Categorizing finite p-groups by the order of their non-abelian tensor squares-Reference-Cited by-同舟云学术

Categorizing finite p-groups by the order of their non-abelian tensor squares

Published:2016-03-30 Issue:05 Volume:15 Page:1650095
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

Jafari S. Hadi¹

Affiliation:

1. Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran

Abstract

Let [Formula: see text] be a non-abelian [Formula: see text]-generator finite [Formula: see text]-group of order [Formula: see text]. Ellis and McDermott in 1996 proved that [Formula: see text]. In the present paper, we improve this upper bound and show that [Formula: see text]. Also the [Formula: see text]-groups with derived subgroup of order [Formula: see text] which attain the bound are obtained. Among other results, we classify all finite [Formula: see text]-groups of order [Formula: see text], for [Formula: see text], with [Formula: see text], where [Formula: see text].

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021949881650095X

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