Rights statement: The final, definitive version of this article has been published in the Journal, Journal of Pure and Applied Algebra Volume 216, Issue 3, March 2012, Pages 688-693 © ELSEVIER.
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Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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TY - JOUR
T1 - Maximal subalgebras of Lie algebras containing Engel subalgebras.
AU - Towers, David A.
N1 - The final, definitive version of this article has been published in the Journal, Journal of Pure and Applied Algebra Volume 216, Issue 3, March 2012, Pages 688-693 © ELSEVIER.
PY - 2012/3
Y1 - 2012/3
N2 - Relationships between certain properties of maximal subalgebras of a Lie algebra L and the structure of L itself have been studied by a number of authors. Amongst the maximal subalgebras, however, some exert a greater influence on particular results than others. Here we study properties of those maximal subalgebras that contain Engel subalgebras, and of those that also have codimension greater than one in L.
AB - Relationships between certain properties of maximal subalgebras of a Lie algebra L and the structure of L itself have been studied by a number of authors. Amongst the maximal subalgebras, however, some exert a greater influence on particular results than others. Here we study properties of those maximal subalgebras that contain Engel subalgebras, and of those that also have codimension greater than one in L.
KW - Lie algebras
KW - c-ideals
KW - maximal subalgebras
KW - Engel subalgebras
KW - solvable algebras
KW - supersolvable algebras
KW - subalgebras of codimension one.
U2 - 10.1016/j.jpaa.2011.08.004
DO - 10.1016/j.jpaa.2011.08.004
M3 - Journal article
VL - 216
SP - 688
EP - 693
JO - Journal of Pure and Applied Algebra
JF - Journal of Pure and Applied Algebra
SN - 0022-4049
IS - 3
ER -