Geodesic
Splitting groups with cubic Cayley graphs of connectivity two
Miraftab, Babak1 ; Stavropoulos, Konstantinos1
1 Universität Hamburg Department of Mathematics Bundesstraße 55 Hamburg Germany
Algebraic Combinatorics, Tome 4 (2021) no. 6, pp. 971-987 Cet article a éte moissonné depuis la source Numdam

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A group G splits over a subgroup C if G is either a free product with amalgamation A* CB or an HNN-extension G=A* C(t). We invoke Bass–Serre theory to classify all infinite groups which admit cubic Cayley graphs of connectivity two in terms of splittings over a subgroup.

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DOI : 10.5802/alco.188
Classification : 05C10, 05C63, 20E06, 20F65
Keywords: Free product with amalgamation, HNN-extension, Bass–Serre theory, planar graphs.

Miraftab, Babak 1 ; Stavropoulos, Konstantinos 1

1 Universität Hamburg Department of Mathematics Bundesstraße 55 Hamburg Germany
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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Miraftab, Babak; Stavropoulos, Konstantinos. Splitting groups with cubic Cayley graphs of connectivity two. Algebraic Combinatorics, Tome 4 (2021) no. 6, pp. 971-987. doi: 10.5802/alco.188

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