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portada blocks of finite groups: the hyperfocal subalgebra of a block
Type
Physical Book
Author
Publisher
Year
2010
Language
English
Pages
215
Format
Paperback
Dimensions
23.4 x 15.6 x 1.2 cm
Weight
0.32 kg.
ISBN
3642078028
ISBN13
9783642078026
Categories

blocks of finite groups: the hyperfocal subalgebra of a block

Lluis Puig (Author) · Springer · Paperback

blocks of finite groups: the hyperfocal subalgebra of a block - Puig, Lluis

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Synopsis "blocks of finite groups: the hyperfocal subalgebra of a block"

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".In this book, based on a course given by the author at Wuhan University in 1999, all the concepts mentioned are introduced, and all the proofs are developed completely. Its main purpose is the proof of the existence and the uniqueness of the "hyperfocal subalgebra" in the source algebra. This result seems fundamental in block theory; for instance, the structure of the source algebra of a nilpotent block, an important fact in block theory, can be obtained as a corollary. The exceptional layout of this bilingual edition featuring 2 columns per page (one English, one Chinese) sharing the displayed mathematical formulas is the joint achievement of the author and A. Arabia.

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