Remarks on the tensor degree of finite groups
arXiv:1309.5983 · doi:10.2298/FIL1409929A
Abstract
The present paper is a note on the tensor degree of finite groups, introduced recently in literature. This numerical invariant generalizes the commutativity degree through the notion of nonabelian tensor square. We show two inequalities, which correlate the tensor and the commutativity degree of finite groups, and, indirectly, structural properties will be discussed.
5 pages; to appear with revisions in Filomat
References in corpus (5)
- Commuting powers and exterior degree of finite groups
- Relative n-isoclinism classes and relative n-th nilpotency degree of finite groups
- A generalization of the probability that the commutator of two group elements is equal to a given element
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