Galois theory, graphs and free groups
@article{Everitt2006GaloisTG, title={Galois theory, graphs and free groups}, author={Brent Everitt}, journal={arXiv: Group Theory}, year={2006} }
A self-contained exposition is given of the topological and Galois-theoretic properties of the category of combinatorial 1-complexes, or graphs, very much in the spirit of Stallings. A number of classical, as well as some new results about free groups are derived.
3 Citations
Solvable groups, Cayley graphs and Complexes
- Mathematics
- 2012
In this talk, we deal with the solvable groups and we use topological methods to prove some theorems in this field. In particular, we use Cayley graphs to construct suitable 2-complexes corresponding…
SOLVABILITY OF FREE PRODUCTS, CAYLEY GRAPHS AND COMPLEXES
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- 2013
In this paper, we verify the solvability of free product of finite cyclic groups with topological methods. We use Cayley graphs and Everitt methods to construct suitable 2-complexes corresponding to…
From 2-Complexes to Group Theory
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In this talk, we introduce a topological interpretation for presentation of groups which is presented by Brent Everit in 2003. In particular, Using simplicial complexes and topological methods, we…
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