Pitcairn's Island by Charles Bernard Nordhoff

After the famous mutiny, a handful of sailors and their Tahitian companions hide on a remote South Pacific isle where a fragile paradise soon collapses into jealousy, drunkenness, and bloody feuds that leave only a few survivors; over time, the lone remaining men, most notably John Adams, use religion, literacy, and hard-won discipline to remake the wreckage into a stable, moral community that is eventually encountered by a visiting British ship.

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