Is there any article that help me study automorphisms of nilpotent groups of class two with cyclic center? In "Odd order nilpotent groups of class two with cyclic centre, Y. K. Leong (1974)" there is a presentation of nilpotent groups of class two with cyclic center. How can I find the structure of automorphisms of these groups by using this presentations?
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$\begingroup$ Automorphisms of class 2 nilpotent groups with cyclic centers are not difficult to describe. For example, the case of Heisenberg groups is treated here: /www-users.math.umn.edu/~garrett/m/repns/notes_2014-15/… $\endgroup$– user6976Commented Nov 27, 2017 at 3:29
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Khukhro has two books on automorphisms. They might be helpful.
Khukhro, E. I. p-automorphisms of finite p-groups. London Mathematical Society Lecture Note Series, 246. Cambridge University Press, Cambridge, 1998. xviii+204 pp. ISBN: 0-521-59717-X
Khukhro, Evgenii I. Nilpotent groups and their automorphisms. De Gruyter Expositions in Mathematics, 8. Walter de Gruyter & Co., Berlin, 1993. xiv+252 pp. ISBN: 3-11-013672-4
answered Nov 26, 2017 at 13:51