Contraction groups for tidy automorphisms of totally disconnected groups

Glasgow Mathematical Journal

Volumn 47, Issue 2, 2005, Pages 329-333

  Glöckner, Helge ^a  

^a DARMSTADT UNIVERSITY OF TECHNOLOGY   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 23944503342     PISSN: 00170895     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0017089505002557     Document Type: Article

References (12)

1. 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.
2. S. G. Dani and R. Shah, Contraction subgroups and semistable measures on p-adic Lie groups, Math. Proc. Camb. Phil. Soc. 110 (1991), 299-306.
3. H. Glöckner, Scale functions on p-adic Lie groups, Manuscr. Math. 97 (1998), 205-215.
4. H. Glöckner, Scale functions on Lie groups over local fields of positive characteristic, in preparation.
5. H. Glöckner and G. A. Willis, Uniscalar p-adic Lie groups, Forum Math. 13 (2001), 413-421.
6. W. Hazod, Remarks on (semi-) stable probabilities, in Probability Measures on Groups VII, Lecture Notes in Mathematics No. 1064 (Springer-Verlag, 1984), 182-203.
7. W. Hazod and E. Siebert, Automorphisms on a Lie group contracting modulo a compact subgroup and applications to semistable convolution semigroups, J. Theor. Probab. 1 (1988), 211-225.
8. E. Siebert, Contractive automorphisms on locally compact groups, Math. Z. 191 (1986), 73-90.
9. J. S. P. Wang, The Mautner phenomenon for p-adic Lie groups, Math. Z. 185 (1984), 403-412.
10. G. A. Willis, The structure of totally disconnected, locally compact groups, Math. Ann. 300 (1994), 341-363.
11. G. A. Willis, Further properties of the scale function on a totally disconnected group, J. Algebra 237 (2001), 142-164.
12. G. A. Willis, Tidy subgroups for commuting automorphisms of totally disconnected locally compact groups: An analogue of simultaneous triangularisation of matrices, New York J. Math. 10 (2004), 1-35.