One Node Extensions of Buildings

G. Stroth
Additional contact information
G. Stroth: Freie Univ. Berlin, Institut für Math. II

A chapter in Geometries and Groups, 1988, pp 71-120 from Springer

Abstract: Abstract A chamber system τ = (τ, (ρ i)i ∈ I) over some index set I is a set τ of chambers together with partitions ρ i, i ∈ I, of τ. If J ⊆ I, then ΔJ is the join of all partitions ρ j, j ∈ J. If c ∈ τ and J ⊆ I, then ΔJ(c) is the element of ρ J containing c. Notice that ΔJ(c) is again a chamber system over J with partitions ρ J, j ∈ J, restricted to ΔJ(c). τ is called connected iff ΔJ(c) = {τ} for some c ∈ τ. The permutation group G of τ is an automorphism group of τ if it respects all the partitions ρ i, i ∈ I. Let rank τ = |I|. A chamber system is called tight if there is some i ∈ I with {τ} = ΔI–{i}(c).

Keywords: Parabolic System; Natural Module; Spin Module; Critical Pair; Node Extension (search for similar items in EconPapers)
Date: 1988
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-009-4017-8_2

Ordering information: This item can be ordered from
http://www.springer.com/9789400940178

DOI: 10.1007/978-94-009-4017-8_2

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().