A note on maximal subgroups of free idempotent generated semigroups over bands

Mathematics – Group Theory

Scientific paper

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10 pages; to appear in Periodica Mathematica Hungarica

Scientific paper

We prove that all maximal subgroups of the free idempotent generated
semigroup over a band B are free for all B belonging to a band variety V if and
only if V consists either of left seminormal bands, or of right seminormal
bands.

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