Geodesic
Bounds of the group of $IA$-automorphisms
Eurasian mathematical journal, Tome 7 (2016) no. 4, pp. 30-45

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In this paper, expressions for the lower and upper bounds on the number of $IA$-automorphisms of a finitely generated group have been obtained. Using these bounds a few results including the one by Yadav and Vermani on Hasse principle have been derived as simple corollaries. Considering groups of order $pq$, $pqr$ and $p^2q$ the exact number of $IA$-automorphisms have been obtained in terms of the distinct primes $p$, $q$ and $r$. 
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     author = {R. G. Ghumde and S. H. Ghate},
     title = {Bounds of the group of $IA$-automorphisms},
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R. G. Ghumde; S. H. Ghate. Bounds of the group of $IA$-automorphisms. Eurasian mathematical journal, Tome 7 (2016) no. 4, pp. 30-45. http://geodesic.mathdoc.fr/item/EMJ_2016_7_4_a2/