𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Homotopy equivalence of posets with a group action

✍ Scribed by J Thévenaz; P.J Webb

Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
491 KB
Volume
56
Category
Article
ISSN
0097-3165

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

A Homotopy Equivalence for Partition Pos
A Homotopy Equivalence for Partition Posets Related to Liftings of Sn−1-Modules to Sn
✍ Sheila Sundaram 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 146 KB

We give a homotopy equivalence to explain an S n&1 -module isomorphism which occurs frequently in the homology of subposets of the partition lattice 6 n . The isomorphism in question is necessary for the existence of a lifting to S n of the S n&1 -module involved. It has also been observed in certai

A note on the homotopy type of posets
A note on the homotopy type of posets
✍ P. Sankaran; K. Varadarajan 📂 Article 📅 1994 🏛 Elsevier Science 🌐 English ⚖ 646 KB

For any poset P let J(P) denote the complete lattice of order ideals in P. J(P) is a contravariant functor in P. Any order-reversing map f: P-+Q can be regarded as an isotone (= order-preserving) map of either P\* into Q or P into Q\*. The induced map of J(Q) to J(P\*) (resp. J(Q\*) into J(P)) will

Linearly Equivalent Actions of Solvable
Linearly Equivalent Actions of Solvable Groups
✍ B. de Smit; H.W. Lenstra Jr. 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 134 KB

We determine the positive integers n for which there exist a solvable group G and two non-conjugate subgroups of index n in G that induce the same permutation character.