On finite groups acting on acyclic complexes of dimension two.

Carles Casacuberta; Warren Dicks

Publicacions Matemàtiques (1992)

  • Volume: 36, Issue: 2A, page 463-466
  • ISSN: 0214-1493

Abstract

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We conjecture that every finite group G acting on a contractible CW-complex X of dimension 2 has at least one fixed point. We prove this in the case where G is solvable, and under this additional hypothesis, the result holds for X acyclic.

How to cite

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Casacuberta, Carles, and Dicks, Warren. "On finite groups acting on acyclic complexes of dimension two.." Publicacions Matemàtiques 36.2A (1992): 463-466. <http://eudml.org/doc/41726>.

@article{Casacuberta1992,
abstract = {We conjecture that every finite group G acting on a contractible CW-complex X of dimension 2 has at least one fixed point. We prove this in the case where G is solvable, and under this additional hypothesis, the result holds for X acyclic.},
author = {Casacuberta, Carles, Dicks, Warren},
journal = {Publicacions Matemàtiques},
keywords = {Smith theory; fixed point; finite solvable group; acyclic CW-complex},
language = {eng},
number = {2A},
pages = {463-466},
title = {On finite groups acting on acyclic complexes of dimension two.},
url = {http://eudml.org/doc/41726},
volume = {36},
year = {1992},
}

TY - JOUR
AU - Casacuberta, Carles
AU - Dicks, Warren
TI - On finite groups acting on acyclic complexes of dimension two.
JO - Publicacions Matemàtiques
PY - 1992
VL - 36
IS - 2A
SP - 463
EP - 466
AB - We conjecture that every finite group G acting on a contractible CW-complex X of dimension 2 has at least one fixed point. We prove this in the case where G is solvable, and under this additional hypothesis, the result holds for X acyclic.
LA - eng
KW - Smith theory; fixed point; finite solvable group; acyclic CW-complex
UR - http://eudml.org/doc/41726
ER -

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