Bob Oliver

Équipe de Topologie Algébrique

Bureau : D307
Téléphone : 33 (1) 49 40 35 94
Fax : 33 (1) 49 40 35 68
e-mail :

(avec C. Broto et R. Levi) Realizability of fusion systems by discrete groups (version du 14/9/24)

Nonrealizability of certain representations in fusion systems (version du 30/9/22)

Fusion systems realizing certain Todd modules (version du 1/8/22)

Normalizers of sets of components in fusion systems (version du 12/11/21)

(avec C. Broto, J. Møller, et A. Ruiz) Realizability and tameness of fusion systems (version du 11/7/23)

A Krull-Remak-Schmidt theorem for fusion systems (version du 18/5/22)

Correction to: Reductions to simple fusion systems (version du 1/2/21)

(avec A. Ruiz) Simplicity of fusion systems of finite simple groups (version du 12/12/20)

(avec C. Broto et R. Levi) Loop space homology of a small category (version du 13/8/21)

(avec A. Ruiz) Reduced fusion systems over $p$-groups with abelian subgroup of index $p$: III (version du 12/1/18)

A remark on the construction of centric linking systems (version du 6/12/16)

(avec D. Craven et J. Semeraro) Reduced fusion systems over p-groups with abelian subgroup of index p: II (version du 20/7/17)

(avec K. Andersen et J. Ventura) Reduced fusion systems over 2-groups of small order (version du 31/5/17)

Automorphisms of fusion systems of sporadic simple groups (version du 9/12/16)

Reductions to simple fusion systems (version du 28/1/16)

(avec C. Broto et J. Møller) Automorphisms of fusion systems of finite simple groups of Lie type (version du 31/1/17)

(avec C. Broto et R. Levi) An algebraic model for finite loop spaces (version du 10/12/12)

Reduced fusion systems over 2-groups of sectional rank at most four (version du 4/1/14)

Simple fusion systems over p-groups with abelian subgroup of index p: I (version du 17/3/13)

(avec K. Andersen et J. Ventura) Fusion systems and amalgams (version du 28/6/12)

(avec C. Broto et R. Levi) The rational cohomology of a p-local compact group (version du 6/2/12)

Existence and uniqueness of linking systems: Chermak's proof via obstruction theory (version du 26/1/13)

(avec M. Aschbacher et R. Kessar) Fusion systems in algebra and topology

(avec K. Andersen et J. Ventura) Reduced, tame, and exotic fusion systems (version du 31/3/10)

La classification des groupes p-compacts [d'après Andersen, Grodal, Møller, et Viruel]

Splitting fusion systems over 2-groups (version du 3/11/10)

Extensions of linking systems and fusion systems (Trans. Amer. Math. Soc. 362 (2010), 5483-5500) (version du 13/2/09)

(avec C. Broto et J. Møller) Equivalences between fusion systems of finite groups of Lie type (Journal Amer. Math. Soc., à paraître) (version du 15/6/11)

(avec J. Ventura) Saturated fusion systems over 2-groups (Trans. Amer. Math. Soc. 361 (2009), 6661-6728) (version du 18/7/08)

(avec C. Broto et R. Levi) Discrete models for the p-local homotopy theory of compact Lie groups and p-compact groups (Geometry and Topology 11 (2007), 315-427)

(avec J. Ventura) Extensions of linking systems with p-group kernel (Math. Annalen 338, 2007, 983-1043)

(avec A. Chermak et S. Shpectorov) The simple connectivity of BSol(q) (Proc. London Math. Soc. 97, 2008, 209-238)

(avec C. Broto et R. Levi) A geometric construction of saturated fusion systems (proceedings Arolla 2004, Contemp. math. 399, 2006, 11-39)

(avec C. Broto, N. Castellana, J. Grodal, et R. Levi) Extensions of p-local finite groups (Trans. Amer. Math. Soc. 359, 2007, 3791-3858) (version du 8/7/05)

(avec C. Broto, N. Castellana, J. Grodal, et R. Levi) Subgroup families controlling p-local finite groups (Proc. London Math. Soc. 91, 2005, 325-354) (version du 15/4/05)

(avec D. Karagueuzian et J. Ventura) The components of a variety of matrices with square zero and submaximal rank (proc. Seville & Lisbonne, June 2003, Lect. Notes Pure Appl. Math. 244, Chapman & Hall 2006, 151-164)

Equivalences of classifying spaces completed at the prime two (Amer. Math. Soc. Memoirs 848, 2006) (version du 31/12/04)

(avec H. Fausk) Continuity of π-perfection for compact Lie groups (Bull. London Math. Soc., 37, 2005, 135-140)

(avec C. Broto et R. Levi) The theory of p-local groups: a survey (Homotopy theory, Northwestern Univ. 2002, Contemp. math. 346, Amer. Math. Soc. 2004, 51-84)

(avec R. Levi) Correction to: Construction of 2-local finite groups of a type studied by Solomon and Benson

(avec R. Levi) Construction of 2-local finite groups of a type studied by Solomon and Benson (Geometry & Topology 6, 2002, 917-990)

Equivalences of classifying spaces completed at odd primes (Math. Proc. Camb. Phil. Soc. 137, 2004, 321-347) (version de 5/03)

(avec C. Broto et R. Levi) The homotopy theory of fusion systems (Journal Amer. Math. Soc. 16, 2003, 779-856) (version du 16/7/03)

(avec C. Broto et R. Levi) Homotopy equivalences of p-completed classifying spaces of finite groups (Inventiones math. 151, 2003, 611-664)

(avec W. Lück) Chern characters for equivariant K-theory of proper G-CW-complexes (Proc. Barcelona conf. on alg. topology, Bellaterra, 1998, Birkhäuser 2001, 217-247)

(avec Y. Segev) Fixed point free actions on Z-acyclic 2-complexes (Acta Math. 189, 2002, 203-285)

(avec W. Lück) The completion theorem in K-theory for proper actions of a discrete group (Topology 40, 2001, 585-616)

The representation ring of a compact Lie group revisited (Comment. Math. Helv. 73, 1998, 353-378)

(avec S. Jackowski) Vector bundles over classifying spaces of compact Lie groups (Acta Mathematica 176, 1996, 109-143)

Fixed point sets and tangent bundles of actions on disks and euclidean spaces (Topology 35, 1996, 583-615)

(avec S. Jackowski et J. McClure) Self homotopy equivalences of classifying spaces of compact connected Lie groups (Fundamenta Math. 147, 1995, 99-126)

(avec S. Jackowski et J. McClure) Maps between classifying spaces revisited (Proc. Cech centennial homotopy theory conference, Contemp. math. 181, 1995, 263-298)

Higher limits via Steinberg representations (Comm. in Algebra 22, 1994, 1381-1402)

p-stubborn subgroups of classical compact Lie groups (Journal Pure Appl. Algebra 92, 1994, 55-78)

(avec S. Jackowski et J. McClure) Homotopy theory of classifying spaces of compact Lie groups (Algebraic topology and its applications, Springer-Verlag, 1994, 81-123)

• Rédacteur de Algebraic and Geometric Topology.

Curriculum Vitae

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