Twin Buildings and Applications to S-Arithmetic Groups

Peter Abramenko (Autor)

Buch | Softcover

X, 130 Seiten

1996
Springer Berlin (Verlag)
978-3-540-61973-4 (ISBN)

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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.

Groups acting on twin buildings.- Homotopy properties of ??0(a)?.- Finiteness properties of classical F q over F q[t].

Erscheint lt. Verlag	18.11.1996
Reihe/Serie	Lecture Notes in Mathematics
Zusatzinfo	X, 130 p.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	210 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
Schlagworte	arithmetic • arithmetic groups • buildings • Finite • group theory • Gruppe (Mathematik) • Homotopy • Knowledge
ISBN-10	3-540-61973-9 / 3540619739
ISBN-13	978-3-540-61973-4 / 9783540619734
Zustand	Neuware