by Bechtell and Doerk

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Pages 4142-4148 | Received 24 Oct 2019, Accepted 12 Apr 2020, Published online: 04 May 2020

References

  • Bechtell, H. (1965). Elementary Groups. Trans. Amer. Math. Soc. 114(2):355–362. DOI: 10.1090/S0002-9947-1965-0175967-3.
  • Doerk, K. (1994). Über endliche auflösbare Gruppen, die sich gegenüber der Frattinigruppe wie nilpotente Gruppen verhalten. J. Algebra 167(2):533–537.
  • Gaschütz, W. (1952). Zur Erweiterungstheorie der endlichen Gruppen. J. Reine Angew. Math. 190:93–107.
  • Gaschütz, W. (1953). Über die Φ-Untergruppe endlicher Gruppen. Math. Zeitschr. 58:160–170.
  • Hall, P. (1937). Complemented groups. J. London Math. Soc. s1-12(3):201–204. DOI: 10.1112/jlms/s1-12.2.201.
  • Isaacs, I. M. (2008). Finite Group Theory. Providence, RI: American Mathematical Society,
  • Rose, J. (1980). Frattini normal subgroups of finite groups. J. Reine Angew. Math. 316:83–98.
  • Scott, W. R. (1987). Group Theory. New York: Dover Publications Inc.

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