The construction of nuclei for normal constituents of <i>B<sub>π</sub> </i>-characters-Reference-Cited by-同舟云学术

The construction of nuclei for normal constituents of B_π -characters

Published:2023-01-01 Issue:1 Volume:21 Page:
ISSN:2391-5455
Container-title:Open Mathematics
language:en
Short-container-title:

Author:

Jin Jun¹,Zhang Junwei²

Affiliation:

1. Department of Mathematics, Jinzhong University , Jinzhong 030619 , China

2. School of Mathematical Sciences, Shanxi University , Taiyuan 030006 , China

Abstract

Abstract Let

be a

\pi

-separable group for some set

\pi

of primes, let

χ ∈ B π ( G )

\chi \in {B}_{\pi }\left(G)

and let

N ◃ G

N\hspace{0.33em}<mml:mpadded xmlns:ali="http://www.niso.org/schemas/ali/1.0/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">\triangleleft </mml:mpadded>\hspace{0.33em}G

. In this article, we explore how to construct a nucleus for an irreducible constituent of

χ N

{\chi }_{N}

via the given nucleus

( W , γ )

\left(W,\gamma )

for

\chi

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2022-0587/pdf

Reference8 articles.

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4. I. M. Isaacs, Characters of π-separable groups, J. Algebra 86 (1984), no. 1, 98–128, https://doi.org/10.1016/0021-8693(84)90058-9.

5. G. Navarro, Vertices for characters of p-solvable groups, Trans. Amer. Math. Soc. 354 (2002), no. 7, 2759–2773, https://doi.org/10.1090/s0002-9947-02-02974-4.