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Szechtman, Fernando

Author ID: szechtman.fernando Recent zbMATH articles by "Szechtman, Fernando"
Published as: Szechtman, Fernando; Szechtman, F.

Publications by Year

Citations contained in zbMATH Open

61 Publications have been cited 249 times in 147 Documents Cited by Year
On Tate’s trace. Zbl 1130.15001
Argerami, Martin; Szechtman, Fernando; Tifenbach, Ryan
19
2007
Weil representations of symplectic groups over rings. Zbl 1037.20044
Cliff, Gerald; McNeilly, David; Szechtman, Fernando
17
2000
The classification of uniserial \(\mathfrak{sl}(2)\ltimes V(m)\)-modules and a new interpretation of the Racah-Wigner \(6j\)-symbol. Zbl 1317.17013
Cagliero, Leandro; Szechtman, Fernando
15
2013
On the theorem of the primitive element with applications to the representation theory of associative and Lie algebras. Zbl 1333.17007
Cagliero, Leandro; Szechtman, Fernando
9
2014
An algorithm that carries a square matrix into its transpose by an involutory congruence transformation. Zbl 1055.65056
Đoković, Dragomir Ž.; Szechtman, F.; Zhao, K.
8
2003
On the automorphism group of the centralizer of an idempotent in the full transformation monoid. Zbl 1080.20057
Szechtman, Fernando
7
2005
Characterization of bilinear spaces with unimodular isometry group. Zbl 1084.15023
Đokovic, Dragomir Z.; Szechtman, Fernando
7
2005
Groups having a faithful irreducible representation. Zbl 1348.20008
Szechtman, Fernando
7
2016
Structure of the group preserving a bilinear form. Zbl 1143.20029
Szechtman, Fernando
7
2005
Clifford and Mackey theory for Weil representations of symplectic groups. Zbl 1143.20307
Cliff, Gerald; McNeilly, David; Szechtman, Fernando
6
2003
\(n\)-inner automorphisms of finite groups. Zbl 1040.20020
Szechtman, Fernando
6
2003
Weil representations of the symplectic group. Zbl 0932.20047
Szechtman, Fernando
6
1998
Indecomposable modules of 2-step solvable Lie algebras in arbitrary characteristic. Zbl 1379.17009
Cagliero, Leandro; Szechtman, Fernando
6
2016
Equivalence and congruence of matrices under the action of standard parabolic subgroups. Zbl 1154.15016
Szechtman, Fernando
6
2007
Quadratic Gauss sums over finite commutative rings. Zbl 1016.11056
Szechtman, Fernando
5
2002
Jordan-Chevalley decomposition in finite dimensional Lie algebras. Zbl 1258.17009
Cagliero, Leandro; Szechtman, Fernando
5
2011
Classification of finite dimensional uniserial representations of conformal Galilei algebras. Zbl 1361.17013
Cagliero, Leandro; Gutiérrez Frez, Luis; Szechtman, Fernando
5
2016
The Weil representation of a unitary group associated to a ramified quadratic extension of a finite local ring. Zbl 1303.20048
Herman, Allen; Szechtman, Fernando
5
2013
Unitary groups over local rings. Zbl 1306.11034
Cruickshank, J.; Herman, A.; Quinlan, R.; Szechtman, F.
5
2014
Indecomposable modules of a family of solvable Lie algebras. Zbl 1427.17011
Casati, Paolo; Previtali, Andrea; Szechtman, Fernando
5
2017
The Weil character of the unitary group associated to a finite local ring. Zbl 1041.20031
Gow, Roderick; Szechtman, Fernando
4
2002
Character fields and Schur indices of irreducible Weil characters. Zbl 1041.20030
Cliff, G.; McNeilly, D.; Szechtman, F.
4
2004
Classification of linked indecomposable modules of a family of solvable Lie algebras over an arbitrary field of characteristic 0. Zbl 1395.17015
Cagliero, Leandro; Szechtman, Fernando
4
2016
Subalgebras of matrix algebras generated by companion matrices. Zbl 1194.16023
Guersenzvaig, N. H.; Szechtman, Fernando
4
2010
Free 2-step nilpotent Lie algebras and indecomposable representations. Zbl 1483.17010
Cagliero, Leandro; Gutiérrez Frez, Luis; Szechtman, Fernando
4
2018
A closed formula for the product in simple integral extensions. Zbl 1211.15020
Guersenzvaig, Natalio H.; Szechtman, Fernando
4
2009
Infinite groups admitting a faithful irreducible representation. Zbl 1379.20003
Szechtman, Fernando; Tushev, Anatolii
4
2018
A family of complex irreducible characters possessed by unitary and special unitary groups defined over local rings. Zbl 1027.20022
Szechtman, Fernando
3
2003
Weil representations of symplectic groups over non-principal rings. Zbl 1088.20023
Szechtman, Fernando
3
2005
An elementary proof of Gabriel’s theorem on degenerate bilinear forms and its generalization. Zbl 1068.16022
Đoković, Dragomir Ž.; Szechtman, Fernando
3
2004
Weil representations of unitary groups. Zbl 0945.20028
Szechtman, Fernando
3
1999
Steinberg lattice of the general linear group and its modular reduction. Zbl 1243.20059
Szechtman, Fernando
3
2011
Congruence of symmetric matrices over local rings. Zbl 1173.15008
Cao, Yonglin; Szechtman, Fernando
3
2009
Structure of the Macdonald groups in one parameter. Zbl 1537.20049
Montoya Ocampo, Alexander; Szechtman, Fernando
3
2024
Composition series of \(\mathfrak{gl}(m)\) as a module for its classical subalgebras over an arbitrary field. Zbl 1327.17005
Chaktoura, Martin; Szechtman, Fernando
3
2014
Generators and relations for the unitary group of a skew Hermitian form over a local ring. Zbl 1480.20119
Cruickshank, J.; Szechtman, F.
3
2018
Generalized Artin-Schreier polynomials. Zbl 1336.12001
Guersenzvaig, N. H.; Szechtman, Fernando
2
2015
Irreducible characters of Sylow subgroups of symplectic and unitary groups. Zbl 1114.20006
Szechtman, Fernando
2
2006
Nilpotency degree of the nilradical of a solvable Lie algebra on two generators and uniserial modules associated to free nilpotent Lie algebras. Zbl 1482.17022
Cagliero, Leandro; Levstein, Fernando; Szechtman, Fernando
2
2021
Unitary groups and ramified extensions. Zbl 1416.15008
Cruickshank, J.; Szechtman, Fernando
2
2019
Linear Diophantine equations in several variables. Zbl 1525.11029
Quinlan, R.; Shau, M.; Szechtman, F.
2
2022
Representations of McLain groups. Zbl 1406.20013
Szechtman, Fernando; Herman, Allen; Izadi, Mohammad A.
2
2017
Is every matrix similar to a polynomial in a companion matrix? Zbl 1259.15013
Guersenzvaig, N. H.; Szechtman, Fernando
2
2012
Reductivity of the Lie algebra of a bilinear form. Zbl 1359.17017
Ahmadi, S. Ruhallah; Chaktoura, Martin; Szechtman, Fernando
2
2014
Hermitian and skew Hermitian forms over local rings. Zbl 1423.11074
Cruickshank, James; Quinlan, Rachel; Szechtman, Fernando
2
2018
Roots multiplicity and square-free factorization of polynomials using companion matrices. Zbl 1320.12002
Guersenzvaig, N. H.; Szechtman, Fernando
2
2012
Equivalence and normal forms of bilinear forms. Zbl 1282.15012
Szechtman, Fernando
2
2014
On the isomorphism problem for certain \(p\)-groups. Zbl 1542.20094
Ocampo, Alexander Montoya; Szechtman, Fernando
2
2024
Solution of the congruence problem for arbitrary Hermitian and skew-Hermitian matrices over polynomial rings. Zbl 1031.15026
Đoković, Dragomir Ž.; Szechtman, Fernando
1
2003
The 2-modular reduction of the Steinberg representation of a finite Chevalley group of type \(C_n\). Zbl 1076.20032
Szechtman, Fernando
1
2005
Irreducible representations of unipotent subgroups of symplectic and unitary groups defined over rings. Zbl 1388.20019
Szechtman, Fernando
1
2017
Modular reduction of the Steinberg lattice of the general linear group. Zbl 1173.20034
Szechtman, Fernando
1
2008
Weil representations via abstract data and Heisenberg groups: a comparison. Zbl 1456.20002
Cruickshank, J.; Gutiérrez Frez, L.; Szechtman, F.
1
2020
Diagonal plus tridiagonal representatives for symplectic congruence classes of symmetric matrices. Zbl 1138.17003
Đokovic, D. Z.; Szechtman, F.; Zhao, K.
1
2005
Clifford theory for infinite dimensional modules. Zbl 1380.20050
Szechtman, Fernando
1
2017
Modular representations of Heisenberg algebras. Zbl 1292.17007
Szechtman, Fernando
1
2014
Lie algebras and bilinear forms in characteristic 2. Zbl 1373.17014
Ahmadi, S. Ruhallah; Izadi, Mohammad A.; Szechtman, Fernando
1
2014
Weil representations of unitary groups over ramified extensions of finite local rings with odd nilpotency length. Zbl 1470.20023
Szechtman, Fernando; Shau, Momuita; Herman, Allen
1
2019
Jordan-Chevalley decomposition in Lie algebras. Zbl 1460.17012
Cagliero, Leandro; Szechtman, Fernando
1
2019
The automorphism group of finite \(2\)-groups associated to the Macdonald group. Zbl 07902404
Ocampo, Alexander Montoya; Szechtman, Fernando
1
2024
A note on orthogonal Lie algebras in dimension 4 viewed as current Lie algebras. Zbl 1362.17010
Chaktoura, Martin; Szechtman, Fernando
1
2013
Structure of the Macdonald groups in one parameter. Zbl 1537.20049
Montoya Ocampo, Alexander; Szechtman, Fernando
3
2024
On the isomorphism problem for certain \(p\)-groups. Zbl 1542.20094
Ocampo, Alexander Montoya; Szechtman, Fernando
2
2024
The automorphism group of finite \(2\)-groups associated to the Macdonald group. Zbl 07902404
Ocampo, Alexander Montoya; Szechtman, Fernando
1
2024
Linear Diophantine equations in several variables. Zbl 1525.11029
Quinlan, R.; Shau, M.; Szechtman, F.
2
2022
Nilpotency degree of the nilradical of a solvable Lie algebra on two generators and uniserial modules associated to free nilpotent Lie algebras. Zbl 1482.17022
Cagliero, Leandro; Levstein, Fernando; Szechtman, Fernando
2
2021
Weil representations via abstract data and Heisenberg groups: a comparison. Zbl 1456.20002
Cruickshank, J.; Gutiérrez Frez, L.; Szechtman, F.
1
2020
Unitary groups and ramified extensions. Zbl 1416.15008
Cruickshank, J.; Szechtman, Fernando
2
2019
Weil representations of unitary groups over ramified extensions of finite local rings with odd nilpotency length. Zbl 1470.20023
Szechtman, Fernando; Shau, Momuita; Herman, Allen
1
2019
Jordan-Chevalley decomposition in Lie algebras. Zbl 1460.17012
Cagliero, Leandro; Szechtman, Fernando
1
2019
Free 2-step nilpotent Lie algebras and indecomposable representations. Zbl 1483.17010
Cagliero, Leandro; Gutiérrez Frez, Luis; Szechtman, Fernando
4
2018
Infinite groups admitting a faithful irreducible representation. Zbl 1379.20003
Szechtman, Fernando; Tushev, Anatolii
4
2018
Generators and relations for the unitary group of a skew Hermitian form over a local ring. Zbl 1480.20119
Cruickshank, J.; Szechtman, F.
3
2018
Hermitian and skew Hermitian forms over local rings. Zbl 1423.11074
Cruickshank, James; Quinlan, Rachel; Szechtman, Fernando
2
2018
Indecomposable modules of a family of solvable Lie algebras. Zbl 1427.17011
Casati, Paolo; Previtali, Andrea; Szechtman, Fernando
5
2017
Representations of McLain groups. Zbl 1406.20013
Szechtman, Fernando; Herman, Allen; Izadi, Mohammad A.
2
2017
Irreducible representations of unipotent subgroups of symplectic and unitary groups defined over rings. Zbl 1388.20019
Szechtman, Fernando
1
2017
Clifford theory for infinite dimensional modules. Zbl 1380.20050
Szechtman, Fernando
1
2017
Groups having a faithful irreducible representation. Zbl 1348.20008
Szechtman, Fernando
7
2016
Indecomposable modules of 2-step solvable Lie algebras in arbitrary characteristic. Zbl 1379.17009
Cagliero, Leandro; Szechtman, Fernando
6
2016
Classification of finite dimensional uniserial representations of conformal Galilei algebras. Zbl 1361.17013
Cagliero, Leandro; Gutiérrez Frez, Luis; Szechtman, Fernando
5
2016
Classification of linked indecomposable modules of a family of solvable Lie algebras over an arbitrary field of characteristic 0. Zbl 1395.17015
Cagliero, Leandro; Szechtman, Fernando
4
2016
Generalized Artin-Schreier polynomials. Zbl 1336.12001
Guersenzvaig, N. H.; Szechtman, Fernando
2
2015
On the theorem of the primitive element with applications to the representation theory of associative and Lie algebras. Zbl 1333.17007
Cagliero, Leandro; Szechtman, Fernando
9
2014
Unitary groups over local rings. Zbl 1306.11034
Cruickshank, J.; Herman, A.; Quinlan, R.; Szechtman, F.
5
2014
Composition series of \(\mathfrak{gl}(m)\) as a module for its classical subalgebras over an arbitrary field. Zbl 1327.17005
Chaktoura, Martin; Szechtman, Fernando
3
2014
Reductivity of the Lie algebra of a bilinear form. Zbl 1359.17017
Ahmadi, S. Ruhallah; Chaktoura, Martin; Szechtman, Fernando
2
2014
Equivalence and normal forms of bilinear forms. Zbl 1282.15012
Szechtman, Fernando
2
2014
Modular representations of Heisenberg algebras. Zbl 1292.17007
Szechtman, Fernando
1
2014
Lie algebras and bilinear forms in characteristic 2. Zbl 1373.17014
Ahmadi, S. Ruhallah; Izadi, Mohammad A.; Szechtman, Fernando
1
2014
The classification of uniserial \(\mathfrak{sl}(2)\ltimes V(m)\)-modules and a new interpretation of the Racah-Wigner \(6j\)-symbol. Zbl 1317.17013
Cagliero, Leandro; Szechtman, Fernando
15
2013
The Weil representation of a unitary group associated to a ramified quadratic extension of a finite local ring. Zbl 1303.20048
Herman, Allen; Szechtman, Fernando
5
2013
A note on orthogonal Lie algebras in dimension 4 viewed as current Lie algebras. Zbl 1362.17010
Chaktoura, Martin; Szechtman, Fernando
1
2013
Is every matrix similar to a polynomial in a companion matrix? Zbl 1259.15013
Guersenzvaig, N. H.; Szechtman, Fernando
2
2012
Roots multiplicity and square-free factorization of polynomials using companion matrices. Zbl 1320.12002
Guersenzvaig, N. H.; Szechtman, Fernando
2
2012
Jordan-Chevalley decomposition in finite dimensional Lie algebras. Zbl 1258.17009
Cagliero, Leandro; Szechtman, Fernando
5
2011
Steinberg lattice of the general linear group and its modular reduction. Zbl 1243.20059
Szechtman, Fernando
3
2011
Subalgebras of matrix algebras generated by companion matrices. Zbl 1194.16023
Guersenzvaig, N. H.; Szechtman, Fernando
4
2010
A closed formula for the product in simple integral extensions. Zbl 1211.15020
Guersenzvaig, Natalio H.; Szechtman, Fernando
4
2009
Congruence of symmetric matrices over local rings. Zbl 1173.15008
Cao, Yonglin; Szechtman, Fernando
3
2009
Modular reduction of the Steinberg lattice of the general linear group. Zbl 1173.20034
Szechtman, Fernando
1
2008
On Tate’s trace. Zbl 1130.15001
Argerami, Martin; Szechtman, Fernando; Tifenbach, Ryan
19
2007
Equivalence and congruence of matrices under the action of standard parabolic subgroups. Zbl 1154.15016
Szechtman, Fernando
6
2007
Irreducible characters of Sylow subgroups of symplectic and unitary groups. Zbl 1114.20006
Szechtman, Fernando
2
2006
On the automorphism group of the centralizer of an idempotent in the full transformation monoid. Zbl 1080.20057
Szechtman, Fernando
7
2005
Characterization of bilinear spaces with unimodular isometry group. Zbl 1084.15023
Đokovic, Dragomir Z.; Szechtman, Fernando
7
2005
Structure of the group preserving a bilinear form. Zbl 1143.20029
Szechtman, Fernando
7
2005
Weil representations of symplectic groups over non-principal rings. Zbl 1088.20023
Szechtman, Fernando
3
2005
The 2-modular reduction of the Steinberg representation of a finite Chevalley group of type \(C_n\). Zbl 1076.20032
Szechtman, Fernando
1
2005
Diagonal plus tridiagonal representatives for symplectic congruence classes of symmetric matrices. Zbl 1138.17003
Đokovic, D. Z.; Szechtman, F.; Zhao, K.
1
2005
Character fields and Schur indices of irreducible Weil characters. Zbl 1041.20030
Cliff, G.; McNeilly, D.; Szechtman, F.
4
2004
An elementary proof of Gabriel’s theorem on degenerate bilinear forms and its generalization. Zbl 1068.16022
Đoković, Dragomir Ž.; Szechtman, Fernando
3
2004
An algorithm that carries a square matrix into its transpose by an involutory congruence transformation. Zbl 1055.65056
Đoković, Dragomir Ž.; Szechtman, F.; Zhao, K.
8
2003
Clifford and Mackey theory for Weil representations of symplectic groups. Zbl 1143.20307
Cliff, Gerald; McNeilly, David; Szechtman, Fernando
6
2003
\(n\)-inner automorphisms of finite groups. Zbl 1040.20020
Szechtman, Fernando
6
2003
A family of complex irreducible characters possessed by unitary and special unitary groups defined over local rings. Zbl 1027.20022
Szechtman, Fernando
3
2003
Solution of the congruence problem for arbitrary Hermitian and skew-Hermitian matrices over polynomial rings. Zbl 1031.15026
Đoković, Dragomir Ž.; Szechtman, Fernando
1
2003
Quadratic Gauss sums over finite commutative rings. Zbl 1016.11056
Szechtman, Fernando
5
2002
The Weil character of the unitary group associated to a finite local ring. Zbl 1041.20031
Gow, Roderick; Szechtman, Fernando
4
2002
Weil representations of symplectic groups over rings. Zbl 1037.20044
Cliff, Gerald; McNeilly, David; Szechtman, Fernando
17
2000
Weil representations of unitary groups. Zbl 0945.20028
Szechtman, Fernando
3
1999
Weil representations of the symplectic group. Zbl 0932.20047
Szechtman, Fernando
6
1998
all top 5

Cited by 135 Authors

42 Szechtman, Fernando
18 Pablos Romo, Fernando
9 Cagliero, Leandro
7 Konieczny, Janusz
6 Gutiérrez Frez, Luis
5 Cruickshank, James
5 Sergeĭchuk, Volodymyr Vasyl’ovych
4 Đoković, Dragomir Ž.
4 Guersenzvaig, Natalio H.
4 Herman, Allen
4 Tushev, Anatoliĭ V.
4 Zhao, Kaiming
3 Can, Mahir Bilen
3 Cherniavsky, Yonah
3 Horn, Roger Alan
3 Quinlan, Rachel
2 Ahmadi, S. Ruhallah
2 Alonso, Diego Alba
2 Araújo, João
2 Bonciocat, Nicolae Ciprian
2 Cabezas Sánchez, Víctor
2 Casati, Paolo
2 Cliff, Gerald H.
2 Futorny, Vyacheslav M.
2 Geck, Meinolf
2 Gómez-Rivera, Iván
2 Izadi, Mohammad A.
2 Lü, Rencai
2 Mazorchuk, Volodymyr
2 McNeilly, David
2 Pantoja, José E.
2 Rai, Pradeep Kumar
2 Talboom, John
2 Twelbeck, Tim
2 Yadav, Manoj Kumar
1 Abdesselam, Abdelmalek
1 Abirami, K. M.
1 Afra, M.
1 Agore, Ana-Loredana
1 Aubert, Anne-Marie
1 Babaghasabha, Reza
1 Bagno, Eli
1 Bai, Haichuan
1 Bardestani, Mohammad
1 Bavula, Vladimir V.
1 Bevelacqua, Anthony J.
1 Billig, Yuly
1 Bingham, Aram
1 Blondel, Corinne
1 Bonciocat, Anca Iuliana
1 Bonciocat, Ciprian Mircea
1 Bugeaud, Yann
1 Caalim, Jonathan V.
1 Cacciatori, Sergio Luigi
1 Cao, Yonglin
1 Caprace, Pierre-Emmanuel
1 Catral, Minerva
1 Chaktoura, Martin
1 Cheon, Gi-Sang
1 Cihan, Mehmet Sefa
1 Cipu, Mihai
1 Coakley, Edward S.
1 Compagnoni, Marco
1 Davydov, Alekseĭ Aleksandrovich
1 de la Harpe, Pierre
1 Dmytryshyn, Andrii R.
1 Dobson, Edward
1 Dopico, Froilán M.
1 Duffield, Drew Damien
1 Edelman, Alan Stuart
1 Fakhri, Hossein
1 Fateh, Mohammad Mehdi
1 Gajardo, Andrea Vera
1 García-Delgado, Rosendo
1 Gerasimova, Tatiana G.
1 Getz, Jayce Robert
1 Hernández Serrano, Daniel
1 Howe, Roger Evans
1 Hu, Zhiguang
1 Jeong, Sungwoo
1 Johnson, Charles Royal
1 Kågström, Bo
1 Kaiblinger, Norbert
1 Karai, Keivan Mallahi
1 Kim, Hana
1 Kitture, Rahul Dattatraya
1 Klimenko, Lena
1 Knibbeler, Vincent
1 Kunyavskiĭ, Boris Èmmanuilovich
1 Kurdachenko, Leonid Andriĭovych
1 Lebtahi, Leila
1 Levstein, Fernando
1 Lima, Marcos Goulart
1 Lombardo, Sara
1 Lomelí, Luis Alberto
1 Lu, Tao
1 Maktouf, Khemais
1 Matsutani, Shigeki
1 Militaru, Gigel
1 Neuhauser, Markus
...and 35 more Authors
all top 5

Cited in 52 Serials

26 Linear Algebra and its Applications
19 Journal of Algebra
15 Communications in Algebra
9 Linear and Multilinear Algebra
7 Journal of Algebra and its Applications
5 Journal of Group Theory
3 Journal of Mathematical Physics
3 Canadian Mathematical Bulletin
3 Journal of Lie Theory
3 ELA. The Electronic Journal of Linear Algebra
3 Algebras and Representation Theory
2 Bulletin of the Australian Mathematical Society
2 Discrete Mathematics
2 Rendiconti del Circolo Matemàtico di Palermo. Serie II
2 Results in Mathematics
2 Semigroup Forum
2 International Journal of Algebra and Computation
2 Indagationes Mathematicae. New Series
2 The Electronic Journal of Combinatorics
2 Central European Journal of Mathematics
2 Asian-European Journal of Mathematics
1 Rocky Mountain Journal of Mathematics
1 Ukrainian Mathematical Journal
1 Acta Arithmetica
1 Annales de l’Institut Fourier
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Colloquium Mathematicum
1 International Journal of Mathematics and Mathematical Sciences
1 Journal of the London Mathematical Society. Second Series
1 Journal of the Mathematical Society of Japan
1 Journal of Number Theory
1 Journal of Pure and Applied Algebra
1 Mathematische Nachrichten
1 Ricerche di Matematica
1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
1 Expositiones Mathematicae
1 Journal of Mathematical Sciences (New York)
1 Transformation Groups
1 Nonlinear Dynamics
1 Taiwanese Journal of Mathematics
1 Communications in Contemporary Mathematics
1 Journal of High Energy Physics
1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
1 Mediterranean Journal of Mathematics
1 Foundations of Physics
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Operators and Matrices
1 Confluentes Mathematici
1 ISRN Algebra
1 Research in the Mathematical Sciences
1 European Journal of Mathematics
1 Researches in Mathematics

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