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Eurasian Mathematical Journal, 2016, том 7, номер 4, страницы 30–45
(Mi emj239)
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Эта публикация цитируется в 1 научной статье (всего в 1 статье)
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
Аннотация:
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 $r$.
Ключевые слова и фразы:
$IA$-automorphism, finitely generated group.
Поступила в редакцию: 28.03.2016
Образец цитирования:
R. G. Ghumde, S. H. Ghate, “Bounds of the group of $IA$-automorphisms”, Eurasian Math. J., 7:4 (2016), 30–45
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/emj239 https://www.mathnet.ru/rus/emj/v7/i4/p30
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Страница аннотации: | 181 | PDF полного текста: | 107 | Список литературы: | 32 |
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