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We constructed the Hamiltonian of spin-orbit splitting for carriers of a tubular electron gas in InAs nanowires. The spectral problem is solved using an exact numerical diagonalization. It is shown that the contribution of k-linear Dresselhaus-like spin-orbit (SO) coupling leads to renormalization of so-called SO-gaps and appearance of anticrossings in subband spectrum. These features can be detected in ballistic transport.

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