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Blocks of finite groups and their in...

Sambale, Benjamin, (1985-)

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Blocks of finite groups and their invariants /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Blocks of finite groups and their invariants // Benjamin Sambale.
作者:	Sambale, Benjamin,
出版者:	Cham [Switzerland] :Springer, : 2014.,
面頁冊數:	xiii, 243 p. :ill. ;24 cm.
標題:	Finite groups. -
ISBN:	9783319120058 (hbk.) :

Blocks of finite groups and their invariants /
Sambale, Benjamin,1985-

Blocks of finite groups and their invariants /Benjamin Sambale. - Cham [Switzerland] :Springer,2014. - xiii, 243 p. :ill. ;24 cm. - Lecture notes in mathematics,2127.1617-9692 ;. - Lecture notes in mathematics (Springer-Verlag) ;2002..

Includes bibliographical references and index.

Zusammenfassung --

Providing a nearly complete selection of up-to-date methods and results on block invariants with respect to their defect groups, this book covers the classical theory pioneered by Brauer, the modern theory of fusion systems introduced by Puig, the geometry of numbers developed by Minkowski, the classification of finite simple groups, and various computer assisted methods. In a powerful combination, these tools are applied to solve many special cases of famous open conjectures in the representation theory of finite groups. Most of the material is drawn from peer-reviewed journal articles, but there are also new previously unpublished results. In order to make the text self-contained, detailed proofs are given whenever possible. Several tables add to the text's usefulness as a reference. The book is aimed at experts in group theory or representation theory who may wish to make use of the presented ideas in their research.

ISBN: 9783319120058 (hbk.) :EUR44.99Subjects--Topical Terms:

532025
Finite groups.

LC Class. No.: QA7 / .D687 2014

Dewey Class. No.: 512.23

Blocks of finite groups and their invariants /
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020 $a 3319120050 (hbk.)
020 $a 9783319120065 (ebk.)
020 $a 3319120069 (ebk.)
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100 1 $a Sambale, Benjamin, $d 1985- $3 2109653
245 1 0 $a Blocks of finite groups and their invariants / $c Benjamin Sambale.
260 # $a Cham [Switzerland] : $b Springer, $c 2014.
300 $a xiii, 243 p. : $b ill. ; $c 24 cm.
490 1 0 $a Lecture notes in mathematics, $x 1617-9692 ; $v 2127.
504 $a Includes bibliographical references and index.
505 0 # $t Zusammenfassung -- $t Introduction -- $t Fundamentals -- $t General results and methods -- $t Applications.
520 # $a Providing a nearly complete selection of up-to-date methods and results on block invariants with respect to their defect groups, this book covers the classical theory pioneered by Brauer, the modern theory of fusion systems introduced by Puig, the geometry of numbers developed by Minkowski, the classification of finite simple groups, and various computer assisted methods. In a powerful combination, these tools are applied to solve many special cases of famous open conjectures in the representation theory of finite groups. Most of the material is drawn from peer-reviewed journal articles, but there are also new previously unpublished results. In order to make the text self-contained, detailed proofs are given whenever possible. Several tables add to the text's usefulness as a reference. The book is aimed at experts in group theory or representation theory who may wish to make use of the presented ideas in their research.
650 # 0 $a Finite groups. $3 532025
650 # 0 $a Invariants. $3 555710
830 0 $a Lecture notes in mathematics (Springer-Verlag) ; $v 2002. $3 1235985