Solvable automorphism groups and an upper bound for $A(G)$
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- by J. R. Weaver PDF
- Proc. Amer. Math. Soc. 27 (1971), 229-235 Request permission
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.References
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- Hans Liebeck, The automorphism group of finite $p$-groups, J. Algebra 4 (1966), 426–432. MR 207839, DOI 10.1016/0021-8693(66)90032-9 W. Wielandt, Topics in the theory of composite groups, Lecture Notes, Department of Mathematics, University of Wisconsin, Madison, Wis., 1967.
Additional Information
- © Copyright 1971 American Mathematical Society
- 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