F. Oda

activity

20192026

most citedCrossed Burnside rings and cohomological Mackey

2

-motives

3 citations · 3 across the 2 of their papers we have counts for

collaborators

3 papers

math.GR2026

Deflation map and the sum of inverses of the element orders in finite groups

Fumihito Oda

Let $G$ be a finite group. In this note, we construct an element $σ^{G}$ in the Burnside ring of $G$ over $Q$ , which gives a rational number $m (G)$ that is the sum of the in…

math.RT2022★ 3 cited

Crossed Burnside rings and cohomological Mackey $2$ -motives

Fumihito Oda, Yugen Takegahara, Tomoyuki Yoshida

Balmer and Dell'Ambrogio introduced the pseudo-functor $P$ from the bicategory of $k$ -linear Mackey $2$ -motives to the bicategory of $k$ -linear cohomological Mackey $2$ -motives ove…

math.GR2019

The lattice Burnside rings

Fumihito Oda, Yugen Takegahara, Tomoyuki Yoshida

We introduce the concept of lattice Burnside ring for a finite group G associated to a family of nonempty sublattices of a finite G-lattice assigned to subgroups of G. The slice Bu…

Deflation map and the sum of inverses of the element orders in finite groups

Crossed Burnside rings and cohomological Mackey 2-motives

The lattice Burnside rings

Crossed Burnside rings and cohomological Mackey $2$ -motives