Minimal degrees of invariants of (super)groups–a connection to cryptology

František Marko, Alexandr N. Zubkov

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


We investigate questions related to the minimal degree of invariants of finitely generated diagonalizable groups. These questions were raised in connection to security of a public key cryptosystem based on invariants of diagonalizable groups. We derive results for minimal degrees of invariants of finite groups, abelian groups and algebraic groups. For algebraic groups we relate the minimal degree of the group to the minimal degrees of its tori. Finally, we investigate invariants of certain supergroups that are superanalogs of tori. It is interesting to note that a basis of these invariants is not given by monomials.

Original languageEnglish
Pages (from-to)2340-2355
Number of pages16
JournalLinear and Multilinear Algebra
Issue number11
Publication statusPublished - Nov 2 2017
Externally publishedYes


  • Cryptosystem
  • diagonalizable group
  • invariants
  • number field
  • supergroup

ASJC Scopus subject areas

  • Algebra and Number Theory


Dive into the research topics of 'Minimal degrees of invariants of (super)groups–a connection to cryptology'. Together they form a unique fingerprint.

Cite this