• 79 Citations
20002019
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Research Output 2000 2019

  • 79 Citations
  • 24 Article
  • 1 Working paper
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Article
2017
4 Downloads (Pure)

Groups of unstable Adams operations on p-local compact groups

Levi, R. & Libman, A., 26 Jan 2017, In : Algebraic & Geometric Topology. 17, 1, p. 355-418 64 p.

Research output: Contribution to journalArticle

Open Access
File
Adams Operations
Compact Group
Unstable
Classifying Space
Compact Lie Group
2016
4 Downloads (Pure)

On the homotopy groups of the self-equivalences of linear spheres

Libman, A., May 2016, In : Proceedings of the Edinburgh Mathematical Society. 59, 2, p. 445-462 18 p.

Research output: Contribution to journalArticle

Open Access
File
Homotopy Groups
Equivalence
Denote
Homotopy Equivalence
Equivariant
2015
7 Citations (Scopus)
4 Downloads (Pure)
Open Access
File
Classifying Space
P-groups
Fusion
Existence and Uniqueness
Obstruction Theory
2012
2 Citations (Scopus)

Homology decompositions and groups inducing fusion systems

Libman, A. & Seeliger, N. I. H., 26 Nov 2012, In : Homology, Homotopy and Applications. 14, 2, p. 167-187 21 p.

Research output: Contribution to journalArticle

Cohomology Ring
Homology
Fusion
Decompose
Functor
7 Citations (Scopus)

Unstable Adams operations on p-local compact groups

Junod, F., Levi, R. & Libman, A., 24 Jan 2012, In : Algebraic & Geometric Topology. 12, 1, p. 49-74 26 p.

Research output: Contribution to journalArticle

Adams Operations
Compact Group
Unstable
P-compact Group
Algebraic object
2011

A-infinity monads and completion

Bauer, T. & Libman, A., 19 Apr 2011, In : Journal of Homotopy and Related Structures. 5, 1, p. 133-155 23 p.

Research output: Contribution to journalArticle

Monads
Completion
Infinity
Operad
Topological Category
1 Citation (Scopus)

Orbit spaces, Quillen’s Theorem A and Minami’s formula for compact Lie groups

Libman, A., 2011, In : Fundamenta Mathematicae. 213, 2, p. 115-167 53 p.

Research output: Contribution to journalArticle

Orbit Space
Compact Lie Group
Subgroup
Theorem
Local Cohomology
2 Citations (Scopus)

The gluing problem in the fusion systems of the symmetric, alternating and linear groups

Libman, A., 1 Sep 2011, In : Journal of Algebra. 341, 1, p. 209-245 37 p.

Research output: Contribution to journalArticle

File
Alternating group
Gluing
Linear Group
Symmetric group
Fusion
2010
1 Citation (Scopus)

The gluing problem does not follow from homological properties of Δ p (G)

Libman, A., 2010, In : Homology, Homotopy and Applications. 12, 1, p. 1–10 10 p.

Research output: Contribution to journalArticle

Gluing
Algebraically closed
Vanish
Subgroup
Equivariant Cohomology
2009

A simplicial A∞-operad acting on R-resolutions

Bauer, T. & Libman, A., 2009, In : Homology, Homotopy and Applications. 11, 2, p. 55–73 19 p.

Research output: Contribution to journalArticle

Simplicial Set
Operad
Ring
Model
3 Citations (Scopus)

On the homotopy type of the non-completed classifying space of a p-local finite group

Libman, A. & Viruel, A., Jun 2009, In : Forum Mathematicum. 21, 4, p. 723–757 35 p.

Research output: Contribution to journalArticle

Classifying Space
Homotopy Type
Finite Group
K-space
Nerve
4 Citations (Scopus)
4 Downloads (Pure)

Segal's conjecture and the Burnside rings of fusion systems

Diaz, A. & Libman, A., Dec 2009, In : Journal of the London Mathematical Society. 80, 3, p. 665–679 15 p.

Research output: Contribution to journalArticle

Open Access
File
Burnside Ring
Fusion
Ring
Local Ring
Functor
9 Citations (Scopus)
3 Downloads (Pure)

The Burnside ring of fusion systems

Diaz, A. & Libman, A., 20 Dec 2009, In : Advances in Mathematics. 222, 6, p. 1943–1963 21 p.

Research output: Contribution to journalArticle

Open Access
File
Burnside Ring
Fusion
Ring
Finite P-group
Finite Group
5 Citations (Scopus)
3 Downloads (Pure)

Wreath products and representations of p-local finite groups

Castellana, N. & Libman, A., 10 Jul 2009, In : Advances in Mathematics. 221, 4, p. 1302–1344 43 p.

Research output: Contribution to journalArticle

Open Access
File
Wreath Product
Finite Group
Permutation Representation
Sylow Subgroup
Classifying Space
2008
2 Citations (Scopus)

Webb's conjecture for fusion systems

Libman, A., Oct 2008, In : Israel Journal of Mathematics. 167, 1, p. 141-154 14 p.

Research output: Contribution to journalArticle

2007
1 Citation (Scopus)

Minami-Webb splittings and some exotic p-local finite groups

Libman, A., Mar 2007, In : Mathematische Zeitschrift. 255, 3, p. 515-548 34 p.

Research output: Contribution to journalArticle

2006

The normaliser decomposition of p-local finite groups

Libman, A., 2006, In : Algebraic & Geometric Topology. 6, p. 1267-1288 21 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

Tower Techniques for Cosimplicial Resolutions

Chacholski, W. & Libman, A., Apr 2004, In : Mathematische Zeitschrift. 247, p. 385-407 22 p.

Research output: Contribution to journalArticle

2003

Homotopy Limits of Triples

Libman, A., May 2003, In : Topology and its Applications. 130, 2, p. 133-157 24 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

Universal Spaces for Homotopy Limits of Modules over Coaugmented Functions I

Libman, A., 2003, In : Topology. 42, p. 555-568 13 p.

Research output: Contribution to journalArticle

Universal Spaces for Homotopy Limits of Modules over Coaugmented Functions II

Libman, A., 2003, In : Topology. 42, p. 569-602 33 p.

Research output: Contribution to journalArticle

2000
11 Citations (Scopus)

A note on the localization of finite groups

Libman, A., 2000, In : Journal of Pure and Applied Algebra. 148, 3, p. 271-274 4 p.

Research output: Contribution to journalArticle

Finite Group
Nilpotent Group
Functor
22 Citations (Scopus)

Cardinality and nilpotency of localizations of groups and $G$-modules.

Libman, A., 2000, In : Israel Journal of Mathematics. 117, p. 221–237 17 p.

Research output: Contribution to journalArticle

Nilpotency
Cardinality
Module
Idempotent
Functor