Blocks of defect zero in finite groups with conjugate subgroups of a given prime order-Reference-Cited by-同舟云学术

Blocks of defect zero in finite groups with conjugate subgroups of a given prime order

Published:2017-10-04 Issue:11 Volume:16 Page:1750217
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

Li Tianze¹,Liu Yanjun²,Qian Guohua¹

Affiliation:

1. Department of Mathematics, Changshu Institute of Technology, Changshu, Jiangsu 215500, P. R. China

2. College of Mathematics and Information Science, Jiangxi Normal University, Nanchang, P. R. China

Abstract

Let [Formula: see text] be a finite group and [Formula: see text] be a prime. In this note, we show that if [Formula: see text] and all subgroups of [Formula: see text] of order [Formula: see text] are conjugate, then either [Formula: see text] has a [Formula: see text]-block of defect zero, or [Formula: see text] and [Formula: see text] is a direct product of a simple group [Formula: see text] and an odd order group. This improves one of our previous works.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498817502176

Reference7 articles.

1. Pure and Applied Mathematics;Isaacs I. M.,1976

2. London Mathematical Society Monographs;Jansen C.,1995

3. Blocks of defect zero in finite groups with conjugate subgroups of prime order p

4. Characters and Blocks of Finite Groups

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