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Feldname	Details
Dewey Class	512.2
Titel	Twin Buildings and Applications to S-Arithmetic Groups ([EBook] /) / by Peter Abramenko.
Verfasser	Abramenko, Peter
Other name(s)	SpringerLink (Online service)
Veröffentl	Berlin, Heidelberg : : Springer Berlin Heidelberg : : Imprint: Springer, , 1996.
Physical Details	X, 130 p. : online resource.
Reihe	Lecture Notes in Mathematics 0075-8434 ; ; 1641
ISBN	9783540495703
Summary Note	This book is addressed to mathematicians and advanced students interested in buildings, groups and their interplay. Its first part introduces - presupposing good knowledge of ordinary buildings - the theory of twin buildings, discusses its group-theoretic background (twin BN-pairs), investigates geometric aspects of twin buildings and applies them to determine finiteness properties of certain S-arithmetic groups. This application depends on topological properties of some subcomplexes of spherical buildings. The background of this problem, some examples and the complete solution for all "sufficiently large" classical buildings are covered in detail in the second part of the book.:
Contents note	Groups acting on twin buildings -- Homotopy properties of ??0(a)? -- Finiteness properties of classical F q over F q[t].
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/BFb0094079
LINKS ZU 'VERWANDTEN WERKEN	Schlagwörter: . Geometry . Group theory . Group Theory and Generalizations . K-Theory . Mathematics . Authors: Abramenko, Peter . Corporate Authors: SpringerLink (Online service) . Series: Lecture Notes in Mathematics . Classification: 512.2 .

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Twin Buildings and Applications to S-Arithmetic Groups

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