Groups of p-deficiency one
(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.
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- author
- Thillaisundaram, Anitha LU
- publishing date
- 2014
- 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
- 2024-08-13 09:18:39
@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}}, }