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Eurasian Mathematical Journal, 2016, Volume 7, Number 4, Pages 30–45 (Mi emj239)  
This article is cited in 1 scientific paper (total in 1 paper)

Bounds of the group of $IA$-automorphisms

R. G. Ghumdea, S. H. Ghateb

a Department of Mathematics, Ramdeobaba College of Engineering & Management, 440013, Nagpur, India
b Department of Mathematics, R.T.M. Nagpur University, 440033, Nagpur, India
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Abstract: 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 $r$.
Keywords and phrases: $IA$-automorphism, finitely generated group.
Received: 28.03.2016
Bibliographic databases:
Document Type: Article
MSC: 20D45, 20D15
Language: English
Citation: R. G. Ghumde, S. H. Ghate, “Bounds of the group of $IA$-automorphisms”, Eurasian Math. J., 7:4 (2016), 30–45
Citation in format AMSBIB
\Bibitem{GhuGha16}
\by R.~G.~Ghumde, S.~H.~Ghate
\paper Bounds of the group of $IA$-automorphisms
\jour Eurasian Math. J.
\yr 2016
\vol 7
\issue 4
\pages 30--45
\mathnet{http://mi.mathnet.ru/emj239}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000398292700002}
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    • This publication is cited in the following 1 articles:
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