Geodesic
On groups with a~finite number of automorphisms
Sbornik. Mathematics, Tome 15 (1971) no. 4, pp. 568-575

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It is proved that in groups having only a finite number of automorphisms the set of all prime numbers dividing the finite orders of elements is finite. The dependence of the order of a finite group on the number of its automorphisms is obtained. A new proof is given of the well-known result of Baer that a periodic group with a finite number of automorphisms is finite. It is proved that a group with a finite number of monomorphisms is finite. The final result generalizes the well-known theorem of Baer that a group with a finite number of endomorphisms is finite. Bibliography: 5 titles. 
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     author = {V. T. Nagrebetskii},
     title = {On groups with a~finite number of automorphisms},
     journal = {Sbornik. Mathematics},
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     year = {1971},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1971_15_4_a5/}
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V. T. Nagrebetskii. On groups with a~finite number of automorphisms. Sbornik. Mathematics, Tome 15 (1971) no. 4, pp. 568-575. http://geodesic.mathdoc.fr/item/SM_1971_15_4_a5/