Group PresentationsCovers the concept of group presentations using generators and relations to define groups.
Group Presentation of S3Covers the group presentation of S3, normal subgroups, generators, relations, quotient groups, and injective homomorphisms.
Cayley GraphsCovers Cayley graphs, generators, group examples, and graph structures.
Free Product: Group TheoryCovers the concept of the free product in group theory and how to determine monomorphisms and homomorphisms.
Proof of SurjectivityCovers the proof of surjectivity, demonstrating the existence of connections between elements through arcs.
Seifert van Kampen: the pointFocuses on the Seifert van Kampen theorem, demonstrating an isomorphism between fundamental groups using a three-dimensional diagram.
Calcul du pi1 de XUCACovers the calculation of the fundamental group of XUCA by building forms and defining applications.
