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Groups of p-deficiency one

Thillaisundaram, Anitha LU (2014) In Mathematical Proceedings of the Cambridge Philosophical Society 156(1). p.115-121
Abstract
In a previous paper, Button and Thillaisundaram proved that all finitely presented groups of p-deficiency greater than one are p-large. Here we prove that groups with a finite presentation of p-deficiency one possess a finite index subgroup that surjects onto the integers. This implies that these groups do not have Kazhdan's property (T). Additionally, we show that the aforementioned result of Button and Thillaisundaram implies a result of Lackenby.
Please use this url to cite or link to this publication:
author
publishing date
type
Contribution to journal
publication status
published
subject
in
Mathematical Proceedings of the Cambridge Philosophical Society
volume
156
issue
1
pages
115 - 121
publisher
Cambridge University Press
external identifiers
  • scopus:84890728683
ISSN
1469-8064
DOI
10.1017/S0305004113000492
language
English
LU publication?
no
id
9ca98a08-fd42-4ae2-897f-b563b7b21814
date added to LUP
2024-06-07 14:34:59
date last changed
2025-04-04 13:58:42
@article{9ca98a08-fd42-4ae2-897f-b563b7b21814,
  abstract     = {{In a previous paper, Button and Thillaisundaram proved that all finitely presented groups of p-deficiency greater than one are p-large. Here we prove that groups with a finite presentation of p-deficiency one possess a finite index subgroup that surjects onto the integers. This implies that these groups do not have Kazhdan's property (T). Additionally, we show that the aforementioned result of Button and Thillaisundaram implies a result of Lackenby.}},
  author       = {{Thillaisundaram, Anitha}},
  issn         = {{1469-8064}},
  language     = {{eng}},
  number       = {{1}},
  pages        = {{115--121}},
  publisher    = {{Cambridge University Press}},
  series       = {{Mathematical Proceedings of the Cambridge Philosophical Society}},
  title        = {{Groups of p-deficiency one}},
  url          = {{http://dx.doi.org/10.1017/S0305004113000492}},
  doi          = {{10.1017/S0305004113000492}},
  volume       = {{156}},
  year         = {{2014}},
}