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edited Apr 13, 2017 at 12:58

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It may well be a lot easier than this, but it follows from the answer to the weaker question Can a group be a finite union of (left) cosets of infinite-index subgroups?Can a group be a finite union of (left) cosets of infinite-index subgroups? that it's not possible.

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created Sep 7, 2015 at 16:21

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It may well be a lot easier than this, but it follows from the answer to the weaker question Can a group be a finite union of (left) cosets of infinite-index subgroups? that it's not possible.