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Computer Research and Modeling, 2012, Volume 4, Issue 3, Pages 531–542
DOI: https://doi.org/10.20537/2076-7633-2012-4-3-531-542 (Mi crm507) 		 
NUMERICAL METHODS AND THE BASIS FOR THEIR APPLICATION

Normalizers and centralizers of subgroups in non-Abelian groups of small order

I. Shilina, A. A. Aleksandrovb

a Moscow Aviation Institute (National Research University), 4 Volokolamskoe shosse, Moscow, 125993, Russia
b Sholokhov Moscow State University for the Humanities, 16–18 Verhnya Radishevskaya, Moscow, 109240, Russia
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DOI: https://doi.org/10.20537/2076-7633-2012-4-3-531-542
Abstract: By applying the computer program, which is created by authors, we obtain the exact representation of normalizers and centralizers of all nontrivial subgroups in non-Abelian groups under the condition. All results are represented either in terms of concrete realization of the corresponding group or in terms of it's generators. We consider the application of our program to the verification of T-normal condition.
Keywords: normilizer, centralizer, finite group, non-Abelian group, T-normal group.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 586P30
2012-1.3.2-12-000-1005-001
Received: 30.04.2012
Revised: 02.08.2012
Document Type: Article
UDC: 512.542; 519.673
Language: Russian
Citation: I. Shilin, A. A. Aleksandrov, “Normalizers and centralizers of subgroups in non-Abelian groups of small order”, Computer Research and Modeling, 4:3 (2012), 531–542
Citation in format AMSBIB
\Bibitem{ShiAle12}
\by I.~Shilin, A.~A.~Aleksandrov
\paper Normalizers and centralizers of subgroups in non-Abelian groups of small order
\jour Computer Research and Modeling
\yr 2012
\vol 4
\issue 3
\pages 531--542
\mathnet{http://mi.mathnet.ru/crm507}
\crossref{https://doi.org/10.20537/2076-7633-2012-4-3-531-542}
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