On sharp characters of type {−1,3} or {−3,1}-Reference-Cited by-同舟云学术

On sharp characters of type {−1,3} or {−3,1}

Published:2017-01 Issue:01 Volume:16 Page:1750004
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

Adhami S. Roghayeh¹,Iranmanesh Ali¹

Affiliation:

1. Department of Mathematics, Faculty of Mathematical Sciences, Tarbiat Modares University, P. O. Box 14115-137, Tehran, Iran

Abstract

For a character [Formula: see text] of a finite group [Formula: see text], it is known that the product [Formula: see text] is a multiple of [Formula: see text], where [Formula: see text] is the image of [Formula: see text] on [Formula: see text]. [Formula: see text] is said to be sharp of type [Formula: see text] if [Formula: see text] and [Formula: see text]. In this paper, we study the case [Formula: see text], where [Formula: see text] under the additional hypothesis [Formula: see text]. We prove that [Formula: see text] is isomorphic to [Formula: see text], [Formula: see text], [Formula: see text], or C4, and [Formula: see text] for some [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/S0219498817500049

Reference9 articles.

1. Sharp characters with irrational values

2. The Classification of Primitive Sharp Permutation Groups of Type {0,k}

3. Sharp characters of finite groups

4. Sharp characters of finite groups of type {−1, 1}

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. On sharp characters of type $\{ -1,0,2 \}$;Czechoslovak Mathematical Journal;2022-10-06

2. Groups with Sharp Character of Type $$\lbrace -1,1,3\rbrace $$;Bulletin of the Iranian Mathematical Society;2022-09-06

3. The classification of sharp permutation groups of type {0,4};Journal of Algebra and Its Applications;2022-03-28