We study two classes of 2-generated nilpotent groups of nilpotency class 2 and compute the order of their automorphism groups.
Similar content being viewed by others
References
Jamali, “Some new non-abelian 2-groups with abelian automorphism groups,” J. Group Theory, 5, No. 1, 53–57 (2002).
J. N. S. Bidwell and M. J. Curran, “The automorphism group of a split metacyclic p-group,” Arch. Math., 87, No. 6, 488–497 (2006).
GAP–Groups, Algorithms, Programming, Version 4.4, AutPGroup and Small Groups Packages,http://www.gap-system.org.
D. L. Johnson, Presentations of Groups, Cambridge University Press, Cambridge (1977).
C. M. Campbell, P. P.Campel, H. Doostie, and E. F. Robertson, “Fibonacci length for metacyclic groups,” Algebra Colloq., 215–222 (2004).
C. M. Campbell and E. F. Robertson, “On a group presentation due to Fox,” Can. Math. Bull., 19, 247–248 (1976).
H. Doostie and M. Hashemi, “Fibonacci lengths involving the Wall number k(n),” J. Appl. Math. Comput., 20, No. 1–2, 171–180 (2006).
D. J. S. Robinson, A Course in the Theory of Groups, Springer, New York (1982).
Author information
Authors and Affiliations
Additional information
Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 61, No. 12, pp. 1704 – 1712, December, 2009.
Rights and permissions
About this article
Cite this article
Hashemi, M. On the automorphism of some classes of groups. Ukr Math J 61, 1995–2007 (2009). https://doi.org/10.1007/s11253-010-0326-6
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11253-010-0326-6