On the Exterior Degree of the Wreath Product of Finite Abelian Groups
نویسنده
چکیده
The exterior degree d∧(G) of a finite group G has been recently introduced by Rezaei and Niroomand in order to study the probability that two given elements x and y of G commute in the nonabelian exterior square G ∧ G. This notion is related with the probability d(G) that two elements of G commute in the usual sense. Motivated by a paper of Erovenko and Sury of 2008, we compute the exterior degree of a group which is the wreath product of two finite abelian p–groups (p prime). We find some numerical inequalities and study mostly abelian p-groups.
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