On the power of a prime dividing the order of a group of automorphisms

Author:
J. E. Adney

Journal:
Proc. Amer. Math. Soc. **8** (1957), 627-633

MSC:
Primary 20.0X

MathSciNet review:
0087654

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References | Similar Articles | Additional Information

**[1]**Garrett Birkhoff and Philip Hall,*On the order of groups of automorphisms*, Trans. Amer. Math. Soc.**39**(1936), no. 3, 496–499. MR**1501860**, 10.1090/S0002-9947-1936-1501860-9**[2]**H. Hilton,*On the order of the group of automorphisms of an Abelian group*, Messenger of Math. (2) vol. 38 (1909) pp. 132-134.**[3]**I. N. Herstein and J. E. Adney,*A note on the automorphism group of a finite group*, Amer. Math. Monthly**59**(1952), 309–310. MR**0047642****[4]**W. R. Scott,*On the order of the automorphism group of a finite group*, Proc. Amer. Math. Soc.**5**(1954), 23–24. MR**0062121**, 10.1090/S0002-9939-1954-0062121-7**[5]**Hans Zassenhaus,*The Theory of Groups*, Chelsea Publishing Company, New York, N. Y., 1949. Translated from the German by Saul Kravetz. MR**0030947****[6]**W. Burnside,*Theory of groups*, Cambridge, 1897.

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DOI:
https://doi.org/10.1090/S0002-9939-1957-0087654-1

Article copyright:
© Copyright 1957
American Mathematical Society