# epub Theory of Blocks of the Finite Groups download

# by Lluis Puig

**ISBN:**354043514X**Author:**Lluis Puig**ePub ver:**1506 kb**Fb2 ver:**1506 kb**Rating:**4.7 of 5**Language:**English Chinese**Pages:**209**Publisher:**Springer; 2002 edition (August 5, 2002)**Formats:**txt doc lit azw**Category:**Math**Subcategory:**Mathematics

Start by marking Theory of Blocks of the Finite Groups as Want to Read . 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

Start by marking Theory of Blocks of the Finite Groups as Want to Read: Want to Read savin. ant to Read. 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.

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"; . blocks having mutually isomorphic "source algebras".

Blocks of Finite Groups: The Hyperfocal Subalgebra of a Block - Springer . contains an exposition of the author's main result on the hyperfocal subalgebra of a block.

Blocks of Finite Groups: The Hyperfocal Subalgebra of a Block - Springer Monographs in Mathematics (Paperback).

This book presents a new approach to the modular representation theory of a finite group G. Its aim is to provide a comprehensive . Mn is the disjoint union of finitely many copies of multigraphs in a fixed finite set called the base. We prove, that the list of operations we present is minimal, . Its aim is to provide a comprehensive treatment of the theory of G-algebras and to show how this theory is used to solve various problems in representation theory. Significant results have been obtained over the last 15 years by means of this approach, which also sheds new light on modular representation theory. each operation is necessary to carry out the reduction procedure.

Finding books BookSee BookSee - Download books for free. Blocks of Finite Groups: The Hyperfocal Subalgebra of a Block. 9 Mb. On the Local Structure of Morita and Rickard Equivalences between Brauer Blocks. Category: Mathematics.

AbstractLet b be a block of a finite group G with an abelian defect group P and an inertial quotient E. Let us denote by L. . Let us denote by L the semi-direct product of P and E. If E is cyclic and acts freely on P−{1}. More).

The Representation Theory of Finite Groups K�lshammer, Burkhard and Puig, Lluis 1990. Extensions of nilpotent blocks

The Representation Theory of Finite Groups. Fong, Paul and Srinivasan, Bhama 1982. The blocks of finite general linear and unitary groups. Inventiones Mathematicae, Vol. 69, Issue. Brauer, . Zur Darstellungstheorie der Gruppen endlicher Ordnung. K�lshammer, Burkhard and Puig, Lluis 1990. Extensions of nilpotent blocks. 102, Issue.

Published August 5, 2002 by Springer. Written in English, Mandarin. Blocks (Group theory), Finite groups.

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.