On polynomial functions on squarefree expanded groups

Description

We show that on a finite expanded group whose order is squarefree and whose congruence lattice forms a chain every commutator preserving function is polynomial. This generalizes a previous result by E.~Aichinger and P.~Mayr that characterizes the polynomially inequivalent expansions of groups whose orders are a product of $2$ distinct primes. Still we do not have a proof for P.~M.~Idziak's conjecture that each squarefree group has only finitely many polynomially inequivalent expansions.

Period	11 Feb 2006
Event title	71st Workshop on General Algebra (AAA71) together with 21st Conference for Young Algebraists (CYA21)
Event type	Conference
Location	PolandShow on map