English

On the unit groups of partial Burnside rings

Group Theory 2018-06-19 v1 Representation Theory

Abstract

We describe the generalized Matsuda's theorem, and some results of a Burnside ring extend a partial Burnside ring. In particular, we give isomorphism between partial Burnside rings of different groups. Moreover, we consider the relationship between image of Frobenius-Wielandt homomorphism, a partial Burnside ring, and structure of a group.

Keywords

Cite

@article{arxiv.1806.06251,
  title  = {On the unit groups of partial Burnside rings},
  author = {M. Wakatake},
  journal= {arXiv preprint arXiv:1806.06251},
  year   = {2018}
}
R2 v1 2026-06-23T02:32:03.650Z