شماره ركورد كنفرانس :
4079
عنوان مقاله :
Bounds in Lie algebras with trivial subalgebra
پديدآورندگان :
Arabyani .H h.arabyani@iau-neyshabur.ac.ir Neyshabur Branch, Islamic Azad University , Sedighi .A .R sedighi.phd@birjand.ac.ir University of Birjand
كليدواژه :
Schur’s theorem , Lie algebra , Frattini subalgebra
عنوان كنفرانس :
چهل و هفتمين كنفرانس رياضي ايران
چكيده فارسي :
In 1904, Schur proved that if the center of a group G has finite index, then the drived subgroup, G′ is also finite. The Lie algebra analogue of Schur’s theorem is well-known. In 1994, Moneyhun showed that if L is a Lie algebra such that dim (L/Z(L)) = n, then dim (L^2) ≤ n(n−1)/2.The first author and F. Saeedi investigated the converse of Moneyhun’s theorem under some conditions. In this paper, we will extend their results
