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

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 Logika, 2003, Volume 42, Number 4, Pages 422–472 (Mi al39)  

This article is cited in 12 scientific papers (total in 12 papers)

The Fixed Point Group of a Free Group Automorphism

O. S. Maslakova

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences

Abstract: It is proved that the fixed point group of an arbitrary automorphism of a free group of finite rank has an algorithmically computable basis.

Keywords: automorphism, basis for fixed point groups of automorphisms, irreducible automorphism, free group of finite rank, relative train track map.

Full text: PDF file (455 kB)
References: PDF file   HTML file

English version:
Algebra and Logic, 2003, 42:4, 237–265

Bibliographic databases:

UDC: 512.54+512.544
Received: 10.05.2001

Citation: O. S. Maslakova, “The Fixed Point Group of a Free Group Automorphism”, Algebra Logika, 42:4 (2003), 422–472; Algebra and Logic, 42:4 (2003), 237–265

Citation in format AMSBIB
\Bibitem{Mas03}
\by O.~S.~Maslakova
\paper The Fixed Point Group of a~Free Group Automorphism
\jour Algebra Logika
\yr 2003
\vol 42
\issue 4
\pages 422--472
\mathnet{http://mi.mathnet.ru/al39}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2017513}
\zmath{https://zbmath.org/?q=an:1031.20014}
\transl
\jour Algebra and Logic
\yr 2003
\vol 42
\issue 4
\pages 237--265
\crossref{https://doi.org/10.1023/A:1025057326470}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-4344620283}


Linking options:
  • http://mi.mathnet.ru/eng/al39
  • http://mi.mathnet.ru/eng/al/v42/i4/p422

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Martino A, Ventura E, “A description of auto-fixed subgroups in a free group”, Topology, 43:5 (2004), 1133–1164  crossref  mathscinet  zmath  isi  scopus
    2. Bogopolski O., Martino A., Maslakova O., Ventura E., “The conjugacy problem is solvable in free-by-cyclic groups”, Bulletin of the London Mathematical Society, 38:5 (2006), 787–794  crossref  mathscinet  zmath  isi  scopus
    3. Lee D., “On several problems about automorphisms of the free group of rank two”, Journal of Algebra, 321:1 (2009), 167–193  crossref  mathscinet  zmath  isi  scopus
    4. Silva P.V., “Fixed points of endomorphisms over special confluent rewriting systems”, Monatshefte fur Mathematik, 161:4 (2010), 417–447  crossref  mathscinet  zmath  isi  scopus
    5. Brinkmann P., “Detecting automorphic orbits in free groups”, Journal of Algebra, 324:5 (2010), 1083–1097  crossref  mathscinet  zmath  isi  scopus
    6. Staecker P.Ch., “Typical elements in free groups are in different doubly-twisted conjugacy classes”, Topology and Its Applications, 157:10–11 (2010), 1736–1741  crossref  mathscinet  zmath  isi  scopus
    7. Ventura E., “Computing Fixed Closures in Free Groups”, Illinois J Math, 54:1 (2010), 175–186  mathscinet  zmath  isi
    8. Ladra M., Silva P.V., “The generalized conjugacy problem for virtually free groups”, Forum Math, 23:3 (2011), 447–482  crossref  mathscinet  zmath  isi  elib  scopus
    9. Hilion A., “Free Group Automorphisms with Parabolic Boundary Orbits”, Algebr. Geom. Topol., 12:2 (2012), 933–950  crossref  mathscinet  zmath  isi  scopus
    10. Silva P.V., “Fixed Points of Endomorphisms of Certain Free Products”, Rairo-Theor. Inform. Appl., 46:1, SI (2012), 165–179  crossref  mathscinet  zmath  isi  elib  scopus
    11. Bogopolski O., Maslakova O., “An Algorithm For Finding a Basis of the Fixed Point Subgroup of An Automorphism of a Free Group”, Int. J. Algebr. Comput., 26:1 (2016), 29–67  crossref  mathscinet  zmath  isi  elib  scopus
    12. Roy M., Ventura E., “Fixed Subgroups and Computation of Auto-Fixed Closures in Free-Abelian Times Free Groups”, J. Pure Appl. Algebr., 224:4 (2019), UNSP 106210  crossref  mathscinet  isi  scopus
  • Алгебра и логика Algebra and Logic
    Number of views:
    This page:265
    Full text:95
    References:35
    First page:1

     
    Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2021