Open Access
2014 Slide-and-swap permutation groups
Onyebuchi Ekenta, Han Gil Jang, Jacob Siehler
Involve 7(1): 41-55 (2014). DOI: 10.2140/involve.2014.7.41

Abstract

We present a simple tile-sliding game that can be played on any 3-regular graph, generating a permutation group on the vertices. We classify the resulting permutation groups and obtain a novel presentation for the simple group of 168 elements.

Citation

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Onyebuchi Ekenta. Han Gil Jang. Jacob Siehler. "Slide-and-swap permutation groups." Involve 7 (1) 41 - 55, 2014. https://doi.org/10.2140/involve.2014.7.41

Information

Received: 16 July 2012; Revised: 10 May 2013; Accepted: 25 May 2013; Published: 2014
First available in Project Euclid: 20 December 2017

zbMATH: 1292.20002
MathSciNet: MR3127320
Digital Object Identifier: 10.2140/involve.2014.7.41

Subjects:
Primary: 20B15 , 91A43

Keywords: graph theory , Permutation group , primitive group , simple group

Rights: Copyright © 2014 Mathematical Sciences Publishers

Vol.7 • No. 1 • 2014
MSP
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