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- W2788896401 abstract "The generating graph of a finite group is a structure which can be used to encode certain information about the group. It was introduced by Liebeck and Shalev and has been further investigated by Lucchini, Mar'oti, Roney-Dougal and others. We investigate maximal cocliques (totally disconnected induced subgraphs of the generating graph) in $operatorname{PSL}_2(q)$ for $q$ a prime power and provide a classification for when $q$ is prime. We then provide an interesting geometric example which contradicts this result when $q$ is not prime and illustrate why the methods used for the prime case do not immediately extend to the prime-power case with the same result." @default.
- W2788896401 created "2018-03-06" @default.
- W2788896401 creator A5076027931 @default.
- W2788896401 date "2018-02-26" @default.
- W2788896401 modified "2023-09-27" @default.
- W2788896401 title "Maximal Cocliques in $operatorname{PSL}_2(q)$" @default.
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- W2788896401 hasPublicationYear "2018" @default.
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