On the subgroup permutability degree of the simple Suzuki groups

Abstract

We prove that the subgroup permutability degree of the simple Suzuki groups vanishes asymptotically. In the course of the proof we establish that the limit of the probability of a subgroup of $\Sz(q)$ being a 2-group is equal to 1.

18 pages, no figures, minor corrections

Cited by in corpus (3)

• Considerations on the subgroup commutativity degree and related notions
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• Factorization number and subgroup commutativity degree via spectral invariants