Abstract
We consider the finite-dimensional simple modular Lie superalgebra Ω
which was defined by Zhang and Zhang (2009), over an algebraically
closed fields of characteristic p > 3. In this paper, we determine the
second cohomology group of the modular Lie superalgebra Ω by computing the first cohomology group H1
(Ω, Ω
∗
), where Ω
∗ denotes the
dual space of Ω.