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Bredon cohomological dimensions for proper actions and Mackey functors
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Dieter Degrijse
Published/Copyright:
August 5, 2014
Abstract
For groups with a uniform bound on the length of chains of finite subgroups, we study the relationship between the Bredon cohomological dimension for proper actions and the notions of cohomological dimension one obtains by restricting the coefficients of Bredon cohomology to (cohomological) Mackey functors or fixed point functors. We also investigate the closure properties of the class of groups with finite Bredon cohomological dimension for Mackey functors.
Received: 2014-1-2
Published Online: 2014-8-5
Published in Print: 2015-11-1
© 2015 by De Gruyter
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Articles in the same Issue
- Frontmatter
- Conjugacy classes of finite groups and graph regularity
- A note about complexity of lens spaces
- A note for alternating Ramanujan's circular summation formula
- On a question of Gillespie
- Jumping pairs of Steiner bundles
- On the recurrence of symmetric jump processes
- R-groups, elliptic representations, and parameters for GSpin groups
- The least common multiple of consecutive quadratic progression terms
- Hybrid bounds for quadratic Weyl sums and arithmetic applications
- Invariants of coinvariant algebras
- Boundedness of certain singular integrals along surfaces on Triebel–Lizorkin spaces
- Distinction of the Steinberg representation II: An equality of characters
- Perturbations of functional inequalities for Lévy type Dirichlet forms
- Decomposable Leavitt path algebras for arbitrary graphs
- Group rings whose set of symmetric elements is Lie metabelian
- Heat kernel and Lipschitz–Besov spaces
- A case of monoidal uniqueness of algebraic models
- Schur tensor product of operator spaces
- On the upper bound for Bi(K)Bi(K*)
- Bredon cohomological dimensions for proper actions and Mackey functors
- Action of the Cremona group on foliations on ℙℂ2: Some curious facts
- Homological aspects of the dual Auslander transpose
- Nilpotent covers and non-nilpotent subsets of finite groups of Lie type
- Erratum to The distribution of the logarithm in an orthogonal and a symplectic family of L-functions [Forum Math. 26 (2014), 523–546]
Articles in the same Issue
- Frontmatter
- Conjugacy classes of finite groups and graph regularity
- A note about complexity of lens spaces
- A note for alternating Ramanujan's circular summation formula
- On a question of Gillespie
- Jumping pairs of Steiner bundles
- On the recurrence of symmetric jump processes
- R-groups, elliptic representations, and parameters for GSpin groups
- The least common multiple of consecutive quadratic progression terms
- Hybrid bounds for quadratic Weyl sums and arithmetic applications
- Invariants of coinvariant algebras
- Boundedness of certain singular integrals along surfaces on Triebel–Lizorkin spaces
- Distinction of the Steinberg representation II: An equality of characters
- Perturbations of functional inequalities for Lévy type Dirichlet forms
- Decomposable Leavitt path algebras for arbitrary graphs
- Group rings whose set of symmetric elements is Lie metabelian
- Heat kernel and Lipschitz–Besov spaces
- A case of monoidal uniqueness of algebraic models
- Schur tensor product of operator spaces
- On the upper bound for Bi(K)Bi(K*)
- Bredon cohomological dimensions for proper actions and Mackey functors
- Action of the Cremona group on foliations on ℙℂ2: Some curious facts
- Homological aspects of the dual Auslander transpose
- Nilpotent covers and non-nilpotent subsets of finite groups of Lie type
- Erratum to The distribution of the logarithm in an orthogonal and a symplectic family of L-functions [Forum Math. 26 (2014), 523–546]
