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We first demonstrate that globular cluster G1 could have been formed by tidalinteraction between M31 and a nucleated dwarf galaxy (dE,N). Our fullyself-consistent numerical simulations show that during tidal interactionbetween M31 and G1's progenitor dE,N with $M_{\rm B}$ $\sim$ -15 mag and itsnucleus mass of $\sim$ $10^7$ $M_{\odot}$, the dark matter and the outerstellar envelope of the dE,N are nearly completely stripped whereas the nucleuscan survive the tidal stripping because of its initially compact nature. Thenaked nucleus (i.e., G1) has orbital properties similar to those of itsprogenitor dE,N. The stripped stars form a metal-poor ([Fe/H] $\sim$ -1)stellar halo around M31 and its structure and kinematics depend strongly on theinitial orbit of G1's progenitor dE,N. We suggest that the observed largeprojected distance of G1 from M31 ($\sim$ 40 kpc) can give some strongconstraints on the central density of the dark matter halo of dE,N. We discussthese results in the context of substructures of M31's stellar halo recentlyrevealed by Ferguson et al. (2002).Comment: 8 pages and 4 figures (one color gif file for Fig. 1) A&A in pres

Formation of giant globular cluster G1 and the origin of the M 31 stellar halo