Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya Matematika, Mekhanika, Informatika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Sib. J. Pure and Appl. Math.:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Vestnik Novosibirskogo Gosudarstvennogo Universiteta. Seriya Matematika, Mekhanika, Informatika, 2010, Volume 10, Issue 2, Pages 85–97 (Mi vngu43)  

Two Results for Automorphism Group of Partially Commutative Class Two Nilpotent Groups

A. V. Treyer

Omsk Branch of Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
References:
Abstract: Let $\Gamma$ be a finite simle graph, $R$ be a binomial ring and $G_{\Gamma}$, be a partially commutative $R$-group of nilpotency class $2$ coresponded to graph $\Gamma$. In recent paper [1] "Structure of the automorphism group for partially commutative class two nilpotent groups" author jointly with V.N. Remeslennikov reduced the study of $Aut(G_{\Gamma})$ to the study of its unipotent part $UT(G_{\Gamma})$. In this paper we compute the nilpotency class for $UT(G_{\Gamma})$ and give generating set for $UT(G_{\Gamma})$. Moreover, we descibe generating set for $Aut(G_{\Gamma})$.
Keywords: partially commutative group, automorphism, nilpotency, generating set, basis commutators, graph, transvections, unipotent subgroup, nilpotency step.
Received: 05.02.2010
Document Type: Article
UDC: 512.544.43, 512.544.33, 512.547.4
Language: Russian
Citation: A. V. Treyer, “Two Results for Automorphism Group of Partially Commutative Class Two Nilpotent Groups”, Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 10:2 (2010), 85–97
Citation in format AMSBIB
\Bibitem{Tre10}
\by A.~V.~Treyer
\paper Two Results for Automorphism Group of Partially Commutative Class Two Nilpotent Groups
\jour Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform.
\yr 2010
\vol 10
\issue 2
\pages 85--97
\mathnet{http://mi.mathnet.ru/vngu43}
Linking options:
  • https://www.mathnet.ru/eng/vngu43
  • https://www.mathnet.ru/eng/vngu/v10/i2/p85
  • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Вестник Новосибирского государственного университета. Серия: математика, механика, информатика
    Statistics & downloads:
    Abstract page:172
    Full-text PDF :82
    References:48
    First page:1
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024