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Perfect Isometries for Blocks with Abelian Defect Groups and Cyclic Inertial Quotients of Order 4

✍ Scribed by L. Puig


Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
333 KB
Volume
172
Category
Article
ISSN
0021-8693

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πŸ“œ SIMILAR VOLUMES


Perfect Isometries for Principal Blocks
✍ Yoko Usami πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 400 KB

Let b be the principal p-block of a finite group G with an abelian defect group Ε½ . Ε½ Ε½ . Ε½ .. P and e a root of b in C P . If the inertial quotient E s N P, e rPΠΈC P is G G G Ε½ . an elementary abelian 2-group respectively, a dihedral group of order 8 and Ε½ . p / 3, then b and its Brauer correspond

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Let b be a p-block of a finite group G with abelian defect group P and e a root Ε½ . Ε½ Ε½ . Ε½ .. of b in C P . If the inertial quotient E s N P, e rPΠΈC 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

Perfect Isometries and Isotypies for Blo
✍ Yoko Usami πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 299 KB

Let b be a p-block of a finite group G with abelian defect group P and e a root Ε½ . , 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