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Blocks of Finite Groups: The Hyperfocal Subalgebra of a Block

Blocks of Finite Groups: The Hyperfocal Subalgebra of a Block

Hardcover

Series: Springer Monographs in Mathematics

AlgebraGeneral Mathematics

ISBN10: 354043514X
ISBN13: 9783540435143
Publisher: Springer
Published: Jun 13 2002
Pages: 215
Weight: 1.09
Height: 0.56 Width: 6.14 Depth: 9.21
Language: English

About 60 years ago, R. Brauer introduced block theory; his purpose was to study the group algebra kG of a finite group G over a field k of nonzero characteristic p: any indecomposable two-sided ideal that also is a direct summand of kG determines a G-block.
But the main discovery of Brauer is perhaps the existence of families of infinitely many nonisomorphic groups having a common block; i.e., blocks having mutually isomorphic source algebras.

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