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## Broto, Carles

Compute Distance To:
 Author ID: broto.carles Published as: Broto, C.; Broto, Carles; Broto, Carlos Homepage: http://mat.uab.es/~broto/ External Links: MGP · Wikidata · ORCID
 Documents Indexed: 42 Publications since 1986, including 2 Books Reviewing Activity: 4 Reviews Biographic References: 1 Publication
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#### Co-Authors

 4 single-authored 12 Levi, Ran 11 Oliver, Bob 7 Aguadé, Jaume 4 Møller, Jesper Michael 4 Saumell, Laia 2 Casacuberta, Carles 2 Castellana, Natàlia 2 Crespo, Juan Alfonso 2 Grodal, Jesper 2 Kitchloo, Nitu 2 Notbohm, Dietrich 2 Vershinin, Vladimir V. 2 Viruel, Antonio 2 Zarati, Said 1 Flores, Ramón J. 1 Giraldo, Carlos A. 1 Henn, Hans-Werner 1 Kuhn, Nicholas J. 1 Mislin, Guido 1 Nguyễn Hu’u Viêt Hu’ng 1 Palmieri, John H. 1 Priddy, Stewart B. 1 Santos, Marta 1 Sanz-Solé, Marta 1 Smith, Larry 1 Stong, Robert E. 1 Yagita, Nobuaki
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#### Serials

 3 Topology 3 Transactions of the American Mathematical Society 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Mathematische Zeitschrift 2 Proceedings of the American Mathematical Society 2 Journal of the American Mathematical Society 2 Algebraic & Geometric Topology 2 Progress in Mathematics 1 Communications in Algebra 1 American Journal of Mathematics 1 Duke Mathematical Journal 1 Inventiones Mathematicae 1 Journal of the London Mathematical Society. Second Series 1 Journal of Mathematics of Kyoto University 1 Journal of Pure and Applied Algebra 1 Proceedings of the London Mathematical Society. Third Series 1 The Quarterly Journal of Mathematics. Oxford Second Series 1 Butlletí de la Societat Catalana de Ciencies Físiques, Químiques i Matemàtiques 1 Zapiski Nauchnykh Seminarov POMI 1 Journal of Mathematical Sciences (New York) 1 Geometry & Topology 1 La Gaceta de la Real Sociedad Matemática Española 1 Journal of Homotopy and Related Structures 1 Wiadomości Matematyczne
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#### Fields

 39 Algebraic topology (55-XX) 15 Group theory and generalizations (20-XX) 4 Manifolds and cell complexes (57-XX) 3 General and overarching topics; collections (00-XX) 2 $$K$$-theory (19-XX) 2 Topological groups, Lie groups (22-XX) 1 History and biography (01-XX) 1 Commutative algebra (13-XX) 1 Category theory; homological algebra (18-XX)

#### Citations contained in zbMATH

33 Publications have been cited 430 times in 208 Documents Cited by Year
The homotopy theory of fusion systems. Zbl 1033.55010
Broto, Carles; Levi, Ran; Oliver, Bob
2003
Subgroup families controlling $$p$$-local finite groups. Zbl 1090.20026
Broto, Carles; Castellana, Natàlia; Grodal, Jesper; Levi, Ran; Oliver, Bob
2005
Extensions of $$p$$-local finite groups. Zbl 1145.55013
Broto, C.; Castellana, N.; Grodal, J.; Levi, R.; Oliver, B.
2007
Homotopy equivalences of $$p$$-completed classifying spaces of finite groups. Zbl 1042.55008
Broto, Carles; Levi, Ran; Oliver, Bob
2003
Discrete models for the $$p$$-local homotopy theory of compact Lie groups and $$p$$-compact groups. Zbl 1135.55008
Broto, Carles; Levi, Ran; Oliver, Bob
2007
Some remarks on central elementary abelian $$P$$-subgroups and cohomology of classifying spaces. Zbl 0796.55010
Broto, Carlos; Henn, Hans-Werner
1993
Chevalley $$p$$-local finite groups. Zbl 1154.55009
Broto, Carles; Møller, Jesper M.
2007
Classifying spaces of Kač-Moody groups. Zbl 1031.55009
Broto, Carles; Kitchloo, Nitu
2002
A geometric construction of saturated fusion systems. Zbl 1100.55005
Broto, Carles; Levi, Ran; Oliver, Bob
2006
The theory of $$p$$-local groups: a survey. Zbl 1063.55013
Broto, Carles; Levi, Ran; Oliver, Bob
2004
Equivalences between fusion systems of finite groups of Lie type. Zbl 1250.20011
Broto, Carles; Møller, Jesper M.; Oliver, Bob
2012
Homotopy classification of spaces with interesting cohomology and a conjecture of Cooke. I. Zbl 0843.55007
Aguadé, J.; Broto, C.; Notbohm, D.
1994
An algebraic model for finite loop spaces. Zbl 1306.55008
Broto, Carles; Levi, Ran; Oliver, Bob
2014
Nil-localization of unstable algebras over the Steenrod algebra. Zbl 0639.55012
Broto, Carlos; Zarati, S.
1988
On spaces of self-homotopy equivalences of $$p$$-completed classifying spaces of finite groups and homotopy group extensions. Zbl 1059.55007
Broto, Carles; Levi, Ran
2002
$$H$$-spaces with Noetherian mod two cohomology algebra. Zbl 0927.55017
Broto, Carlos; Crespo, Juan A.
1999
On the homotopy type of $$BG$$ for certain finite 2-groups $$G$$. Zbl 0945.55012
Broto, Carlos; Levi, Ran
1997
Cohomology of classifying spaces of central quotients of rank two Kac-Moody groups. Zbl 1108.55013
Aguadé, Jaume; Broto, Carles; Kitchloo, Nitu; Saumell, Laia
2005
Embeddings of $$\text{DI}_2$$ in $$\text{F}_4$$. Zbl 1017.55011
Broto, Carles; Møller, Jesper M.
2001
Thom modules and pseudoreflection groups. Zbl 0683.55012
Broto, Carlos; Smith, Larry; Stong, Robert
1989
The rational cohomology of a $$p$$-local compact group. Zbl 1294.55005
Broto, C.; Levi, R.; Oliver, B.
2014
The problem session. Zbl 1132.55300
Broto, Carles; Nguyễn H V Hung; Kuhn, Nicholas J.; Palmieri, John H.; Priddy, Stewart; Yagita, Nobuaki
2007
Rank two integral representations of the infinite dihedral group. Zbl 1150.20006
Aguadé, Jaume; Broto, Carles; Saumell, Laia
2007
Projective unitary groups are totally $$N$$-determined $$p$$-compact groups. Zbl 1058.55004
Broto, Carles; Viruel, Antonio
2004
On generalized homology of Artin groups. Zbl 1023.20019
Broto, C.; Vershinin, V. V.
2000
Homotopy uniqueness of $$BPU(3)$$. Zbl 0998.55008
Broto, Carlos; Viruel, Antonio
1998
On sub-$${\mathcal A}_ p^*$$-algebras of $$H^*V$$. Zbl 0762.55012
Broto, Carlos; Zarati, Saïd
1992
Non-simply connected $$H$$-spaces with finiteness conditions. Zbl 1002.55007
Broto, Carles; Crespo, Juan A.; Saumell, Laia
2001
On generalized homology of Artin groups. Zbl 1033.20501
Broto, C.; Vershinin, V. V.
2000
Loop structures on homotopy fibers of self maps of spheres. Zbl 0961.55011
Broto, Carlos; Levi, Ran
2000
Fake 3-connected coverings of Lie groups. Zbl 0877.55007
Aguadé, J.; Broto, C.; Santos, M.
1995
Thom modules and mod $$p$$ spherical fibrations. Zbl 0746.55002
Broto, Carlos
1992
Invariant algebras and polynomial algebras over the Steenrod algebra. Zbl 0598.55011
Broto, Carles
1986
An algebraic model for finite loop spaces. Zbl 1306.55008
Broto, Carles; Levi, Ran; Oliver, Bob
2014
The rational cohomology of a $$p$$-local compact group. Zbl 1294.55005
Broto, C.; Levi, R.; Oliver, B.
2014
Equivalences between fusion systems of finite groups of Lie type. Zbl 1250.20011
Broto, Carles; Møller, Jesper M.; Oliver, Bob
2012
Extensions of $$p$$-local finite groups. Zbl 1145.55013
Broto, C.; Castellana, N.; Grodal, J.; Levi, R.; Oliver, B.
2007
Discrete models for the $$p$$-local homotopy theory of compact Lie groups and $$p$$-compact groups. Zbl 1135.55008
Broto, Carles; Levi, Ran; Oliver, Bob
2007
Chevalley $$p$$-local finite groups. Zbl 1154.55009
Broto, Carles; Møller, Jesper M.
2007
The problem session. Zbl 1132.55300
Broto, Carles; Nguyễn H V Hung; Kuhn, Nicholas J.; Palmieri, John H.; Priddy, Stewart; Yagita, Nobuaki
2007
Rank two integral representations of the infinite dihedral group. Zbl 1150.20006
Aguadé, Jaume; Broto, Carles; Saumell, Laia
2007
A geometric construction of saturated fusion systems. Zbl 1100.55005
Broto, Carles; Levi, Ran; Oliver, Bob
2006
Subgroup families controlling $$p$$-local finite groups. Zbl 1090.20026
Broto, Carles; Castellana, Natàlia; Grodal, Jesper; Levi, Ran; Oliver, Bob
2005
Cohomology of classifying spaces of central quotients of rank two Kac-Moody groups. Zbl 1108.55013
Aguadé, Jaume; Broto, Carles; Kitchloo, Nitu; Saumell, Laia
2005
The theory of $$p$$-local groups: a survey. Zbl 1063.55013
Broto, Carles; Levi, Ran; Oliver, Bob
2004
Projective unitary groups are totally $$N$$-determined $$p$$-compact groups. Zbl 1058.55004
Broto, Carles; Viruel, Antonio
2004
The homotopy theory of fusion systems. Zbl 1033.55010
Broto, Carles; Levi, Ran; Oliver, Bob
2003
Homotopy equivalences of $$p$$-completed classifying spaces of finite groups. Zbl 1042.55008
Broto, Carles; Levi, Ran; Oliver, Bob
2003
Classifying spaces of Kač-Moody groups. Zbl 1031.55009
Broto, Carles; Kitchloo, Nitu
2002
On spaces of self-homotopy equivalences of $$p$$-completed classifying spaces of finite groups and homotopy group extensions. Zbl 1059.55007
Broto, Carles; Levi, Ran
2002
Embeddings of $$\text{DI}_2$$ in $$\text{F}_4$$. Zbl 1017.55011
Broto, Carles; Møller, Jesper M.
2001
Non-simply connected $$H$$-spaces with finiteness conditions. Zbl 1002.55007
Broto, Carles; Crespo, Juan A.; Saumell, Laia
2001
On generalized homology of Artin groups. Zbl 1023.20019
Broto, C.; Vershinin, V. V.
2000
On generalized homology of Artin groups. Zbl 1033.20501
Broto, C.; Vershinin, V. V.
2000
Loop structures on homotopy fibers of self maps of spheres. Zbl 0961.55011
Broto, Carlos; Levi, Ran
2000
$$H$$-spaces with Noetherian mod two cohomology algebra. Zbl 0927.55017
Broto, Carlos; Crespo, Juan A.
1999
Homotopy uniqueness of $$BPU(3)$$. Zbl 0998.55008
Broto, Carlos; Viruel, Antonio
1998
On the homotopy type of $$BG$$ for certain finite 2-groups $$G$$. Zbl 0945.55012
Broto, Carlos; Levi, Ran
1997
Fake 3-connected coverings of Lie groups. Zbl 0877.55007
Aguadé, J.; Broto, C.; Santos, M.
1995
Homotopy classification of spaces with interesting cohomology and a conjecture of Cooke. I. Zbl 0843.55007
Aguadé, J.; Broto, C.; Notbohm, D.
1994
Some remarks on central elementary abelian $$P$$-subgroups and cohomology of classifying spaces. Zbl 0796.55010
Broto, Carlos; Henn, Hans-Werner
1993
On sub-$${\mathcal A}_ p^*$$-algebras of $$H^*V$$. Zbl 0762.55012
Broto, Carlos; Zarati, Saïd
1992
Thom modules and mod $$p$$ spherical fibrations. Zbl 0746.55002
Broto, Carlos
1992
Thom modules and pseudoreflection groups. Zbl 0683.55012
Broto, Carlos; Smith, Larry; Stong, Robert
1989
Nil-localization of unstable algebras over the Steenrod algebra. Zbl 0639.55012
Broto, Carlos; Zarati, S.
1988
Invariant algebras and polynomial algebras over the Steenrod algebra. Zbl 0598.55011
Broto, Carles
1986
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#### Cited by 135 Authors

 21 Oliver, Bob 13 Levi, Ran 12 Castellana, Natàlia 12 Linckelmann, Markus 10 Broto, Carles 9 Libman, Assaf 8 Park, Sejong 8 Viruel, Antonio 7 Díaz Ramos, Antonio 7 Lynd, Justin 7 Ruiz, Albert 6 Henke, Ellen 6 Kessar, Radha 6 Liao, Jun 6 Møller, Jesper Michael 6 Stancu, Radu 5 Aguadé, Jaume 5 Aschbacher, Michael George 5 Carlson, Jon Frederick 5 Henn, Hans-Werner 5 Mazza, Nadia Paola 5 Xu, Fei 5 Zhang, Jiping 4 Andersen, Kasper K. S. 4 Flores, Ramón J. 4 Glesser, Adam 4 Grodal, Jesper 4 Héthelyi, László 4 Scherer, Jérôme 4 Semeraro, Jason 4 Ventura, Joana 3 Cantarero, José 3 Craven, David A. 3 Crespo, Juan Alfonso 3 Gelvin, Matthew J. K. 3 Heard, Drew 3 Kitchloo, Nitu 3 Kuhn, Nicholas J. 3 Molinier, Rémi 3 Notbohm, Dietrich 3 Ragnarsson, Kári 3 Robinson, Geoffrey Raymond 3 Symonds, Peter 3 Vershinin, Vladimir V. 3 Weigel, Thomas S. 2 Barthel, Tobias 2 Benson, David John 2 Chermak, Andrew L. 2 Foote, Richard M. 2 González-Sánchez, Jon 2 González, Alex 2 Green, David John 2 Kawamoto, Yusuke 2 Koshitani, Shigeo 2 Liu, Heguo 2 Onofrei, Silvia 2 Puig, Lluis 2 Reeh, Sune Precht 2 Seeliger, Nora 2 Szoke, Máté 2 Todea, Constantin Cosmin 2 Valenzuela, Gabriel 2 Vavpetič, Aleš 2 Webb, Peter J. 2 Yalçın, Ergün 1 Abreu, Miguel 1 Adem, Alejandro 1 Baird, Thomas John 1 Bakuradze, Malkhaz 1 Bárcenas, Noé 1 Boltje, Robert 1 Bourguiba, Dorra 1 Choi, Younggi 1 Clelland, Murray 1 Danz, Susanne 1 Davis, Donald M. 1 Espinosa Baro, Arturo 1 Feng, Zhicheng 1 Foley, John David 1 Foote, Richard J. 1 Ginsberg, Hy 1 Glauberman, George 1 Granja, Gustavo 1 Grazian, Valentina 1 Grbić, Jelena 1 Greenlees, John P. C. 1 Gündoğan, Muhammed Said 1 Hamanaka, Hiroaki 1 Hemmi, Yutaka 1 Hepworth, Richard A. 1 Hewett, Thomas J. 1 Hida, Akihiko 1 Jackson, Michael A. 1 Jacobsen, Martin Wedel 1 Junod, Fabien 1 Karagueuzian, Dikran B. 1 Kishimoto, Daisuke 1 Kono, Akira 1 Kunugi, Naoko 1 Lannes, Jean E. ...and 35 more Authors
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#### Cited in 43 Serials

 48 Journal of Algebra 22 Transactions of the American Mathematical Society 14 Advances in Mathematics 11 Mathematische Zeitschrift 9 Algebraic & Geometric Topology 7 Journal of Pure and Applied Algebra 7 Proceedings of the American Mathematical Society 7 Proceedings of the Edinburgh Mathematical Society. Series II 5 Communications in Algebra 5 Inventiones Mathematicae 5 Mathematische Annalen 5 Topology and its Applications 5 Geometry & Topology 4 Israel Journal of Mathematics 4 Duke Mathematical Journal 4 Journal of the American Mathematical Society 4 Forum Mathematicum 3 Manuscripta Mathematica 3 Memoirs of the American Mathematical Society 3 Journal of Group Theory 2 Acta Mathematica 2 Bulletin of the London Mathematical Society 2 Journal of the London Mathematical Society. Second Series 2 Bulletin of the American Mathematical Society. New Series 2 Algebra Colloquium 2 Algebras and Representation Theory 2 Acta Mathematica Sinica. English Series 2 Journal of Algebra and its Applications 1 Bulletin of the Australian Mathematical Society 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Arkiv för Matematik 1 Journal of Geometry and Physics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Archiv der Mathematik 1 Journal of Combinatorial Theory. Series A 1 Journal of Symbolic Computation 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Expositiones Mathematicae 1 Journal of Mathematical Sciences (New York) 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Annals of Mathematics. Second Series 1 Journal of Homotopy and Related Structures 1 Kyoto Journal of Mathematics
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#### Cited in 20 Fields

 169 Group theory and generalizations (20-XX) 126 Algebraic topology (55-XX) 16 Associative rings and algebras (16-XX) 13 $$K$$-theory (19-XX) 13 Manifolds and cell complexes (57-XX) 11 Category theory; homological algebra (18-XX) 6 Commutative algebra (13-XX) 4 Topological groups, Lie groups (22-XX) 3 Combinatorics (05-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Algebraic geometry (14-XX) 2 Number theory (11-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Quantum theory (81-XX) 1 General and overarching topics; collections (00-XX) 1 Field theory and polynomials (12-XX) 1 Nonassociative rings and algebras (17-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-XX)

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