Pregroups and Graphs of Groups

ISBN-13: 9783330801394 / Angielski / Miękka / 2017 / 180 str.

Wadhah Jassim

Opis

The main goal of this work is to construct a graph of groups for a pregroup P from the order tree for P; to construct a pregroup from the resulting graph of groups and to generalize this idea to construct a pregroup from any arbitrary graph of groups; to show that the universal group of the pregroup U(P) is isomorphic to the fundamental group of the graph of groups constructed above; also to define a natural length function on the fundamental group of a graph of groups.By this way we have proved that any group has Length function Has an up-down pregroup.

O autorze

WADHAH S. JASSIM ,PhD: studied Mathematics at Birmingham University. Assist. Prof. at Department of Mathematics, Faculty of Science, Soran University, Soran, Erbil, Iraq. My field of study is Mathematics , main subjects is Algebra.I taught most area of mathematics for undergraduate and taught Free groups and Graph Theory for Postgraduate student.