On the Asphericity of Length Five Relative Group Presentations
نویسندگان
چکیده
منابع مشابه
On the asphericity of length five 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〉.
متن کاملOn 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〉.
متن کاملAsphericity of Symmetric Presentations
Using the notion of relative presentation due to Bogley and Pride, we give a new proof of a theorem of Prishchepov on the asphericity of certain symmetric presentations of groups. Then we obtain further results and applications to topology of low-dimensional manifolds. 1. Relative presentations This section is devoted to recall some definitions and results on the asphericity of relative present...
متن کاملLength-weight and length-length relationships, Relative condition factor and Fulton?s condition factor of Five Cyprinid species in Anzali wetland, southwest of the Caspian Sea
This study was conducted to determine length-weight and length-length relationships, relative condition factor (Krel) and Fulton?s condition factor (K) for five species including Scardinius erythrophtalmus, Carassius auratus gibelio, Cyprinus carpio, Tinca tinca and Hemiculter leucisculus belonging to Cyprinidae family. Fish sampling was carried out by gill net and fyke net in the western regio...
متن کاملOn the Minimal Length of Semigroup Presentations
We define the length of a semigroup presentation and related ideas. Theoretical results and bounds are presented, gained while investigating the lengths of groups defined by semigroup presentations. Minimal length semigroup presentations are obtained in certain cases. AMS Mathematics Subject Classification (2000): 20F05, 20M05
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the London Mathematical Society
سال: 2001
ISSN: 0024-6115
DOI: 10.1112/s0024611500012752