메뉴 건너뛰기




Volumn 20, Issue 4, 2010, Pages 465-488

The twisted twin of the grigorchuk group

Author keywords

automata group; congruence property; endomorphic presentation; group acting on tree; just infinite group; Schur multiplier; Self similar group; torsion group

Indexed keywords


EID: 77954566911     PISSN: 02181967     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218196710005728     Document Type: Article
Times cited : (18)

References (18)
  • 1
    • 0242425107 scopus 로고    scopus 로고
    • Endomorphic presentations of branch groups
    • available at arXiv.org/abs/math/0007062
    • L. Bartholdi, Endomorphic presentations of branch groups, J. Algebra 268(2) (2003) 419-443, available at arXiv.org/abs/math/0007062.
    • (2003) J. Algebra , vol.268 , Issue.2 , pp. 419-443
    • Bartholdi, L.1
  • 2
    • 58149359425 scopus 로고    scopus 로고
    • A nilpotent quotient algorithm for certain infinitely presented groups and its applications Internat
    • available at arXiv.org/abs/0706.3131
    • L. Bartholdi, B. Eick and R. Hartung, A nilpotent quotient algorithm for certain infinitely presented groups and its applications, Internat. J. Algebra Comput. 18(8) (2008) 1321-1344, available at arXiv.org/abs/0706.3131.
    • (2008) J. Algebra Comput. , vol.18 , Issue.8 , pp. 1321-1344
    • Bartholdi, L.1    Eick, B.2    Hartung, R.3
  • 3
    • 77954610276 scopus 로고    scopus 로고
    • On amenability of automata groups
    • to appear in available at arXiv.org/abs/ 0802.2837
    • L. Bartholdi, V. A. Kaimanovich and V. V. Nekrashevych, On amenability of automata groups (2008), to appear in Duke Math. J. available at arXiv.org/abs/ 0802.2837.
    • (2008) Duke Math. J.
    • Bartholdi, L.1    Kaimanovich, V.A.2    Nekrashevych, V.V.3
  • 4
    • 77954616629 scopus 로고    scopus 로고
    • The congruence subgroup problem for branch groups
    • to appear, available atarXiv.org/abs/math/0902.3220
    • L. Bartholdi, O. Siegenthaler and P. A. Zalesskii, The congruence subgroup problem for branch groups (2009), to appear in Isr. J. Math., available at arXiv.org/abs/math/0902.3220.
    • (2009) Isr. J. Math.
    • Bartholdi, L.1    Siegenthaler, O.2    Zalesskii, P.A.3
  • 5
    • 1342300471 scopus 로고    scopus 로고
    • The GAP Group, GAP - Groups, Version 4.4.10
    • The GAP Group, GAP - Groups, Algorithms and Programming, Version 4.4.10 (2008).
    • (2008) Algorithms and Programming
  • 8
    • 0002517311 scopus 로고
    • On the Milnor problem of group growth
    • R. I. Grigorchuk, On the Milnor problem of group growth, Dokl. Akad. Nauk SSSR 271 (1983) 30-33.
    • (1983) Dokl. Akad. Nauk SSSR , vol.271 , pp. 30-33
    • Grigorchuk, R.I.1
  • 9
    • 1642540895 scopus 로고    scopus 로고
    • On the system of defining relations and the Schur multiplier of periodic groups generated by finite automata
    • R. I. Grigorchuk, On the system of defining relations and the Schur multiplier of periodic groups generated by finite automata, Groups St Andrews 1997 in Bath, I (1999), pp. 290-317.
    • (1999) Groups St Andrews 1997 in Bath , vol.1 , pp. 290-317
    • Grigorchuk, R.I.1
  • 13
    • 0001443098 scopus 로고
    • A system of defining relations for the Grigorchuk group
    • I. G. Lysionok, A system of defining relations for the Grigorchuk group, Mat. Zametki 38 (1985) 503-511.
    • (1985) Mat. Zametki , vol.38 , pp. 503-511
    • Lysionok, I.G.1
  • 17
    • 0002782677 scopus 로고
    • On a 2-generated infinite 3-group: The presentation problem
    • S. N. Sidki, On a 2-generated infinite 3-group: The presentation problem, J. Algebra 110(1) (1987) 13-23.
    • (1987) J. Algebra , vol.110 , Issue.1 , pp. 13-23
    • Sidki, S.N.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.