# zbMATH — the first resource for mathematics

Compute Distance To:
 Documents Indexed: 56 Publications since 1996, including 2 Books Biographic References: 1 Publication
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#### Co-Authors

 12 single-authored 24 Linckelmann, Markus 4 Malle, Gunter 3 Chuang, Joseph 3 Koshitani, Shigeo 3 Külshammer, Burkhard 2 Benson, David John 2 Eaton, Charles William 2 Hiss, Gerhard 2 Sambale, Benjamin 1 Aschbacher, Michael George 1 Boltje, Robert 1 Bonnafé, Cédric 1 Craven, David A. 1 Eisele, Florian 1 Farrell, Niamh 1 Geck, Meinolf 1 Geline, Michael 1 Héthelyi, László 1 Holloway, Miles 1 Holm, Thorsten 1 Kunugi, Naoko 1 Lynd, Justin 1 Mitsuhashi, Naofumi 1 Navarro, Gabriel 1 Navarro, Gabriel 1 Oliver, Bob 1 Robinson, Geoffrey Raymond 1 Schaps, Mary Elizabeth 1 Semeraro, Jason 1 Stancu, Radu 1 Testerman, Donna M. 1 Valero-Elizondo, Luis
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#### Serials

 19 Journal of Algebra 4 Archiv der Mathematik 4 The Quarterly Journal of Mathematics 3 Proceedings of the American Mathematical Society 2 Advances in Mathematics 2 Bulletin of the London Mathematical Society 2 Pacific Journal of Mathematics 2 Journal of Group Theory 1 Glasgow Mathematical Journal 1 Journal of the London Mathematical Society. Second Series 1 Journal of Pure and Applied Algebra 1 Journal für die Reine und Angewandte Mathematik 1 Manuscripta Mathematica 1 Mathematische Zeitschrift 1 Transactions of the American Mathematical Society 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Representation Theory 1 Annals of Mathematics. Second Series 1 Oberwolfach Reports 1 London Mathematical Society Lecture Note Series 1 EMS Series of Lectures in Mathematics
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#### Fields

 56 Group theory and generalizations (20-XX) 16 Associative rings and algebras (16-XX) 3 Category theory; homological algebra (18-XX) 2 General and overarching topics; collections (00-XX) 2 Algebraic topology (55-XX) 1 Combinatorics (05-XX) 1 $$K$$-theory (19-XX) 1 Topological groups, Lie groups (22-XX)

#### Citations contained in zbMATH Open

48 Publications have been cited 466 times in 293 Documents Cited by Year
Fusion systems in algebra and topology. Zbl 1255.20001
Aschbacher, Michael; Kessar, Radha; Oliver, Bob
2011
Quasi-isolated blocks and Brauer’s height zero conjecture. Zbl 1317.20006
2013
2-blocks with abelian defect groups. Zbl 1341.20006
Eaton, Charles W.; Kessar, Radha; Külshammer, Burkhard; Sambale, Benjamin
2014
Symmetric groups, wreath products, Morita equivalences, and Broué’s Abelian defect group conjecture. Zbl 1033.20009
2002
Conjectures of Alperin and Broué for 2-blocks with elementary Abelian defect groups of order 8. Zbl 1269.20007
Kessar, Radha; Koshitani, Shigeo; Linckelmann, Markus
2012
Local control in fusion systems of $$p$$-blocks of finite groups. Zbl 1053.20007
Kessar, Radha; Linckelmann, Markus; Robinson, Geoffrey R.
2002
$$ZJ$$-theorems for fusion systems. Zbl 1144.20004
2008
A remark on Donovan’s conjecture. Zbl 1058.20011
2004
The structure of blocks with a Klein four defect group. Zbl 1250.20002
Craven, David A.; Eaton, Charles W.; Kessar, Radha; Linckelmann, Markus
2011
A reduction theorem for fusion systems of blocks. Zbl 1193.20006
2008
Scopes reduction and Morita equivalence classes of blocks in finite classical groups. Zbl 0961.20036
2000
Blocks and source algebras for the double covers of the symmetric and alternating groups. Zbl 0894.20015
1996
Introduction to block theory. Zbl 1165.20007
2007
Blocks inequivalent to their Frobenius twists. Zbl 1135.20002
2007
Lusztig induction and $$\ell$$-blocks of finite reductive groups. Zbl 1365.20012
2015
Brauer’s height zero conjecture for quasi-simple groups. Zbl 1437.20006
2017
On stable equivalences and blocks with one simple module. Zbl 1196.20013
2010
The Solomon system $${\mathcal F}_{\text{Sol}}(3)$$ does not occur as fusion system of a 2-block. Zbl 1092.20010
2006
Scopes reduction and Morita equivalence classes of blocks in finite classical groups. II. Zbl 1072.20012
2005
On blocks with Frobenius inertial quotient. Zbl 1118.20014
2002
On blocks of defect two and one simple module, and Lie algebra structure of $$HH^1$$. Zbl 1373.20009
Benson, David; Kessar, Radha; Linckelmann, Markus
2017
A characterisation of nilpotent blocks. Zbl 1344.20013
Kessar, Radha; Linckelmann, Markus; Navarro, Gabriel
2015
On blocks stably equivalent to a quantum complete intersection of dimension 9 in characteristic 3 and a case of the Abelian defect group conjecture. Zbl 1264.20013
2012
Quantum complete rings and blocks with one simple module. Zbl 1098.20010
2005
On Picard groups of blocks of finite groups. Zbl 1453.20015
Boltje, Robert; Kessar, Radha; Linckelmann, Markus
2020
On isotypies between Galois conjugate blocks. Zbl 1263.20010
2012
On saturated fusion systems and Brauer indecomposability of Scott modules. Zbl 1261.20010
Kessar, Radha; Kunugi, Naoko; Mitsuhashi, Naofumi
2011
Equivalences for blocks of the Weyl groups. Zbl 1049.20004
2000
Shintani descent and perfect isometries for blocks of finite general linear groups. Zbl 1078.20013
2004
Scopes reduction for blocks of finite alternating groups. Zbl 1061.20012
2002
Source algebra equivalences for blocks of finite general linear groups over a fixed field. Zbl 0985.20004
2001
Rationality of blocks of quasi-simple finite groups. Zbl 07121929
2019
On the Castelnuovo-Mumford regularity of the cohomology of fusion systems and of the Hochschild cohomology of block algebras. Zbl 1346.20011
2015
On the Brauer indecomposability of Scott modules. Zbl 1330.20013
Kessar, Radha; Koshitani, Shigeo; Linckelmann, Markus
2015
The graded center of the stable category of a Brauer tree algebra. Zbl 1238.16015
2010
On blocks of strongly $$p$$-solvable groups. Zbl 1113.20015
2006
Crossover Morita equivalences for blocks of the covering groups of the symmetric and alternating groups. Zbl 1109.20014
2006
A block theoretic analogue of a theorem of Glauberman and Thompson. Zbl 1007.20010
2003
On perfect isometries for tame blocks. Zbl 1041.20007
2002
On symmetric quotients of symmetric algebras. Zbl 1332.20007
Kessar, Radha; Koshitani, Shigeo; Linckelmann, Markus
2015
Bounds for Hochschild cohomology of block algebras. Zbl 1235.20014
2011
Dade’s ordinary conjecture implies the Alperin-McKay conjecture. Zbl 1441.20006
2019
On perverse equivalences and rationality. Zbl 1403.18010
2018
Blocks with transitive fusion systems. Zbl 1355.20007
Héthelyi, László; Kessar, Radha; Külshammer, Burkhard; Sambale, Benjamin
2015
On the Hilbert series of Hochschild cohomology of block algebras. Zbl 1270.16009
2012
On duality inducing automorphisms and sources of simple modules in classical groups. Zbl 1221.20002
2009
On the endomorphism algebras of modular Gelfand-Graev representations. Zbl 1197.20037
2008
Blocks with a quaternion defect group over a 2-adic ring: the case $$\widetilde A_4$$. Zbl 1127.20011
Holm, Thorsten; Kessar, Radha; Linckelmann, Markus
2007
On Picard groups of blocks of finite groups. Zbl 1453.20015
Boltje, Robert; Kessar, Radha; Linckelmann, Markus
2020
Rationality of blocks of quasi-simple finite groups. Zbl 07121929
2019
Dade’s ordinary conjecture implies the Alperin-McKay conjecture. Zbl 1441.20006
2019
On perverse equivalences and rationality. Zbl 1403.18010
2018
Brauer’s height zero conjecture for quasi-simple groups. Zbl 1437.20006
2017
On blocks of defect two and one simple module, and Lie algebra structure of $$HH^1$$. Zbl 1373.20009
Benson, David; Kessar, Radha; Linckelmann, Markus
2017
Lusztig induction and $$\ell$$-blocks of finite reductive groups. Zbl 1365.20012
2015
A characterisation of nilpotent blocks. Zbl 1344.20013
Kessar, Radha; Linckelmann, Markus; Navarro, Gabriel
2015
On the Castelnuovo-Mumford regularity of the cohomology of fusion systems and of the Hochschild cohomology of block algebras. Zbl 1346.20011
2015
On the Brauer indecomposability of Scott modules. Zbl 1330.20013
Kessar, Radha; Koshitani, Shigeo; Linckelmann, Markus
2015
On symmetric quotients of symmetric algebras. Zbl 1332.20007
Kessar, Radha; Koshitani, Shigeo; Linckelmann, Markus
2015
Blocks with transitive fusion systems. Zbl 1355.20007
Héthelyi, László; Kessar, Radha; Külshammer, Burkhard; Sambale, Benjamin
2015
2-blocks with abelian defect groups. Zbl 1341.20006
Eaton, Charles W.; Kessar, Radha; Külshammer, Burkhard; Sambale, Benjamin
2014
Quasi-isolated blocks and Brauer’s height zero conjecture. Zbl 1317.20006
2013
Conjectures of Alperin and Broué for 2-blocks with elementary Abelian defect groups of order 8. Zbl 1269.20007
Kessar, Radha; Koshitani, Shigeo; Linckelmann, Markus
2012
On blocks stably equivalent to a quantum complete intersection of dimension 9 in characteristic 3 and a case of the Abelian defect group conjecture. Zbl 1264.20013
2012
On isotypies between Galois conjugate blocks. Zbl 1263.20010
2012
On the Hilbert series of Hochschild cohomology of block algebras. Zbl 1270.16009
2012
Fusion systems in algebra and topology. Zbl 1255.20001
Aschbacher, Michael; Kessar, Radha; Oliver, Bob
2011
The structure of blocks with a Klein four defect group. Zbl 1250.20002
Craven, David A.; Eaton, Charles W.; Kessar, Radha; Linckelmann, Markus
2011
On saturated fusion systems and Brauer indecomposability of Scott modules. Zbl 1261.20010
Kessar, Radha; Kunugi, Naoko; Mitsuhashi, Naofumi
2011
Bounds for Hochschild cohomology of block algebras. Zbl 1235.20014
2011
On stable equivalences and blocks with one simple module. Zbl 1196.20013
2010
The graded center of the stable category of a Brauer tree algebra. Zbl 1238.16015
2010
On duality inducing automorphisms and sources of simple modules in classical groups. Zbl 1221.20002
2009
$$ZJ$$-theorems for fusion systems. Zbl 1144.20004
2008
A reduction theorem for fusion systems of blocks. Zbl 1193.20006
2008
On the endomorphism algebras of modular Gelfand-Graev representations. Zbl 1197.20037
2008
Introduction to block theory. Zbl 1165.20007
2007
Blocks inequivalent to their Frobenius twists. Zbl 1135.20002
2007
Blocks with a quaternion defect group over a 2-adic ring: the case $$\widetilde A_4$$. Zbl 1127.20011
Holm, Thorsten; Kessar, Radha; Linckelmann, Markus
2007
The Solomon system $${\mathcal F}_{\text{Sol}}(3)$$ does not occur as fusion system of a 2-block. Zbl 1092.20010
2006
On blocks of strongly $$p$$-solvable groups. Zbl 1113.20015
2006
Crossover Morita equivalences for blocks of the covering groups of the symmetric and alternating groups. Zbl 1109.20014
2006
Scopes reduction and Morita equivalence classes of blocks in finite classical groups. II. Zbl 1072.20012
2005
Quantum complete rings and blocks with one simple module. Zbl 1098.20010
2005
A remark on Donovan’s conjecture. Zbl 1058.20011
2004
Shintani descent and perfect isometries for blocks of finite general linear groups. Zbl 1078.20013
2004
A block theoretic analogue of a theorem of Glauberman and Thompson. Zbl 1007.20010
2003
Symmetric groups, wreath products, Morita equivalences, and Broué’s Abelian defect group conjecture. Zbl 1033.20009
2002
Local control in fusion systems of $$p$$-blocks of finite groups. Zbl 1053.20007
Kessar, Radha; Linckelmann, Markus; Robinson, Geoffrey R.
2002
On blocks with Frobenius inertial quotient. Zbl 1118.20014
2002
Scopes reduction for blocks of finite alternating groups. Zbl 1061.20012
2002
On perfect isometries for tame blocks. Zbl 1041.20007
2002
Source algebra equivalences for blocks of finite general linear groups over a fixed field. Zbl 0985.20004
2001
Scopes reduction and Morita equivalence classes of blocks in finite classical groups. Zbl 0961.20036
2000
Equivalences for blocks of the Weyl groups. Zbl 1049.20004
2000
Blocks and source algebras for the double covers of the symmetric and alternating groups. Zbl 0894.20015
1996
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#### Cited by 194 Authors

 29 Sambale, Benjamin 23 Kessar, Radha 20 Linckelmann, Markus 14 Navarro, Gabriel 12 Livesey, Michael James 11 Külshammer, Burkhard 11 Malle, Gunter 11 Oliver, Bob 11 Zhang, Jiping 10 Koshitani, Shigeo 9 Eaton, Charles William 8 Lynd, Justin 8 Tiep Pham Huu 7 Henke, Ellen 7 Liao, Jun 7 Liu, Yanjun 6 Aschbacher, Michael George 6 Craven, David A. 6 Feng, Zhicheng 6 Semeraro, Jason 6 Todea, Constantin Cosmin 5 An, Jianbei 5 Chuang, Joseph 5 Héthelyi, László 5 Park, Sejong 5 Robinson, Geoffrey Raymond 5 Zhou, Yuanyang 4 Benson, David John 4 Glauberman, George 4 Glesser, Adam 4 Hiss, Gerhard 4 Hu, Xueqin 4 Lassueur, Caroline 4 Müller, Jürgen 4 Noeske, Felix 4 Stancu, Radu 4 Su, Ning 4 Watanabe, Atumi 3 Díaz Ramos, Antonio 3 Evseev, Anton 3 Miyachi, Hyohe 3 Molinier, Rémi 3 Reeh, Sune Precht 3 Sasaki, Hiroki 3 Solomon, Ronald Mark 3 Späth, Britta 3 Tan, Kai Meng 3 Turner, Wesley Michael 3 Viruel, Antonio 3 Zhang, Kun 2 Andersen, Kasper K. S. 2 Ballester-Bolinches, Adolfo 2 Boltje, Robert 2 Coconeţ, Tiberiu 2 Eisele, Florian 2 Farrell, Niamh 2 Gao, Sheng 2 Geline, Michael 2 Gelvin, Matthew J. K. 2 Giannelli, Eugenio 2 Grazian, Valentina 2 Guralnick, Robert Michael 2 Heard, Drew 2 Himstedt, Frank 2 Kawai, Hiroaki 2 Kleshchev, Alexander S. 2 Levi, Ran 2 Li, Conghui 2 Li, Zhenye 2 Libman, Assaf 2 Liu, Heguo 2 Mazza, Nadia Paola 2 Onofrei, Silvia 2 Otokita, Yoshihiro 2 Paolini, Alessandro 2 Parker, Chris W. 2 Ragnarsson, Kári 2 Ruiz, Albert 2 Sakurai, Taro 2 Schaps, Mary Elizabeth 2 Shen, Zhencai 2 Szoke, Máté 2 Tasaka, Fuminori 2 Ventura, Joana 2 Xu, Xingzhong 2 Yalçın, Ergün 1 Ardito, Cesare Giulio 1 Arisha, Hussam 1 Baccanelli, Elisa 1 Barsotti, Jamison 1 Beltrán, Antonio Felip 1 Biland, Erwan 1 Bleher, Frauke M. 1 Bobiński, Grzegorz 1 Broto, Carles 1 Brunat, Olivier 1 Cabanes, Marc 1 Cantarero, José 1 Carman, Rob 1 Caselli, Fabrizio ...and 94 more Authors
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#### Cited in 52 Serials

 124 Journal of Algebra 13 Proceedings of the American Mathematical Society 12 Advances in Mathematics 11 Mathematische Zeitschrift 10 Algebras and Representation Theory 9 Communications in Algebra 9 Journal of Group Theory 8 Journal of Pure and Applied Algebra 8 Transactions of the American Mathematical Society 5 Archiv der Mathematik 5 Memoirs of the American Mathematical Society 5 Journal of Algebra and its Applications 4 Israel Journal of Mathematics 4 Proceedings of the Edinburgh Mathematical Society. Series II 4 Bulletin of the American Mathematical Society. New Series 4 Representation Theory 3 Bulletin of the London Mathematical Society 3 Forum Mathematicum 3 Algebra Colloquium 3 Annals of Mathematics. Second Series 3 Algebraic & Geometric Topology 2 Rocky Mountain Journal of Mathematics 2 Acta Mathematica 2 Inventiones Mathematicae 2 Journal of the London Mathematical Society. Second Series 2 Manuscripta Mathematica 2 Monatshefte für Mathematik 2 Acta Mathematica Sinica. English Series 2 Kyoto Journal of Mathematics 1 Bulletin of the Australian Mathematical Society 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Arkiv för Matematik 1 Acta Mathematica Vietnamica 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Compositio Mathematica 1 Mathematische Annalen 1 Results in Mathematics 1 Topology and its Applications 1 European Journal of Combinatorics 1 Note di Matematica 1 International Journal of Algebra and Computation 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Expositiones Mathematicae 1 Selecta Mathematica. New Series 1 Geometry & Topology 1 LMS Journal of Computation and Mathematics 1 Journal of the European Mathematical Society (JEMS) 1 Journal of Homotopy and Related Structures 1 Algebra & Number Theory 1 Science China. Mathematics 1 Forum of Mathematics, Sigma 1 Proceedings of the American Mathematical Society. Series B
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#### Cited in 17 Fields

 283 Group theory and generalizations (20-XX) 58 Algebraic topology (55-XX) 57 Associative rings and algebras (16-XX) 11 $$K$$-theory (19-XX) 8 Category theory; homological algebra (18-XX) 7 Combinatorics (05-XX) 6 Nonassociative rings and algebras (17-XX) 3 Manifolds and cell complexes (57-XX) 2 Number theory (11-XX) 2 Commutative algebra (13-XX) 2 Topological groups, Lie groups (22-XX) 1 General and overarching topics; collections (00-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Convex and discrete geometry (52-XX) 1 Computer science (68-XX)

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