References
R. Baer, Gruppen mit Minimalbedingung. Math. Ann.150, 1–44 (1963).
G. Baumslag, Wreath products andp-groups. Proc. Cambridge Philos. Soc.55, 224–231 (1959).
G. Baumslag andN. Blackburn, Groups with cyclic upper central factors. Proc. London Math. Soc., III. Ser.10, 531–544 (1960).
L.Fuchs, Abelian groups. Budapest 1958.
M.Hall, Jr., The theory of groups. New York 1951.
K. A. Hirsch, Über lokal-nilpotente Gruppen. Math. Z.63, 290–294 (1955).
K. Iwasawa, Über die Struktur der endlichen Gruppen, deren echte Untergruppen sämtlich nilpotent sind. Proc. Phys.-Math. Soc. Japan23, 1–4 (1941).
L. G.Kovács, Groups with automorphisms of special kinds. Ph. D. thesis, University of Manchester 1961.
A. G.Kurosh, The theory of groups. New York 1955.
D. H. McLain, On locally nilpotent groups. Proc. Cambridge Philos. Soc.52, 5–11 (1956).
B. H. Neumann, Ascending verbal and Frattini series. Math. Z.69, 164–172 (1958).
B. H. Neumann, Some remarks on infinite groups, J. London Math. Soc.12, 120–127 (1937).
L. Rédei, Die endlichen einstufig nichtnilpotenten Gruppen. Publ. Math. Debrecen4, 130–138 (1956).
O. Yu. Schmidt, Groups all of whose subgroups are nilpotent. Mat. Sbornik31, 366–372 (1924) (Russian).
N. F. Sesekin andO. S. Shirokovskaya, On a class of bigraded groups. Mat. Sbornik46, 133–142 (1958) (Russian)
M. E. Zel'manzon, Groups in which all subgroups are cyclic. Uspechi Mat. Nauk16, 109 to 113 (1961) (Russian).
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Newman, M.F., Wiegold, J. Groups with many nilpotent subgroups. Arch. Math 15, 241–250 (1964). https://doi.org/10.1007/BF01589192
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DOI: https://doi.org/10.1007/BF01589192