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math.GR2026
Deflation map and the sum of inverses of the element orders in finite groups
Fumihito Oda
Let be a finite group. In this note, we construct an element in the Burnside ring of over , which gives a rational number that is the sum of the in…
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…