Powerfully solvable and powerfully simple groups

被引：0
|
作者：
de las Heras, Iker [1 ]
Traustason, Gunnar [2 ]
机构：
[1] Univ Basque Country, Leioa, Spain
[2] Univ Bath, Bath, Avon, England
来源：
JOURNAL OF PURE AND APPLIED ALGEBRA | 2021年 / 225卷 / 08期
关键词：
D O I：
10.1016/j.jpaa.2021.106714
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We introduce the notion of a powerfully solvable group. These are powerful groups possessing an abelian series of a special kind. These groups include in particular the class of powerfully nilpotent groups. We will also see that for a certain rich class of powerful groups we can naturally introduce the term powerfully simple group and prove a Jordan-Holder type theorem that justifies the term. (C) 2021 Elsevier B.V. All rights reserved.
引用
收藏
页数：20
相关论文
共 50 条
  • [31] Nuclear Phase-out: Powerfully Eloquent and Full of Pictures
    Wesselmann, Christopher
    ATW-INTERNATIONAL JOURNAL FOR NUCLEAR POWER, 2015, 60 (10): : 563 - 563
  • [32] Nonlinear Splitting of Magnetoelastic Resonance Line in Powerfully Excited Ferrite
    V. S. Vlasov
    V. G. Shavrov
    V. I. Shcheglov
    Technical Physics, 2023, 68 : S618 - S623
  • [33] Supervision of supervision: Creating a group where supervisors can be powerfully vulnerable
    Bakos, Katherine
    Bull, Jillian
    White, Jacqueline
    Wicklein, RaeLynn Alvarez
    AUSTRALIAN PSYCHOLOGIST, 2018, 53 : 63 - 64
  • [34] Multiple cannabinoid signaling cascades powerfully suppress recurrent excitation in the hippocampus
    Jensen, Kyle R.
    Berthoux, Coralie
    Nasrallah, Kaoutsar
    Castillo, Pablo E.
    PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 2021, 118 (04)
  • [35] CADKEY-3 - POWERFULLY COMMITTED TO 3D DESIGN
    DEVLIN, J
    PERSONAL COMPUTING, 1989, 13 (05): : 135 - &
  • [36] F-PROSTAGLANDINS VERY POWERFULLY STIMULATE NEONATAL HEPATOCYTE GROWTH
    ARMATO, U
    IN VITRO-JOURNAL OF THE TISSUE CULTURE ASSOCIATION, 1983, 19 (03): : 289 - 289
  • [37] Powerfully solvating matrices for MALDI-TOF spectroscopy of aromatic polyesters
    Somogyi, Arpad
    Elandaloussi, El Hadj
    Hall, Douglas E.
    Padias, Anne Buyle
    Bates, Robert B.
    Hall, H. K., Jr.
    MACROMOLECULES, 2007, 40 (15) : 5311 - 5321
  • [38] Tumor-infiltrating lymphocytes: Warriors fight against tumors powerfully
    Lin, Baisheng
    Du, Likun
    Li, Hongmei
    Zhu, Xiao
    Cui, Liao
    Li, Xiaosong
    BIOMEDICINE & PHARMACOTHERAPY, 2020, 132
  • [39] A Bare (but Powerfully Soft) Footprint: China's Global Health Diplomacy
    Frimen, Ch. U., III
    Boynton, S.
    VESTNIK MEZHDUNARODNYKH ORGANIZATSII-INTERNATIONAL ORGANISATIONS RESEARCH JOURNAL, 2011, 6 (02): : 35 - 43
  • [40] Action learning and constructivist grounded theory: powerfully overlapping fields of practice
    Rand, Jane
    ACTION LEARNING, 2013, 10 (03): : 230 - 243
12345