‎The Lengths of Conjugate Type Vectors in a Finite Group and Their Applications

Kayvan Moradipour

Abstract


In this paper‎, ‎we first introduce a class of a finite group which is covered all finite metacyclic 2-groups of Beuelre's classification‎. ‎Next‎, ‎we obtain the size of centralizers‎

‎and also conjugate type vector of the groups‎. ‎Finally‎, ‎explicit formulas for the n-th commutativity degree of such groups is obtained‎

‎as a direct application of the results‎


Keywords


Centralizer‎, ‎Commutativity degree‎, ‎Type vector‎

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