Abstract Reflection Groups

Kenneth S. Brown
Additional contact information
Kenneth S. Brown: Cornell University, Department of Mathematics

Chapter II in Buildings, 1989, pp 33-57 from Springer

Abstract: Abstract The result of §I.5H above suggests the possibility of introducing geometry into abstract group theory: Let W be a group, possibly infinite, generated by a subset S consisting of elements of order 2. Define, as in Chapter I, a special coset to be a coset w(S′) with ω ∈ W and S′ ⊆ S. Now define ∑ = ∑(W, S) to be the poset of special cosets, ordered by the opposite of the inclusion relation: B ≤A in ∑ if and only if B ⊇A as subsets of W, in which case we say that B is a face of A.

Date: 1989
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:978-1-4612-1019-1_2

Ordering information: This item can be ordered from
http://www.springer.com/9781461210191

DOI: 10.1007/978-1-4612-1019-1_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 ().