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We classify all skew braces of Heisenberg type for a prime number $ p>3 $.Furthermore, we determine the automorphism group of each one of these skewbraces (as well as their socle and annihilator). Hence, by utilising a linkbetween skew braces and Hopf-Galois theory, we can determine all Hopf-Galoisstructures of Heisenberg type on Galois field extensions of fields of degree $p^{3} $.

Skew Braces and Hopf-Galois Structures of Heisenberg Type