Asphericity of length six relative group presentations
Aldwaik, Suzana (2016) Asphericity of length six relative group presentations. PhD thesis, University of Nottingham.
Combinatorial group theory is a part of group theory that deals with groups given by presentations in terms of generators and defining relations. Many techniques both algebraic and geometric are used in dealing with problems in this area. In this thesis, we adopt the geometric approach. More specifically, we use so-called pictures over relative presentations to determine the asphericity of such presentations. We remark that if a relative presentation is aspherical then group theoretic information can be deduced.
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