Asphericity of a length four relative group presentation
نویسندگان
چکیده
منابع مشابه
On the Asphericity of Length Four Relative Group Presentations
We investigate asphericity of the relative group presentation 〈G, t | atbtctdtet = 1〉 and prove it aspherical provided the subgroup of G generated by {ab−1, bc−1, cd−1, de−1} is neither finite cyclic nor a finite triangle group. We also prove a similar result for the closely related relative group presentation 〈G, s, t | αsβsγt = 1 = δtεtζs−1〉.
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We investigate asphericity of the relative group presentation 〈G, t | atbtctdtet = 1〉 and prove it aspherical provided the subgroup of G generated by {ab−1, bc−1, cd−1, de−1} is neither finite cyclic nor a finite triangle group. We also prove a similar result for the closely related relative group presentation 〈G, s, t | αsβsγt = 1 = δtεtζs−1〉.
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ژورنال
عنوان ژورنال: Journal of Algebra and Its Applications
سال: 2017
ISSN: 0219-4988,1793-6829
DOI: 10.1142/s0219498817500761