Homotopy types of group lattices

DOI10.1007/s10958-009-9706-6zbMath1288.55007arXiv0911.4136OpenAlexW2041146549MaRDI QIDQ2451715

I. P. Kramarev, L. V. Lokutsievskiy

Publication date: 4 June 2014

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0911.4136

Mathematics Subject Classification ID

Chains and lattices of subgroups, subnormal subgroups (20E15) Abstract complexes in algebraic topology (55U05)

Cites Work

• Type d'homotopie des treillis et treillis des sous-groupes d'un groupe fini. (Homotopy type of lattices and lattices of subgroups of a finite groups)
• Homotopy properties of the poset of nontrivial p-subgroups of a group
• Topology of order complexes of intervals in subgroup lattices.
• A homotopy complementation formula for partially ordered sets
• The coset poset and probabilistic zeta function of a finite group
• On the shellability of the order complex of the subgroup lattice of a finite group
• Connectivity of the coset poset and the subgroup poset of a group
• On a class of doubly transitive groups

This page was built for publication: Homotopy types of group lattices