ALGEBRAIC COMBINATORICS

no. 6
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, Volume 4 (2021) no. 6, pp. 971-987.

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.

Received:
Revised:
Accepted:
Published online:
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
License: CC-BY 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights 
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Miraftab, Babak; Stavropoulos, Konstantinos. Splitting groups with cubic Cayley graphs of connectivity two. Algebraic Combinatorics, Volume 4 (2021) no. 6, pp. 971-987. doi : 10.5802/alco.188. https://alco.centre-mersenne.org/articles/10.5802/alco.188/

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