Two-relator groups with prescribed cohomological dimension
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- by James Howie
- Proc. Amer. Math. Soc. 100 (1987), 393-394
- DOI: https://doi.org/10.1090/S0002-9939-1987-0884487-X
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Abstract:
For each integer $n \geqslant 2$, an example is constructed of a $2$-generator, $2$-relator presentation of a group $G(n)$ of cohomological dimension $n + 1$.References
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- James Howie, On locally indicable groups, Math. Z. 180 (1982), no. 4, 445–461. MR 667000, DOI 10.1007/BF01214717
- Roger C. Lyndon, Cohomology theory of groups with a single defining relation, Ann. of Math. (2) 52 (1950), 650–665. MR 47046, DOI 10.2307/1969440
Bibliographic Information
- © Copyright 1987 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 100 (1987), 393-394
- MSC: Primary 20J99; Secondary 20F05
- DOI: https://doi.org/10.1090/S0002-9939-1987-0884487-X
- MathSciNet review: 884487