Commutativity Degree of Finite Groups

The commutativity degree of a group is the probability that two randomly selected (with replacement) elements of the group commute. We find bounds on the commutativity degree of a finite group, equate restricted values of commutativity degree to finite groups with particular structures, compute the commutativity degree for a number of classes of fi nite groups, and discuss the set of possible values of commutativity degree for fi nite groups.

Grantor dc:publisher

Wake Forest University

Year dc:date.issued

2010

Author dc:creator

• Castelaz, Anna

• commutativity degree

Language dc:language.iso

en_US

Handle dc:identifier.uri

http://hdl.handle.net/10339/14713

OAI identifier oai:identifier

oai:wakespace.lib.wfu.edu:10339/14713