@article{oai:muroran-it.repo.nii.ac.jp:00010093,
 author = {TAKEGAHARA,  Yugen and 竹ケ原, 裕元},
 journal = {Advances in Mathematics},
 month = {Oct},
 note = {application/pdf, Let G be a finite group, and let A be a finite abelian G-group. For each subgroup H of G, Ω(H;A) denotes the ring of monomial representations of H with coefficients in A, which is a generalization of the Burnside ring Ω(H) of H. We research the multiplicative induction map Ω(H;A) → Ω(G;A) derived from the tensor induction map Ω(H) → Ω(G), and also research the unit group of Ω(G;A). The results are explained in terms of the first cohomology groups H1(K;A) for K ≤ G. We see that tensor induction for 1-cocycles plays a crucial role in a description of multiplicative induction. The unit group of Ω(G;A) is identified as a finitely generated abelian group. We especially study the group of torsion units of Ω(G;A), and study the unit group of Ω(G) as well.},
 title = {Multiplicative induction and units for the ring of monomial representations},
 volume = {355},
 year = {2019},
 yomi = {タケガハラ, ユウゲン}
}