A Group of Automorphisms of the Rooted Dyadic Tree and Associated Gelfand Pairs

Daniele D’Angeli; Alfredo Donno

Rendiconti del Seminario Matematico della Università di Padova (2009)

  • Volume: 121, page 73-92
  • ISSN: 0041-8994

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D’Angeli, Daniele, and Donno, Alfredo. "A Group of Automorphisms of the Rooted Dyadic Tree and Associated Gelfand Pairs." Rendiconti del Seminario Matematico della Università di Padova 121 (2009): 73-92. <http://eudml.org/doc/108764>.

@article{D2009,
author = {D’Angeli, Daniele, Donno, Alfredo},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
language = {eng},
pages = {73-92},
publisher = {Seminario Matematico of the University of Padua},
title = {A Group of Automorphisms of the Rooted Dyadic Tree and Associated Gelfand Pairs},
url = {http://eudml.org/doc/108764},
volume = {121},
year = {2009},
}

TY - JOUR
AU - D’Angeli, Daniele
AU - Donno, Alfredo
TI - A Group of Automorphisms of the Rooted Dyadic Tree and Associated Gelfand Pairs
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 2009
PB - Seminario Matematico of the University of Padua
VL - 121
SP - 73
EP - 92
LA - eng
UR - http://eudml.org/doc/108764
ER -

References

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  1. [BGN] L. BARTHOLDI - R. I. GRIGORCHUK - V. NEKRASHEVYCH, From fractal groups to fractal sets, Fractals in Graz (P. Grabner and W. Woess editors), Trends in Mathematics, Birkäuser Verlag, Basel (2003), pp. 25-118. Zbl1037.20040MR2091700
  2. [BGSÏ] L. BARTHOLDI - R. I. GRIGORCHUK - Z. SÏUNIK, Branch groups, Handbook of Algebra, North-Holland, Amsterdam (2003), Vol. 3, pp. 989-1112. Zbl1140.20306MR2035113
  3. [BSÏ] L. BARTHOLDI - Z. SÏUNIK, Some solvable automaton groups, in Topological and asymptotic aspects of group theory, Contemp. Math., 394 (2006), pp. 11-30. Zbl1106.20021MR2216703
  4. [BS] G. BAUMSLAG - D. SOLITAR, Some two-generator, one relator non-Hopfian groups, Bull. Amer. Math. Soc., 68 (1962), pp. 199-201. Zbl0108.02702MR142635
  5. [CST] T. CECCHERINI-SILBERSTEIN - F. SCARABOTTI - F. TOLLI, Trees, wreath products and finite Gelfand pairs, Adv. Math., no. 206 (2006), pp. 503-537. Zbl1106.43006MR2263713
  6. [CST1] T. CECCHERINI-SILBERSTEIN - F. SCARABOTTI - F. TOLLI, Finite Gelfand pairs and their applications to Probability and Statistics, J. Math. Sci. (New York), 141, no. 2 (2007), pp. 1182-1229. Zbl1173.43001MR2462083
  7. [CST2] T. CECCHERINI-SILBERSTEIN - F. SCARABOTTI - F. TOLLI, Harmonic Analysis on Finite Groups: Representation Theory, Gelfand Pairs and Markov Chains, Cambridge Studies in Advanced Mathematics 108, Cambridge University Press, 2008. Zbl1149.43001MR2389056
  8. [D] P. DIACONIS, Group Representations in Probability and Statistics, IMS Hayward, CA, 1988. Zbl0695.60012MR964069
  9. [F] A. FIGÀ-TALAMANCA, Note del Seminario di Analisi Armonica, a.a. 1992, Università di Roma ``La Sapienza''. 

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