ملخص
We study the quotient of a free product of groups by the normal closure of a word that is contained in a certain type of 2-generator subgroup, and hence can be expressed in the form of a pushout involving a generalized triangle group. Using the theory of generalized triangle groups, we extend the range of conditions under which a number of results for one-relator products of groups, such as the Freiheitssatz and the solubility of the word problem, are known to hold.
اللغة الأصلية | الإنجليزيّة |
---|---|
الصفحات (من إلى) | 2505-2526 |
عدد الصفحات | 22 |
دورية | Communications in Algebra |
مستوى الصوت | 32 |
رقم الإصدار | 7 |
المعرِّفات الرقمية للأشياء | |
حالة النشر | نُشِر - 2004 |
منشور خارجيًا | نعم |