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In 2004, Bresson et al. proposed an authentication and group key agreement protocol for unbalanced wireless networks. Tseng recently proposed a novel secure protocol to improve Bresson et al.'s protocol. However, both protocols are insecure against the so-called impersonation attacks. This paper proposes a mutual authenticated group key agreement protocol based on RSA, discrete logarithms (DL) and one-way hash function (OHF) assumptions. The proposed protocol is more secure and efficient than previously proposed protocols for unbalanced wireless mobile networks.