Algebra i logika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Algebra Logika:
Year:
Volume:
Issue:
Page:
Find




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

Algebra i logika, 2021, Volume 60, Number 3, Pages 298–302
DOI: https://doi.org/10.33048/alglog.2021.60.303 (Mi al2664) 		 
Infinite groups containing a proper Hughes subgroup $H_3(G)$

Wenbin Guoab, D. V. Lytkinacd, V. D. Mazurovd

a School Sci., Hainan Univ., Haikou, Hainan, P. R. CHINA
b School Math. Sci., Univ. Sci. Tech. China, Hefei, P. R. CHINA
c Siberian State University of Telecommunications and Informatics, Novosibirsk
d Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
Full-text PDF (192 kB)
References:
PDF
HTML
DOI: https://doi.org/10.33048/alglog.2021.60.303
Abstract: We consider groups in which $H_3(G)$ is both nontrivial and proper. In particular, it is proved that in such a group, $|G:H_3(G)|=3$.
Keywords: Hughes subgroup, Engel group, group of exponent $3$.
Funding agency Grant number
National Natural Science Foundation of China 12171126
Ministry of Science and Higher Education of the Russian Federation 075-15-2019-1613
Russian Foundation for Basic Research 20-51-00007
Siberian Branch of Russian Academy of Sciences I.1.1, проект № 0314-2019-0001
Supported by the NNSF of China (grant No. 12171126) and by Key Laboratory of Engineering Modeling and Statistical Computation of Hainan Province. Supported byMathematical Center in Akademgorodok, Agreement with RFMinistry of Education and Science No. 075-15-2019-1613. Supported by RFBR (project No. 20-51-00007) and by SB RAS Fundamental Research Program I.1.1 (project No. 0314-2019-0001).
Received: 02.07.2021
Revised: 18.10.2021
English version:
Algebra and Logic, 2021, Volume 60, Issue 3, Pages 196–199
DOI: https://doi.org/10.1007/s10469-021-09641-z
Bibliographic databases:
Document Type: Article
UDC: 512.542
Language: Russian
Citation: Wenbin Guo, D. V. Lytkina, V. D. Mazurov, “Infinite groups containing a proper Hughes subgroup $H_3(G)$”, Algebra Logika, 60:3 (2021), 298–302; Algebra and Logic, 60:3 (2021), 196–199
Citation in format AMSBIB
\Bibitem{GuoLytMaz21}
\by Wenbin~Guo, D.~V.~Lytkina, V.~D.~Mazurov
\paper Infinite groups containing a proper Hughes subgroup $H_3(G)$
\jour Algebra Logika
\yr 2021
\vol 60
\issue 3
\pages 298--302
\mathnet{http://mi.mathnet.ru/al2664}
\crossref{https://doi.org/10.33048/alglog.2021.60.303}
\transl
\jour Algebra and Logic
\yr 2021
\vol 60
\issue 3
\pages 196--199
\crossref{https://doi.org/10.1007/s10469-021-09641-z}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000714533400009}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85118567224}
Linking options:
  • https://www.mathnet.ru/eng/al2664
  • https://www.mathnet.ru/eng/al/v60/i3/p298
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Алгебра и логика Algebra and Logic
    Statistics & downloads:
    Abstract page:220
    Full-text PDF :38
    References:33
    First page:4
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024