References
J. L. Alperin, Groups with finitely many automorphisms. Pacific J. Math.12, 1–5 (1962).
R. Baer, Finite extensions of abelian groups with minimum condition. Trans. Amer. Math. Soc.79, 521–540 (1955).
L. Fuchs, The existence of indecomposable abelian groups of arbitrary power. Acta Math. Acad. Sci. Hungar.10, 453–457 (1959).
J. de Groot, Indecomposable abelian groups. Proc. Nederl. Acad. Wet.60, 137–145 (1957).
J. T. Hallett andK. A. Hirsch, Torsion-free groups having finite automorphism groups. I. J. Algebra2, 287–298 (1965).
G. Higman, The units of group rings. Proc. London Math. Soc. (2)46, 231–248 (1940).
K. A. Hirsch andH. Zassenhaus, Finite automorphism groups of torsion-free groups. J. London Math. Soc.41, 545–549 (1966).
A. Hulanicki, Note on a paper of de Groot. Ned. Akad. Wetenschap. Proc. Ser. A., Indagationes Math.20, 114 (1958).
M. I. Kargapolov, Locally finite groups having normal systems with finite factors. Sibirsk Mat. Z.2, 853–873 (1961).
O. H.Kegel and B. A. F.Wehrfritz, Locally Finite Groups. Amsterdam 1973.
V. T. Nagrebeckii, On the periodic part of a group with a finite number of automorphisms. Dokl. Akad. Nauk. SSSR205, 519–521 (1972); Soviet Math. Dokl.13, 953–956 (1972).
M. R. Pettet, Groups whose automorphisms are almost determined by their restriction to a subgroup. Glasgow Math. J.28, 87–93 (1986).
D. J. S.Robinson, Finiteness Conditions and Generalized Soluble Groups I. Berlin-Heidelberg-New York 1972.
D. J. S. Robinson, Splitting theorems for infinite groups. Symposia Math.17, 441–470 (1976).
D. J. S. Robinson, A contribution to the theory of groups with finitely many automorphisms. Proc. London Math. Soc. (3)35, 34–54 (1977).
D. J. S. Robinson, Infinite torsion groups as automorphism groups. Quart. J. Math. (2)30, 351–364 (1979).
D. J. S.Robinson, A Course in the Theory of Groups. Berlin-Heidelberg-New York 1982.
E. Sasiada, Construction of directly indecomposable abelian groups of a power higher than that of the continuum. Bull. Acad. Polon. Sci. Ser. Sci. Math., Astron. Phys.5, 701–703 (1957); ibid.7, 23–26 (1959).
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Pettet, M.R. Locally finite groups as automorphism groups. Arch. Math 48, 1–9 (1987). https://doi.org/10.1007/BF01196346
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DOI: https://doi.org/10.1007/BF01196346