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 Brau...
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| Format: | eBook |
| Language: | English |
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Berlin, Heidelberg :
Springer Berlin Heidelberg,
2002.
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| Series: | Springer monographs in mathematics.
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| Subjects: | |
| Online Access: | Connect to the full text of this electronic book |
Table of Contents:
- I. Introduction
- II. Lifting idempotents
- III. Points of the O-algebras and multiplicity of the points
- IV. Divisors on N-interior G-algebras
- V. Restriction and induction of divisors
- VI. Local pointed groups on N-interior G-algebras
- VII. On Green's indecomposability theorem
- VIII. Fusions in N-interior G-algebras
- IX. N-interior G-algebras through G-interior algebras
- X. The group algebra
- XI. Fusion Z-algebra of a block
- XII. Source algebras of blocks
- XIII. Local structure of the hyperfocal subalgebra
- XIV. Uniqueness of the hyperfocal subalgebra
- XV. Existence of the hyperfocal subalgebra
- XVI. On the exponential and logarithmic functions in O-algebras.