The Resource Blocks of Finite Groups : the Hyperfocal Subalgebra of a Block, by Lluís Puig, (electronic resource)

Blocks of Finite Groups : the Hyperfocal Subalgebra of a Block, by Lluís Puig, (electronic resource)

Label
Blocks of Finite Groups : the Hyperfocal Subalgebra of a Block
Title
Blocks of Finite Groups
Title remainder
the Hyperfocal Subalgebra of a Block
Statement of responsibility
by Lluís Puig
Creator
Subject
Genre
Language
eng
Summary
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
Member of
Cataloging source
AU@
http://library.link/vocab/creatorName
Puig, Lluís
Dewey number
512.2
Index
no index present
LC call number
QA174-183
Literary form
non fiction
Nature of contents
dictionaries
Series statement
Springer Monographs in Mathematics,
http://library.link/vocab/subjectName
  • Mathematics
  • Group theory
  • Group theory
  • Mathematics
Label
Blocks of Finite Groups : the Hyperfocal Subalgebra of a Block, by Lluís Puig, (electronic resource)
Link
http://dx.doi.org/10.1007/978-3-662-11256-4
Instantiates
Publication
Antecedent source
file reproduced from original
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
mixed
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
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
Dimensions
unknown
Extent
1 online resource (v, 215 pages).
File format
unknown
Form of item
online
Isbn
9783662112564
Isbn Type
(electronic bk.)
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-662-11256-4
Quality assurance targets
unknown
Reformatting quality
access
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)851381184
  • (OCoLC)ocn851381184
Label
Blocks of Finite Groups : the Hyperfocal Subalgebra of a Block, by Lluís Puig, (electronic resource)
Link
http://dx.doi.org/10.1007/978-3-662-11256-4
Publication
Antecedent source
file reproduced from original
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
mixed
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
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
Dimensions
unknown
Extent
1 online resource (v, 215 pages).
File format
unknown
Form of item
online
Isbn
9783662112564
Isbn Type
(electronic bk.)
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-3-662-11256-4
Quality assurance targets
unknown
Reformatting quality
access
Sound
unknown sound
Specific material designation
remote
System control number
  • (OCoLC)851381184
  • (OCoLC)ocn851381184

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