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

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

MathSciNet review:
0087654

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References | Similar Articles | Additional Information

**[1]**G. Birkhoff and P. Hall,*On the order of groups of automorphisms*, Trans. Amer. Math. Soc. vol. 39 (1936) pp. 498-499. MR**1501860****[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 vol. 59 (1952) pp. 309-310. MR**0047642 (13:907a)****[4]**W. R. Scott,*On the order of the automorphism group of a finite group*, Proc. Amer. Math. Soc. vol. 5 (1954) pp. 23-24. MR**0062121 (15:931a)****[5]**H. Zassenhaus,*The theory of groups*(English trans.), New York, 1949. MR**0030947 (11:77d)****[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