Document Zbl 0457.20040

Finite groups of automorphisms of infinite groups. I. (English) Zbl 0457.20040

J. Algebra 70, 16-22 (1981).

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MSC:

20F28	Automorphism groups of groups
20F29	Representations of groups as automorphism groups of algebraic systems
20B25	Finite automorphism groups of algebraic, geometric, or combinatorial structures
20E36	Automorphisms of infinite groups

Keywords:

automorphism groups of infinite non-Abelian groups

Citations:

Zbl 0358.20052

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Full Text: DOI

References:

[1]	Fuchs, L., Infinite Abelian Groups (1970), Academic Press: Academic Press New York/London · Zbl 0213.03501
[2]	Hallett, J. T.; Hirsch, K. T., Torsion-free groups having finite automorphism groups, I, J. Algebra, 2, 287-298 (1965) · Zbl 0132.27301
[3]	Hallett, J. T.; Hirsch, K. T., Die Konstruktion von Gruppen mit vorgeschriebenen Automorphismengruppen, J. Reine angew. Math., 239/240, 32-46 (1970) · Zbl 0186.03901
[4]	Hallett, J. T.; Hirsch, K. T., Groups of exponent 4 as automorphism groups, Math. Z., 117, 183-188 (1970) · Zbl 0198.34502
[5]	Hallett, J. T.; Hirsch, K. T., Finite groups of exponent 4 as automorphism groups, Math. Z., 131, 1-10 (1970) · Zbl 0261.20021
[6]	Hallett, J. T.; Hirsch, K. T., Finite groups of exponent 12 as automorphism groups, Math. Z., 155, 43-53 (1977) · Zbl 0337.20015
[7]	Hirsch, K. A.; Zassenhaus, H., Finite automorphism groups of torsion-free groups, J. London Math. Soc., 41, 545-549 (1966) · Zbl 0144.26406
[8]	Huppert, B., Endliche Gruppen (1967), Springer-Verlag: Springer-Verlag Berlin · Zbl 0217.07201
[9]	Nagrebeckiǐ, V. T., Soviet Math. Dokl., 13, 953-956 (1972) · Zbl 0275.20075
[10]	Robinson, D. J.S, A contribution to the theory of groups with finitely many automorphisms, (Proc. London Math. Soc., 35 (1977)), 34-54, (3) · Zbl 0358.20052
[11]	Scott, W. R., Group Theory (1964), Prentice-Hall: Prentice-Hall Englewood Cliffs, N.J · Zbl 0126.04504
[12]	Stammbach, U., Homology in Group Theory, (Lecture Notes in Mathematics No. 359 (1972), Springer-Verlag: Springer-Verlag Berlin) · Zbl 0532.20004
[13]	de Vries, H.; de Miranda, A. B., Groups with a small number of automorphisms, Math. Z., 68, 450-464 (1958) · Zbl 0078.01504

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