JP Journal of Algebra, Number Theory and Applications
Volume 48, Issue 2, Pages 203 - 209
(November 2020) http://dx.doi.org/10.17654/NT048020203 |
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SOLVABILITY AND POLYCYCLICITY OF GROUP OF IA-AUTOMORPHISMS
R. G. Ghumde
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Abstract: For a finite polycyclic group with derived series that has cyclic factors of prime order, the group IA(G) of all IA-automorphisms of the group G is itself polycyclic. This result was proved by Ghumde and Ghate [3]. In this paper, we prove the same result without using the condition of finite group and here we also obtain sufficient condition for IA(G) to be solvable. |
Keywords and phrases: solvable group, IA-automorphism, polycyclic group.
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