Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika
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


Izv. Vyssh. Uchebn. Zaved. Mat.:
Year:
Volume:
Issue:
Page:
Find




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

Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2022, Number 12, Pages 101–112
DOI: https://doi.org/10.26907/0021-3446-2022-12-101-112 (Mi ivm9841) 		 
The Markoff theory and the commutator subgroup $SL(2,Z)'$

Paul Schmutz Schaller

Switzerland
Full-text PDF (372 kB)
References:
PDF
HTML
DOI: https://doi.org/10.26907/0021-3446-2022-12-101-112
Abstract: The commutator subgroup $SL(2,Z)'$ plays a particular role in the Markoff theory since every Markoff number is $1/3$ of the trace of same elements of $SL(2,Z)'$. The latter is a free group with two generators. We give an exhaustive description of the possible pairs of generators of $SL(2,Z)'$, including important new results.
Keywords: commutator subgroup, special linear group, Markoff number, Markoff triple, $3$-matrix.
Received: 02.03.2022
Revised: 02.03.2022
Accepted: 29.06.2022
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2022, Volume 66, Issue 12, Pages 91–101
DOI: https://doi.org/10.3103/S1066369X22120106
Document Type: Article
UDC: 517
Language: Russian
Citation: Paul Schmutz Schaller, “The Markoff theory and the commutator subgroup $SL(2,Z)'$”, Izv. Vyssh. Uchebn. Zaved. Mat., 2022, no. 12, 101–112; Russian Math. (Iz. VUZ), 66:12 (2022), 91–101
Citation in format AMSBIB
\Bibitem{Sch22}
\by Paul~Schmutz~Schaller
\paper The Markoff theory and the commutator subgroup $SL(2,Z)'$
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2022
\issue 12
\pages 101--112
\mathnet{http://mi.mathnet.ru/ivm9841}
\crossref{https://doi.org/10.26907/0021-3446-2022-12-101-112}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2022
\vol 66
\issue 12
\pages 91--101
\crossref{https://doi.org/10.3103/S1066369X22120106}
Linking options:
  • https://www.mathnet.ru/eng/ivm9841
  • https://www.mathnet.ru/eng/ivm/y2022/i12/p101
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
    Statistics & downloads:
    Abstract page:98
    Full-text PDF :24
    References:14
    First page:3
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024