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This paper is devoted to a study of the automorphism groups of three seriesof finite dimensional special odd Hamiltonian superalgebras $\mathfrak{g}$ overa field of prime characteristic. Our aim is to characterize the connectionsbetween the automorphism groups of $\mathfrak{g}$ and the automorphism groupsof the corresponding underlying superalgebras. Precisely speaking, we embed theformer into the later. Moreover, we determine the images of the normal seriesof the automorphism groups and homogeneous automorphism groups of$\mathfrak{g.}$

Automorphism groups of the finite dimensional special odd Hamiltonian superalgebras in prime characteristic