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On complemented non-abelian chief factors of Lie algebras

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On complemented non-abelian chief factors of Lie algebras. / Ciloglu, Zekiye; Towers, David Anthony.
In: Journal of Lie Theory, Vol. 28, No. 2, 01.07.2018, p. 427-442.

Research output: Contribution to Journal/Magazine › Journal article › peer-review

Harvard

Ciloglu, Z & Towers, DA 2018, 'On complemented non-abelian chief factors of Lie algebras', Journal of Lie Theory, vol. 28, no. 2, pp. 427-442. <http://www.heldermann.de/JLT/JLT28/JLT282/jlt28019.htm>

APA

Ciloglu, Z., & Towers, D. A. (2018). On complemented non-abelian chief factors of Lie algebras. Journal of Lie Theory, 28(2), 427-442. http://www.heldermann.de/JLT/JLT28/JLT282/jlt28019.htm

Vancouver

Ciloglu Z, Towers DA. On complemented non-abelian chief factors of Lie algebras. Journal of Lie Theory. 2018 Jul 1;28(2):427-442. Epub 2018 Jan 1.

Author

Ciloglu, Zekiye ; Towers, David Anthony. / On complemented non-abelian chief factors of Lie algebras. In: Journal of Lie Theory. 2018 ; Vol. 28, No. 2. pp. 427-442.

Bibtex

@article{94b1c31bb92a4443b1062e0af5c89d2b,
title = "On complemented non-abelian chief factors of Lie algebras",
abstract = "The number of Frattini chief factors or of chief factors which arecomplemented by a maximal subalgebra of a nite-dimensional Lie algebra Lis the same in every chief series for L, by [13, Theorem 2.3]. However, this isnot the case for the number of chief factors which are simply complemented inL. In this paper we determine the possible variation in that number.",
author = "Zekiye Ciloglu and Towers, {David Anthony}",
year = "2018",
month = jul,
day = "1",
language = "English",
volume = "28",
pages = "427--442",
journal = "Journal of Lie Theory",
issn = "0949-5932",
publisher = "Heldermann Verlag",
number = "2",

}

RIS

TY - JOUR

T1 - On complemented non-abelian chief factors of Lie algebras

AU - Ciloglu, Zekiye

AU - Towers, David Anthony

PY - 2018/7/1

Y1 - 2018/7/1

N2 - The number of Frattini chief factors or of chief factors which arecomplemented by a maximal subalgebra of a nite-dimensional Lie algebra Lis the same in every chief series for L, by [13, Theorem 2.3]. However, this isnot the case for the number of chief factors which are simply complemented inL. In this paper we determine the possible variation in that number.

AB - The number of Frattini chief factors or of chief factors which arecomplemented by a maximal subalgebra of a nite-dimensional Lie algebra Lis the same in every chief series for L, by [13, Theorem 2.3]. However, this isnot the case for the number of chief factors which are simply complemented inL. In this paper we determine the possible variation in that number.

M3 - Journal article

VL - 28

SP - 427

EP - 442

JO - Journal of Lie Theory

JF - Journal of Lie Theory

SN - 0949-5932

IS - 2

ER -