A structural approach to the locality of pseudovarieties of the form $\mathbf{LH} m \mathbf{V}$

Details A structural approach to the locality of pseudovarieties of the form $\mathbf{LH} m \mathbf{V}$ A structural approach to the locality of pseudovarieties of the form $\mathbf{LH} m \mathbf{V}$

2006-12-18

arxiv.org/abs/math/0612498v1

Mathematics

Group Theory

Scientific paper

We show that if $\mathbf H$ is a Fitting pseudovariety of groups and $\mathbf
V$ is a local pseudovariety of monoids, then $\mathbf {LH}m \mathbf V$ is local
if either $\mathbf V$ contains the six element Brandt monoid, or $\mathbf H$ is
a non-trivial pseudovariety of groups closed under extension.

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