On the T(q)-conditions of small cancellation theory
Small cancellation conditions for presentations of groups were introduced and studied by \textit{R. Lyndon} [Math. Ann. 166, 208-228 (1966; Zbl 0138.257)] and others. In the paper under review a graphical method is given which can be used to determine whether or not a group presentation satisfies the small cancellation condition T(q). This method is used to deterimine all 2- and 3-generator presentations satisfying T(4). Similar arguments can also be applied to n-generator presentations where \(n\geq 4\) but the amount of labor involved in carrying out the requisite calculations by hand is more and more prohibitive. \{Reviewer's remark: A related paper by \textit{D. J. Collins} and the reviewer [Math. Ann. 261, 155-183 (1982; Zbl 0477.20019)] is not among the references.\}
scientific article; zbMATH DE number 3935307