On the simple connectivity at infinity of groups

Daniele Ettore Otera

Bollettino dell'Unione Matematica Italiana (2003)

  • Volume: 6-B, Issue: 3, page 739-748
  • ISSN: 0392-4041

Abstract

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We study the simple connectivity at infinity of groups of finite presentation, and we give a geometric proof of its invariance under quasi-isometry in a special case.

How to cite

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Otera, Daniele Ettore. "On the simple connectivity at infinity of groups." Bollettino dell'Unione Matematica Italiana 6-B.3 (2003): 739-748. <http://eudml.org/doc/196090>.

@article{Otera2003,
abstract = {We study the simple connectivity at infinity of groups of finite presentation, and we give a geometric proof of its invariance under quasi-isometry in a special case.},
author = {Otera, Daniele Ettore},
journal = {Bollettino dell'Unione Matematica Italiana},
keywords = {Cayley complex; quasi-isometry},
language = {eng},
month = {10},
number = {3},
pages = {739-748},
publisher = {Unione Matematica Italiana},
title = {On the simple connectivity at infinity of groups},
url = {http://eudml.org/doc/196090},
volume = {6-B},
year = {2003},
}

TY - JOUR
AU - Otera, Daniele Ettore
TI - On the simple connectivity at infinity of groups
JO - Bollettino dell'Unione Matematica Italiana
DA - 2003/10//
PB - Unione Matematica Italiana
VL - 6-B
IS - 3
SP - 739
EP - 748
AB - We study the simple connectivity at infinity of groups of finite presentation, and we give a geometric proof of its invariance under quasi-isometry in a special case.
LA - eng
KW - Cayley complex; quasi-isometry
UR - http://eudml.org/doc/196090
ER -

References

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  12. POÉNARU, V., π 1 ∞ ⁢ M ~ 3 = 0 , A short outline of the proof, Prépublication d'Orsay, 73 (1999). 
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  15. TANASI, C., Sui gruppi semplicemente connessi all'infinito, Rend. Ist. Mat. Univ. Trieste, 31 (1999), 61-78. Zbl0965.57003
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