메뉴 건너뛰기




Volumn 34, Issue 4, 2014, Pages 1365-1394

The nub of an automorphism of a totally disconnected, locally compact group

Author keywords

[No Author keywords available]

Indexed keywords


EID: 84904011867     PISSN: 01433857     EISSN: 14694417     Source Type: Journal    
DOI: 10.1017/etds.2012.172     Document Type: Article
Times cited : (16)

References (34)
  • 1
    • 0042896343 scopus 로고
    • Dense orbits of automorphisms and compactness of groups
    • N. Aoki. Dense orbits of automorphisms and compactness of groups. Topology Appl. 20 (1985), 1-15.
    • (1985) Topology Appl , vol.20 , pp. 1-15
    • Aoki, N.1
  • 2
    • 6344293781 scopus 로고    scopus 로고
    • Contraction groups and scales of automorphisms of totally disconnected locally compact groups
    • U. Baumgartner and G. A.Willis. Contraction groups and scales of automorphisms of totally disconnected locally compact groups. Israel J. Math. 142 (2004), 221-248.
    • (2004) Israel J. Math , vol.142 , pp. 221-248
    • Baumgartner, U.1    Willis, G.A.2
  • 3
    • 79958245348 scopus 로고    scopus 로고
    • Simple locally compact groups acting on trees and their germs of automorphisms
    • P.-E. Caprace and T. de Medts. Simple locally compact groups acting on trees and their germs of automorphisms. Transform. Groups 16(2) (2011), 375-411.
    • (2011) Transform. Groups , vol.16 , Issue.2 , pp. 375-411
    • Caprace, P.-E.1    De Medts, T.2
  • 4
    • 33749350826 scopus 로고    scopus 로고
    • Locally compact groups with dense orbits under Zd -actions by automorphisms
    • S. G. Dani, N. Shah and G. A. Willis. Locally compact groups with dense orbits under Zd -actions by automorphisms. Ergod. Th. & Dynam. Sys. 26 (2006), 1443-1465.
    • (2006) Ergod. Th. & Dynam. Sys , vol.26 , pp. 1443-1465
    • Dani, S.G.1    Shah, N.2    Willis, G.A.3
  • 6
    • 0030544185 scopus 로고    scopus 로고
    • Some results on the classification of expansive automorphisms of compact abelian groups
    • F. Fagnani. Some results on the classification of expansive automorphisms of compact abelian groups. Ergod. Th. & Dynam. Sys. 16 (1996), 45-50.
    • (1996) Ergod. Th. & Dynam. Sys , vol.16 , pp. 45-50
    • Fagnani, F.1
  • 7
    • 23944503342 scopus 로고    scopus 로고
    • Contraction groups for tidy automorphisms of totally disconnected groups
    • H. Glöckner. Contraction groups for tidy automorphisms of totally disconnected groups. Glasgow Math. J. 47 (2005), 329-333.
    • (2005) Glasgow Math. J , vol.47 , pp. 329-333
    • Glöckner, H.1
  • 8
    • 77956068602 scopus 로고    scopus 로고
    • Classification of the simple factors appearing in composition series of totally disconnected contraction groups
    • H. Glöckner and G. A. Willis. Classification of the simple factors appearing in composition series of totally disconnected contraction groups. J. Reine Angew. Math. 643 (2010), 141-169.
    • (2010) J. Reine Angew. Math , vol.643 , pp. 141-169
    • Glöckner, H.1    Willis, G.A.2
  • 9
    • 0002450444 scopus 로고    scopus 로고
    • Simplicité de Groupes D'automorphismes D'espaces à Courbure Négative (Geometry & Topology Monographs, 1)
    • The Epstein birthday schrift (electronic)
    • F. Haglund and F. Paulin. Simplicité de Groupes D'automorphismes D'espaces à Courbure Négative (Geometry & Topology Monographs, 1). Geometry and Topology Publishing, Coventry, 1998, pp. 181-48; The Epstein birthday schrift (electronic).
    • (1998) Geometry and Topology Publishing, Coventry , pp. 181-148
    • Haglund, F.1    Paulin, F.2
  • 11
    • 0041581975 scopus 로고
    • Automorphisms on a Lie group contracting modulo a compact subgroup and applications to semistable convolution semigroups
    • W. Hazod and E. Siebert. Automorphisms on a Lie group contracting modulo a compact subgroup and applications to semistable convolution semigroups. J. Theoret. Probab. 1 (1988), 211-225.
    • (1988) J. Theoret. Probab , vol.1 , pp. 211-225
    • Hazod, W.1    Siebert, E.2
  • 13
    • 77949633149 scopus 로고    scopus 로고
    • On contraction groups of automorphisms of totally disconnected locally compact groups
    • W. Jaworski. On contraction groups of automorphisms of totally disconnected locally compact groups. Israel J. Math. 172 (2009), 1-8.
    • (2009) Israel J. Math , vol.172 , pp. 1-8
    • Jaworski, W.1
  • 15
    • 0030503773 scopus 로고    scopus 로고
    • Concentration functions in locally compact groups
    • W. Jaworski, J. M. Rosenblatt and G. A.Willis. Concentration functions in locally compact groups. Math. Ann. 305 (1996), 673-691.
    • (1996) Math. Ann , vol.305 , pp. 673-691
    • Jaworski, W.1    Rosenblatt, J.M.2    Willis, G.A.3
  • 16
    • 0041894188 scopus 로고
    • On automorphisms of a locally compact group
    • R. Kaufman and M. Rajagopalan. On automorphisms of a locally compact group. Michigan Math. J. 13 (1966), 373-374.
    • (1966) Michigan Math. J , vol.13 , pp. 373-374
    • Kaufman, R.1    Rajagopalan, M.2
  • 17
    • 84974289002 scopus 로고
    • Expansive dynamics of zero-dimensional groups
    • B. Kitchens. Expansive dynamics of zero-dimensional groups. Ergod. Th. & Dynam. Sys. 7 (1987), 249-261.
    • (1987) Ergod. Th. & Dynam. Sys , vol.7 , pp. 249-261
    • Kitchens, B.1
  • 19
    • 0034363433 scopus 로고    scopus 로고
    • Isomorphism rigidity of irreducible Zd -actions
    • B. Kitchens and K. Schmidt. Isomorphism rigidity of irreducible Zd -actions. Invent. Math. 142 (2000), 559-577.
    • (2000) Invent. Math , vol.142 , pp. 559-577
    • Kitchens, B.1    Schmidt, K.2
  • 21
    • 0033469671 scopus 로고    scopus 로고
    • Homoclinic points of algebraic Zd -actions
    • D. Lind and K. Schmidt. Homoclinic points of algebraic Zd -actions. J. Amer. Math. Soc. 12 (1999), 953-980.
    • (1999) J. Amer. Math. Soc , vol.12 , pp. 953-980
    • Lind, D.1    Schmidt, K.2
  • 23
    • 84972507028 scopus 로고
    • The Mautner phenomenon for general unitary representations
    • C. C. Moore. The Mautner phenomenon for general unitary representations. Pacific J. Math. 86 (1980), 155-169.
    • (1980) Pacific J. Math , vol.86 , pp. 155-169
    • Moore, C.C.1
  • 24
    • 0041915494 scopus 로고    scopus 로고
    • Dense orbits and compactness of groups
    • W. H. Previts and T.-S. Wu. Dense orbits and compactness of groups. Bull. Austral. Math. Soc. 68(1) (2003), 155-159.
    • (2003) Bull. Austral. Math. Soc , vol.68 , Issue.1 , pp. 155-159
    • Previts, W.H.1    Wu, T.-S.2
  • 25
    • 79451473460 scopus 로고    scopus 로고
    • On the existence of ergodic automorphisms in ergodic Zd -actions on compact groups
    • C. R. E. Raja. On the existence of ergodic automorphisms in ergodic Zd -actions on compact groups. Ergod. Th. & Dynam. Sys. 30 (2010), 1803-1816.
    • (2010) Ergod. Th. & Dynam. Sys , vol.30 , pp. 1803-1816
    • Raja, C.R.E.1
  • 27
    • 0041114445 scopus 로고
    • Contractive automorphisms on locally compact groups
    • E. Siebert. Contractive automorphisms on locally compact groups. Math. Z. 191 (1986), 73-90.
    • (1986) Math. Z , vol.191 , pp. 73-90
    • Siebert, E.1
  • 29
    • 0040575305 scopus 로고
    • The Mautner phenomenon for p-adic Lie groups
    • J. S. P. Wang. The Mautner phenomenon for p-adic Lie groups. Math. Z. 185 (1984), 403-412.
    • (1984) Math. Z , vol.185 , pp. 403-412
    • Wang, J.S.P.1
  • 30
    • 0001299444 scopus 로고
    • The structure of totally disconnected, locally compact groups
    • G. A. Willis. The structure of totally disconnected, locally compact groups. Math. Ann. 300 (1994), 341-363.
    • (1994) Math. Ann , vol.300 , pp. 341-363
    • Willis, G.A.1
  • 31
    • 84974423193 scopus 로고
    • Totally disconnected groups and proofs of conjectures of Hofmann and Mukherjea
    • G. A. Willis. Totally disconnected groups and proofs of conjectures of Hofmann and Mukherjea. Bull. Austral. Math. Soc. 51 (1995), 489-494.
    • (1995) Bull. Austral. Math. Soc , vol.51 , pp. 489-494
    • Willis, G.A.1
  • 32
    • 0035285134 scopus 로고    scopus 로고
    • Further properties of the scale function on a totally disconnected group
    • G. A. Willis. Further properties of the scale function on a totally disconnected group. J. Algebra 237 (2001), 142-164.
    • (2001) J. Algebra , vol.237 , pp. 142-164
    • Willis, G.A.1
  • 33
    • 3042683507 scopus 로고    scopus 로고
    • Tidy subgroups for commuting automorphisms of totally disconnected groups: An analogue of simultaneous triangularisation of matrices
    • G. A. Willis. Tidy subgroups for commuting automorphisms of totally disconnected groups: an analogue of simultaneous triangularisation of matrices. New York J. Math. 10 (2004), 1-35; available at http://nyjm.albany.edu:8000/j/ 2004/Vol10.htm.
    • (2004) New York J. Math , vol.10 , pp. 1-35
    • Willis, G.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.