June 2019 A finite group in which all non-nilpotent maximal subgroups are normal has a Sylow tower
Jiangtao SHI
Hokkaido Math. J. 48(2): 309-312 (June 2019). DOI: 10.14492/hokmj/1562810510

Abstract

In this paper we prove that a finite group in which all non-nilpotent maximal subgroups are normal must have a Sylow tower, which improves Theorem 1.3 of [Finite groups with non-nilpotent maximal subgroups, Monatsh Math. 171 (2013) 425–431.].

Citation

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Jiangtao SHI. "A finite group in which all non-nilpotent maximal subgroups are normal has a Sylow tower." Hokkaido Math. J. 48 (2) 309 - 312, June 2019. https://doi.org/10.14492/hokmj/1562810510

Information

Published: June 2019
First available in Project Euclid: 11 July 2019

zbMATH: 07080096
MathSciNet: MR3980944
Digital Object Identifier: 10.14492/hokmj/1562810510

Subjects:
Primary: 20D10

Keywords: non-nilpotent maximal subgroup , normal , solvable , Sylow tower

Rights: Copyright © 2019 Hokkaido University, Department of Mathematics

Vol.48 • No. 2 • June 2019
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