On the direct product of partial Burnside rings
Group Theory
2018-01-22 v1 K-Theory and Homology
Abstract
In this paper, we describe the structure of the direct product of partial Burnside rings of relative to the collection of a finite group. In particular, we show that the unit group of the partial Burnside ring relative to the set of all parabolic subgroups of a reducible finite Coxeter group is isomorphic to the direct product of unit groups of the partial Burnside ring of irreducible Coxeter group.
Keywords
Cite
@article{arxiv.1801.06269,
title = {On the direct product of partial Burnside rings},
author = {Masahiro Wakatake},
journal= {arXiv preprint arXiv:1801.06269},
year = {2018}
}