6533b833fe1ef96bd129c803
RESEARCH PRODUCT
On the exterior degree of the wreath product of finite abelian groups
A. ErfanianF. N. Abd ManafFrancesco G. RussoN. H. Sarminsubject
Exterior degreenonabelian exterior square$p$-groupSchur multiplierhomologySettore MAT/03 - Geometriadescription
The exterior degree $d^\wedge(G)$ 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 $G \wedge G$. 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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2013-01-01 |