Bulletin of Irkutsk State University. Series Mathematics
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


Bulletin of Irkutsk State University. Series Mathematics:
Year:
Volume:
Issue:
Page:
Find




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

Bulletin of Irkutsk State University. Series Mathematics, 2024, Volume 49, Pages 135–142
DOI: https://doi.org/10.26516/1997-7670.2024.49.135 (Mi iigum580) 		 
Short Papers

Generation by conjugate elements of finite almost simple groups with a sporadic socle

D. O. Revina, A. V. Zavarnitsineb

a Siberian Federal University, Krasnoyarsk, Russian Federation
b Sobolev Institute of Mathematics SB RAS, Novosibirsk, Russian Federation
Full-text PDF (332 kB)
References:
PDF
HTML
DOI: https://doi.org/10.26516/1997-7670.2024.49.135
Abstract: We study the minimum number of elements in the conjugacy class of an automorphism of a sporadic simple group that generate a subgroup containing all inner automorphisms. These results refine the estimates obtained earlier in the papers by Guralnick and Saxl and by Di Martino, Pellegrini, and Zalesski.
Keywords: sporadic group, Fischer group, conjugacy, generators, Baer–Suzuki theorem.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation FWNF-2022-0002
Russian Science Foundation 19-71-10017-Ï
The work of the first author (Proposition 1 and Theorem 2) was financially supported by the Russian Science Foundation (Grant 19-71-10017-Π). The work of the second author (Theorem 1) was financially supported by the State Contract of the Sobolev Institute of Mathematics (Project FWNF-2022-0002).
Received: 18.01.2024
Revised: 30.01.2024
Accepted: 31.01.2024
Document Type: Article
UDC: 512.542
MSC: 20E28, 20D20
Language: English
Citation: D. O. Revin, A. V. Zavarnitsine, “Generation by conjugate elements of finite almost simple groups with a sporadic socle”, Bulletin of Irkutsk State University. Series Mathematics, 49 (2024), 135–142
Citation in format AMSBIB
\Bibitem{RevZav24}
\by D.~O.~Revin, A.~V.~Zavarnitsine
\paper Generation by conjugate elements of finite almost simple groups with a sporadic socle
\jour Bulletin of Irkutsk State University. Series Mathematics
\yr 2024
\vol 49
\pages 135--142
\mathnet{http://mi.mathnet.ru/iigum580}
\crossref{https://doi.org/10.26516/1997-7670.2024.49.135}
Linking options:
  • https://www.mathnet.ru/eng/iigum580
  • https://www.mathnet.ru/eng/iigum/v49/p135
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Statistics & downloads:
    Abstract page:11
    Full-text PDF :3
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024