On the lattice of subracks of the rack of a finite group

DOI10.1090/tran/7644OpenAlexW2963585161WikidataQ129469208 ScholiaQ129469208MaRDI QIDQ5222870

John Shareshian, István Heckenberger, Volkmar Welker

Publication date: 4 July 2019

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.01459

Mathematics Subject Classification ID

Series and lattices of subgroups (20D30)

Related Items (4)

Dominating sets in intersection graphs of finite groups ⋮ Complemented lattices of subracks ⋮ Recovering information about a finite group from its subrack lattice ⋮ On the lattice of subquandles of a Takasaki quandle

Uses Software

• RiG

Cites Work

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• Connected quandles and transitive groups
• On finite rational groups and related topics
• On sequentially Cohen-Macaulay complexes and posets
• On the number of conjugate classes of maximal subgroups of finite groups
• Finite soluble groups
• Euler characteristics of groups: The \(p\)-fractional part
• Homotopy properties of the poset of nontrivial p-subgroups of a group
• From racks to pointed Hopf algebras
• The theory of finite groups. An introduction.
• The lattice of subracks is atomic
• The homology of ``\(k\)-equal manifolds and related partition lattices
• On rack cohomology.
• Subgroup lattices of groups
• Combinatorics and commutative algebra.
• The coset poset and probabilistic zeta function of a finite group
• Order complexes of coset posets of finite groups are not contractible.
• Normalteiler und maximale Untergruppen endlicher Gruppen
• ON THE CLASSIFICATION OF QUANDLES OF LOW ORDER
• A Criterion for a Group to be Nilpotent
• Implications of conjugacy class size
• On finite-dimensional Hopf algebras

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