On the multiple exterior degree of finite groups

In: Mathematica Slovaca, vol. 64, no. 4

Rashid Rezaei - Peyman Niroomand - Ahmad Erfanian

Detaily:

Rok, strany: 2014, 859 - 870

Kľúčové slová:

exterior degree, multiple exterior degree, multiple commutativity degree, capable groups, Schur multiplier

DOI: https://doi.org/10.2478/s12175-014-0244-4

O článku:

Recently the first two authors have introduced a group invariant, called exterior degree, which is related to the number of elements $x$ and $y$ of a finite group $G$ such that $x\wedge y=1$ in the exterior square $G\wedge G$ of $G$. Research on this topic gives some relations between this concept, the Schur multiplier and the capability of a finite group. In the present paper, we will generalize the concept of exterior degree of groups and we will introduce the multiple exterior degree of finite groups. Among other results, we will obtain some relations between the multiple exterior degree, multiple commutativity degree and capability of finite groups.

Ako citovať:

ISO 690:

Rezaei, R., Niroomand, P., Erfanian, A. 2014. On the multiple exterior degree of finite groups. In Mathematica Slovaca, vol. 64, no.4, pp. 859-870. 0139-9918. DOI: https://doi.org/10.2478/s12175-014-0244-4

APA:

Rezaei, R., Niroomand, P., Erfanian, A. (2014). On the multiple exterior degree of finite groups. Mathematica Slovaca, 64(4), 859-870. 0139-9918. DOI: https://doi.org/10.2478/s12175-014-0244-4

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