On The Relative N-Tensor Nilpotent Degree of Finite Groups

TL;DR

This paper introduces and investigates the concept of the relative n-tensor nilpotent degree of finite groups with respect to subgroups, providing new insights into the structure of finite groups through this measure.

Contribution

The paper defines the relative n-tensor nilpotent degree and explores its properties, offering novel results on the structure of finite groups relative to subgroups.

Findings

Defined the relative n-tensor nilpotent degree for finite groups.

Established properties and bounds of this degree.

Provided examples illustrating the concept.

Abstract

In this paper, we introduce the relative $n$-tensor nilpotent degree of a finite group $G$ with respect to a subgroup $H$ of $G$. The aim of this paper is to investigate this concept and give some results on this topic.