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Abstract: We prove the following results: 1 Every group is a maximal subgroup of somefree idempotent generated semigroup. 2 Every finitely presented group is amaximal subgroup of some free idempotent generated semigroup arising from afinite semigroup. 3 Every group is a maximal subgroup of some free regularidempotent generated semigroup. 4 Every finite group is a maximal subgroup ofsome free regular idempotent generated semigroup arising from a finite regularsemigroup.



Author: Robert Gray, Nik Ruskuc

Source: https://arxiv.org/







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