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math.GR2026
Normal-Core Compression for Units in Burnside Rings
Masahiro Wakatake
Let be a finite group. We study the additive map on the Burnside ring of that sends an orbit to , which we call the \emph{normal-core…
math.GR2018
On the unit groups of partial Burnside rings
M. Wakatake
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…
math.GR2018
Tensor products and units of partial Burnside rings
Masahiro Wakatake
In this paper, we study tensor products of partial Burnside rings relative to collections of subgroups of finite groups. We give a necessary and sufficient condition for the canoni…