The equation x
2
y
2 = g in partially commutative groups |
| |
| Authors: | S L Shestakov |
| |
| Institution: | (1) Vologda State Pedagogical University, Vologda, Russia |
| |
| Abstract: | A partially commutative group is a group defined by generators and relations so that all defining relations are of the form: the commutator of two generators is equal to the identity element. We consider an algorithm for checking whether a given group element is a product of two squares. This generalizes a result of Wicks for free groups. |
| |
| Keywords: | partially commutative groups equations in groups |
| 本文献已被 SpringerLink 等数据库收录！ |
