Home > Research > Publications & Outputs > Complements of intervals and prefrattini subalg...

Electronic data

Links

Text available via DOI:

View graph of relations

Complements of intervals and prefrattini subalgebras of solvable Lie algebras.

Research output: Contribution to Journal/MagazineJournal articlepeer-review

Published

Standard

Complements of intervals and prefrattini subalgebras of solvable Lie algebras. / Towers, David A.
In: Proceedings of the American Mathematical Society, Vol. 141, No. 6, 2013, p. 1893-1901.

Research output: Contribution to Journal/MagazineJournal articlepeer-review

Harvard

Towers, DA 2013, 'Complements of intervals and prefrattini subalgebras of solvable Lie algebras.', Proceedings of the American Mathematical Society, vol. 141, no. 6, pp. 1893-1901. https://doi.org/10.1090/S0002-9939-2012-11521-7

APA

Vancouver

Towers DA. Complements of intervals and prefrattini subalgebras of solvable Lie algebras. Proceedings of the American Mathematical Society. 2013;141(6):1893-1901. doi: 10.1090/S0002-9939-2012-11521-7

Author

Towers, David A. / Complements of intervals and prefrattini subalgebras of solvable Lie algebras. In: Proceedings of the American Mathematical Society. 2013 ; Vol. 141, No. 6. pp. 1893-1901.

Bibtex

@article{a4dbbcfde0234d89bfd676f6f40301ad,
title = "Complements of intervals and prefrattini subalgebras of solvable Lie algebras.",
abstract = "In this paper we study a Lie-theoretic analogue of a generalisation of the prefrattini subgroups introduced by W. Gasch¨utz. The approach follows that of P. Hauck and H. Kurtzweil for groups, by first considering complements in subalgebra intervals. Conjugacy of these subalgebras is established for a large class of solvable Lie algebras.",
keywords = "Lie algebras, complemented, solvable, Frattini ideal, prefrattini subalgebra, residual.",
author = "Towers, {David A.}",
note = "First published in Proceedings of the American Mathematical Society in Volume 141, (6), 2013, published by the American Mathematical Society",
year = "2013",
doi = "10.1090/S0002-9939-2012-11521-7",
language = "English",
volume = "141",
pages = "1893--1901",
journal = "Proceedings of the American Mathematical Society",
issn = "1088-6826",
publisher = "American Mathematical Society",
number = "6",

}

RIS

TY - JOUR

T1 - Complements of intervals and prefrattini subalgebras of solvable Lie algebras.

AU - Towers, David A.

N1 - First published in Proceedings of the American Mathematical Society in Volume 141, (6), 2013, published by the American Mathematical Society

PY - 2013

Y1 - 2013

N2 - In this paper we study a Lie-theoretic analogue of a generalisation of the prefrattini subgroups introduced by W. Gasch¨utz. The approach follows that of P. Hauck and H. Kurtzweil for groups, by first considering complements in subalgebra intervals. Conjugacy of these subalgebras is established for a large class of solvable Lie algebras.

AB - In this paper we study a Lie-theoretic analogue of a generalisation of the prefrattini subgroups introduced by W. Gasch¨utz. The approach follows that of P. Hauck and H. Kurtzweil for groups, by first considering complements in subalgebra intervals. Conjugacy of these subalgebras is established for a large class of solvable Lie algebras.

KW - Lie algebras

KW - complemented

KW - solvable

KW - Frattini ideal

KW - prefrattini subalgebra

KW - residual.

U2 - 10.1090/S0002-9939-2012-11521-7

DO - 10.1090/S0002-9939-2012-11521-7

M3 - Journal article

VL - 141

SP - 1893

EP - 1901

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

SN - 1088-6826

IS - 6

ER -