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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Solvable automorphism groups and an upper bound for $ A(G)$


Author: J. R. Weaver
Journal: Proc. Amer. Math. Soc. 27 (1971), 229-235
MSC: Primary 20.22
DOI: https://doi.org/10.1090/S0002-9939-1971-0271211-5
MathSciNet review: 0271211
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Abstract: The objective of this work is to find a subgroup $ H$ of a finite group $ G$ which will give information about the order of the automorphism group of $ G$ and the structure of the automorphism group of $ G$. An upper bound is found for the order of the automorphism group and conditions are given which insure that the automorphism group is solvable. Some information is given about a normal subgroup of a particular subgroup of the automorphism group. In this paper all groups are assumed to be finite.


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DOI: https://doi.org/10.1090/S0002-9939-1971-0271211-5
Keywords: Finite group, automorphism group, solvable, upper bound
Article copyright: © Copyright 1971 American Mathematical Society