Title of article :
Subgroups of arbitrary even ordinary depth
Author/Authors :
Janabi, Hayder Department of Algebra - Budapest University of Technology and Economics - Hungary , Breuer, Thomas Lehrstuhl für Algebra und Zahlentheorie - RWTH Aachen University - German , Horváth, Erzsébet Department of Algebra - Budapest University of Technology and Economics - Hungary
Abstract :
We show that for each positive integer n, there exist a group G and a subgroup H such that the ordinary depth d(H,G) is 2n. This solves the open problem posed by Lars Kadison whether even ordinary depth larger than 6 can occur.
Keywords
Keywords :
ordinary depth of a subgroup , distance of characters , Cartesian product of graphs , wreath product
Journal title :
International Journal of Group Theory
