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Abelian and hamiltonian groups with isomorphic Burnside rings are isomorphic

✍ Scribed by Alberto Raggi-Cárdenas; Ernesto Vallejo


Book ID
112495557
Publisher
Springer
Year
1992
Tongue
English
Weight
248 KB
Volume
58
Category
Article
ISSN
0003-889X

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Perfect Isometries and Isotypies for Blo
✍ Yoko Usami 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 367 KB

Let b be a p-block of a finite group G with abelian defect group P and e a root Ž . Ž Ž . Ž .. of b in C P . If the inertial quotient E s N P, e rPиC P is isomorphic to G G G Z = = = = = Z and p P 7, then there is a perfect isometry from the group of generalized 4 2 characters of some twisted group

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✍ Yoko Usami 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 299 KB

Let b be a p-block of a finite group G with abelian defect group P and e a root Ž . , then there is a perfect isometry from the group of general-3 3 ized characters of some twisted group algebra of the semidirect product of E and P onto the group of generalized characters of G in b, and, furthermor