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math.GR2016
The degree of commutativity and lamplighter groups
Charles Garnet Cox
The degree of commutativity of a group measures the probability of choosing two elements in which commute. There are many results studying this for finite groups. In [AMV17…
math.GR2016
A note on the property for groups
Charles Garnet Cox
Given a set , the group consists of all bijections from to , and is the subgroup of maps with finite support i.e. those that move onl…