Abstract:

In the present article, the authors give some properties on subinvariant
subalgebras of modular Lie superalgebras and obtain the derivation tower theorem of modular Lie superalgebras, which is analogous to the automorphism tower theorem of finite groups. Moreover, they announce
and prove some results of modular complete Lie superalgebras.

Key words: modular Lie superalgebras, complete Lie superalgebras, indecomposable Lie superalgebras, subinvariant subalgebras, the derivation tower