𝔖 Bobbio Scriptorium
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Selective survey on Subset Combinatorics of Groups

✍ Scribed by Igor V. Protasov

Publisher
Springer US
Year
2011
Tongue
English
Weight
358 KB
Volume
174
Category
Article
ISSN
1573-8795

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πŸ“œ SIMILAR VOLUMES

A Note on the Combinatorics of Multiplic
A Note on the Combinatorics of Multiplication in Groups
✍ A. JuhΓ‘sz; A. Leibman πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 111 KB

Let S be a finite subset of a group G, |S| = n, and let g ∈ S β€’ S. Then g induces a partial function Ξ» g : S β†’ S by Ξ» g (s) = t if and only if st = g and Ξ» g (s) is not defined if g ∈ sS. For every g ∈ S β€’ S, Ξ» g is a one-to-one mapping. In this note we describe the groups which have a finite genera

On the combinatorics of BΓ—B-orbits on gr
On the combinatorics of BΓ—B-orbits on group compactifications
✍ Yu Chen; Matthew Dyer πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 169 KB

It is shown that there is an order isomorphism Ο• from the poset V of B Γ— B-orbits on the wonderful compactification of a semi-simple adjoint group G with Weyl group W to an interval in reverse Chevalley-Bruhat order on a non-canonically associated Coxeter group W (in general neither finite nor affin