INVOLUTION GRAPHS WHERE THE PRODUCT OF TWO ADJACENT VERTICES HAS ORDER THREE

Alice Devillers, MICHAEL C. GIUDICI · Journal of the Australian Mathematical Society · 2008

Abstract An S3-involution graph for a group G is a graph with vertex set a union of conjugacy classes of involutions of G such that two involutions are adjacent if they generate an S3-subgroup in a particular set of conjugacy classes. We investigate such graphs in general and also for the case where G=PSL(2,q).

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