Journal article
Deficiency and abelianized deficiency of some virtually free groups
- Abstract:
-
Let $Q_m$ be the HNN extension of $\Z/m \times \Z/m$ where the stable letter conjugates the first factor to the second. We explore small presentations of the groups $\Gamma_{m,n}=Q_m \ast Q_n$. We show that for certain choices of (m,n), for example (2,3), the group $\Gamma_{m,n}$ has a relation gap unless it admits a presentation with at most 3 defining relations, and we establish restrictions on the possible form of such a presentation. We then associate to each (m,n) a 3-complex with 16 cel...
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- Publication status:
- Published
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- Publisher copy:
- 10.1017/SO30500410700045X
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Bibliographic Details
- Journal:
- MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY
- Volume:
- 143
- Issue:
- 2
- Pages:
- 257-264
- Publication date:
- 2006-07-26
- DOI:
- EISSN:
-
1469-8064
- ISSN:
-
0305-0041
- URN:
-
uuid:8586f91f-a42c-47b8-9146-5a0b4cc278be
- Source identifiers:
-
19428
- Local pid:
- pubs:19428
Item Description
- Language:
- English
- Keywords:
Terms of use
- Copyright date:
- 2006
- Notes:
-
7 pages; no figures. Minor changes; now to appear in Math. Proc.
Camb. Phil. Soc
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