Results 11 to 20 of about 37,423 (189)
The orbit space of a fusion system is contractible [PDF]
, 2009 Given a fusion system F on a finite p-group P, where p is a prime, we show that the partially ordered set of isomorphism classes in F of chains of non-trivial subgroups of P, considered as topological space, is contractible, further generalising Symonds’
Linckelmann, M.
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Alperin's weight conjecture in terms of equivariant Bredon cohomology [PDF]
, 2005 Alperin’s weight conjecture [1] admits a reformulation in terms of the cohomology of a functor on a category obtained from a subdivision construction applied to a centric linking system [7] of a fusion system of a block, which in turn can be interpreted ...
Alperin +14 more
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Cheeger-Simons differential characters with compact support and Pontryagin duality [PDF]
, 2019 By adapting the Cheeger-Simons approach to differential cohomology, we establish a notion of differential cohomology with compact support. We show that it is functorial with respect to open embeddings and that it fits into a natural diagram of exact ...
Becker, Christian +3 more
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Noncrossing partitions and the shard intersection order [PDF]
, 2009 We define a new lattice structure on the elements of a finite Coxeter group W. This lattice, called the shard intersection order, is weaker than the weak order and has the noncrossing partition lattice NC(W) as a sublattice. The new construction of NC(W)
Reading, Nathan
core +5 more sources
Symmetric products and subgroup lattices
, 2018 Let G be a finite group. We show that the rational homotopy groups of symmetric products of the G-equivariant sphere spectrum are naturally isomorphic to the rational homology groups of certain subcomplexes of the subgroup lattice of G.Comment: final ...
Hausmann, Markus
core +1 more source
, 2006 D-branes are classified by twisted K-theory. Yet twisted K-theory is often hard to calculate. We argue that, in the case of a compactification on a simply-connected six manifold, twisted K-theory is isomorphic to a much simpler object, twisted homology ...
Collinucci, Andres, Evslin, Jarah
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Higher commutativity and nilpotency in finite groups [PDF]
, 2010 We consider ordered tuples in finite groups generating nilpotent subgroups. Given an integer $q$ we consider the poset of nilpotent subgroups of class less than $q$ and its corresponding coset poset. These posets give rise to a family of finite Dirichlet
Torres-Giese, Enrique
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Cycles in the chamber homology of GL(3)
, 2006 Let F be a nonarchimedean local field and let GL(N) = GL(N,F). We prove the existence of parahoric types for GL(N). We construct representative cycles in all the homology classes of the chamber homology of GL(3).Comment: 45 pages.
A. Roche +20 more
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Around Podewski's conjecture [PDF]
, 2012 A long-standing conjecture of Podewski states that every minimal field is algebraically closed. It was proved by Wagner for fields of positive characteristic, but it remains wide open in the zero-characteristic case.
Frank +3 more
core +4 more sources
Dual pairing of symmetry groups and dynamical groups in physics
, 2012 This article reviews many manifestations and applications of dual representations of pairs of groups, primarily in atomic and nuclear physics. Examples are given to show how such paired representations are powerful aids in understanding the dynamics ...
Carvalho, M. J., Repka, J., Rowe, D. J.
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