Some Classes of Generalized Graph Groups

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• Mehmet Sefa Cihan, University of Essex
• Friday 25 October 2019, 15:00-16:00
• CMS, MR13.

If you have a question about this talk, please contact Liam Jolliffe.

In this talk, we will provide an overview of results in generalised graph groups, for graphs with |V|=|A|-1 (where |V| is the number of vertices and |A| is the number of arcs), and Circulant digraphs. This talk will turn its attention to prove whether these corresponding groups of the possible graphs under |V|=|A|-1 are finite cyclic group or not. In some cases we are able to show that they are finite cyclic group (22 of 31 possible graphs), in others that the rank is at least 1 or 2. We will also demonstrate the order of these groups. In terms of Circulant digraphs, we will give the exact order for generalised graph groups corresponding to Circulant digraphs.

This talk is part of the Junior Algebra and Number Theory seminar series.

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