We found a match
Your institution may have rights to this item. Sign in to continue.
- Title
Groups of p-deficiency one.
- Authors
THILLAISUNDARAM, ANITHA
- 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.
- Subjects
FINITE model theory; PHOSPHORUS; INTEGERS; MATHEMATICAL models; GAUSSIAN integers; EVEN numbers
- Publication
Mathematical Proceedings of the Cambridge Philosophical Society, 2014, Vol 156, Issue 1, p115
- ISSN
0305-0041
- Publication type
Article
- DOI
10.1017/S0305004113000492