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Theory of Blocks of the Finite Groups [Hardcover]

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Item description for Theory of Blocks of the Finite Groups by Lluis Puig...

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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Item Specifications...

Pages   209
Est. Packaging Dimensions:   Length: 9.21" Width: 6.14" Height: 0.56"
Weight:   1.1 lbs.
Binding  Hardcover
Release Date   Aug 5, 2002
Publisher   Springer
ISBN  354043514X  
ISBN13  9783540435143  

Availability  92 units.
Availability accurate as of May 29, 2017 03:15.
Usually ships within one to two business days from La Vergne, TN.
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1Books > Foreign Language Books > Chinese > All Chinese Books
2Books > Foreign Language Books > Chinese > Nonfiction
3Books > Foreign Language Books > Chinese > Professional & Technical
4Books > Special Features > New & Used Textbooks > Sciences > Mathematics
5Books > Subjects > Professional & Technical > Professional Science > Mathematics > Pure Mathematics > Group Theory
6Books > Subjects > Science > General
7Books > Subjects > Science > Mathematics > General
8Books > Subjects > Science > Mathematics > Pure Mathematics > Group Theory

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