HS-stability and complex products in involution semigroups

Bertalan Bodor, Erkko Lehtonen, Thomas Quinn-Gregson, Nikolaas Verhulst

Research output: Contribution to journalArticlepeer-review


When does the complex product of a given number of subsets of a group generate the same subgroup as their union? We answer this question in a more general form by introducing HS-stability and characterising the HS-stable involution subsemigroup generated by a subset of a given involution semigroup. We study HS-stability for the special cases of regular -semigroups and commutative involution semigroups.

Original languageBritish English
Pages (from-to)395-413
Number of pages19
JournalSemigroup Forum
Issue number2
StatePublished - Oct 2021


  • Complex product
  • Hermitian square
  • HS-stability
  • Involution semigroup


Dive into the research topics of 'HS-stability and complex products in involution semigroups'. Together they form a unique fingerprint.

Cite this