Johnson, D. L.; Kim, A. C.; O’Brien, E. A. Certain cyclically presented groups are isomorphic. (English) Zbl 0932.20034 Commun. Algebra 27, No. 7, 3531-3536 (1999). For all \(n\geq 1\) the two cyclically presented groups \[ G_1(n)=\langle x_i\mid x^{-1}_{i+1}x_{i+2}x^{-1}_{i+1}x_{i+2}x_ix^{-1}_{i+1}x_i=1\rangle_n \] and \[ G_2(n)=\langle y_i\mid y^{-1}_{i+1}y_{i+2}y_iy^{-1}_{i+1}y_{i+2}y^{-1}_{i+1}y_i=1\rangle_n \] are isomorphic. Reviewer: G.Rosenberger (Dortmund) Cited in 6 ReviewsCited in 7 Documents MSC: 20F05 Generators, relations, and presentations of groups Keywords:cyclically presented groups Software:QUOTPIC PDFBibTeX XMLCite \textit{D. L. Johnson} et al., Commun. Algebra 27, No. 7, 3531--3536 (1999; Zbl 0932.20034) Full Text: DOI References: [1] DOI: 10.1017/CBO9780511629259.040 · doi:10.1017/CBO9780511629259.040 [2] Holt Derek F., Groups and Computation 11 pp 113– (1991) [3] DOI: 10.1007/BF02756877 · Zbl 0285.20033 · doi:10.1007/BF02756877 [4] Johnson D.L., London Math. Soc. Stud. Texts 15 (1990) [5] Chi Kum, Ann and Vesnin, Andrei. 1997. Cyclically presented groups and Takahashi manifolds. Analysis of Discrete Groups II, Proceedings Kyoto Mathematical Institute. December1997. pp.200–212. · Zbl 0933.57001 [6] DOI: 10.1006/jsco.1994.1007 · Zbl 0824.20020 · doi:10.1006/jsco.1994.1007 [7] Rolfsen Dale, Mathematics Lecture Series 7 (1976) [8] Takahashi Moto-o, Tsukuba J. Math 13 pp 175– (1989) This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.