Heriot-Watt Mathematics Report Series
HWM07-11, 23 Apr 2007

Zappa-Szep products of free monoids and groups

M V Lawson


Abstract

We prove that left cancellative right hereditary monoids satisfying the dedekind height property are precisely the Zappa-Szep products of free monoids and groups. The fundamental monoids of this type are in bijective correspondence with faithful self-similar group actions.

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