Bounding the orders of finite subgroups.

Ian J. Leary; Brita E. A. Nucinkis

Publicacions Matemàtiques (2001)

  • Volume: 45, Issue: 1, page 259-264
  • ISSN: 0214-1493

Abstract

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We give homological conditions on groups such that whenever the conditions hold for a group G, there is a bound on the orders of finite subgroups of G. This extends a result of P. H. Kropholler. We also suggest a weaker condition under which the same conclusion might hold.

How to cite

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Leary, Ian J., and Nucinkis, Brita E. A.. "Bounding the orders of finite subgroups.." Publicacions Matemàtiques 45.1 (2001): 259-264. <http://eudml.org/doc/41427>.

@article{Leary2001,
abstract = {We give homological conditions on groups such that whenever the conditions hold for a group G, there is a bound on the orders of finite subgroups of G. This extends a result of P. H. Kropholler. We also suggest a weaker condition under which the same conclusion might hold.},
author = {Leary, Ian J., Nucinkis, Brita E. A.},
journal = {Publicacions Matemàtiques},
keywords = {Grupos finitos; Cohomología; finiteness conditions; orders of finite subgroups; projective resolutions; groups of type ; cohomological dimension; Tate cohomology},
language = {eng},
number = {1},
pages = {259-264},
title = {Bounding the orders of finite subgroups.},
url = {http://eudml.org/doc/41427},
volume = {45},
year = {2001},
}

TY - JOUR
AU - Leary, Ian J.
AU - Nucinkis, Brita E. A.
TI - Bounding the orders of finite subgroups.
JO - Publicacions Matemàtiques
PY - 2001
VL - 45
IS - 1
SP - 259
EP - 264
AB - We give homological conditions on groups such that whenever the conditions hold for a group G, there is a bound on the orders of finite subgroups of G. This extends a result of P. H. Kropholler. We also suggest a weaker condition under which the same conclusion might hold.
LA - eng
KW - Grupos finitos; Cohomología; finiteness conditions; orders of finite subgroups; projective resolutions; groups of type ; cohomological dimension; Tate cohomology
UR - http://eudml.org/doc/41427
ER -

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