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Formanek, Edward W.

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Author ID: formanek.edward-w Recent zbMATH articles by "Formanek, Edward W."
Published as: Formanek, E.; Formanek, Edward; Formanek, Edward W.
Documents Indexed: 66 Publications since 1970, including 2 Books

Publications by Year

Citations contained in zbMATH

61 Publications have been cited 923 times in 700 Documents Cited by Year
Invariants and the ring of generic matrices. Zbl 0549.16008
Formanek, Edward
82
1984
Central polynomials for matrix rings. Zbl 0242.15004
Formanek, Edward
78
1972
Polynomial identity rings. Zbl 1077.16025
Drensky, Vesselin; Formanek, Edward
42
2004
Conjugate separability in polycyclic groups. Zbl 0345.20031
Formanek, Edward
38
1976
The automorphism group of a free group is not linear. Zbl 0780.20023
Formanek, Edward; Procesi, Claudio
37
1992
The polynomial identities and invariants of n\(\times n\) matrices. Zbl 0714.16001
Formanek, Edward
36
1991
The center of the ring of \(3\times 3\) generic matrices. Zbl 0419.16010
Formanek, Edward
34
1979
The automorphism group of a free group is complete. Zbl 0313.20021
Dyer, Joan L.; Formanek, Edward
33
1975
The Poincaré series of the ring of 2x2 generic matrices. Zbl 0459.16013
Formanek, Edward; Halpin, Patrick; Li, Wen-Ch’ing Winnie
27
1981
Group rings of free products are primitive. Zbl 0266.16008
Formanek, Edward
27
1973
The center of the ring of \(4\times 4\) generic matrices. Zbl 0437.16013
Formanek, Edward
26
1980
A conjecture of Regev about the Capelli polynomial. Zbl 0625.16015
Formanek, Edward
25
1987
Subrings of Noetherian rings. Zbl 0267.13009
Formanek, Edward; Jategaonkar, Arun Vinayak
25
1974
Poincaré series and a problem of S. Montgomery. Zbl 0493.15020
Dicks, Warren; Formanek, Edward
24
1982
A question of B. Plotkin about the semigroup of endomorphisms of a free group. Zbl 0993.20020
Formanek, Edward
23
2002
Hilbert series of fixed free algebras and noncommutative classical invariant theory. Zbl 0628.16004
Almkvist, Gert; Dicks, Warren; Formanek, Edward
20
1985
Noetherian PI-rings. Zbl 0272.16004
Formanek, Edward
20
1974
Braid group representations of low degree. Zbl 0855.20038
Formanek, Edward
19
1996
The group determinant determines the group. Zbl 0742.20008
Formanek, Edward; Sibley, David
19
1991
The polynomial identities of matrices. Zbl 0503.16016
Formanek, Edward
16
1982
IA-automorphism of certain two-generator torsion-free groups. Zbl 0328.20034
Bachmuth, Seymour; Formanek, Edward; Mochizuki, Horace Y.
16
1976
Maximal quotient rings of group rings. Zbl 0255.16004
Formanek, Edward
16
1974
On the linearity of automorphism groups of free groups. Zbl 0476.20025
Dyer, Joan L.; Formanek, Edward; Grossman, Edna K.
14
1982
The zero divisor question for supersolvable groups. Zbl 0256.16005
Formanek, Edward
14
1973
The invariants of \(n\times n\) matrices. Zbl 0645.16012
Formanek, Edward
12
1987
Noncommutative invariant theory. Zbl 0609.16008
Formanek, Edward
12
1985
Characteristic subgroups and complete automorphism groups. Zbl 0367.20041
Dyer, Joan L.; Formanek, Edward
12
1977
The ring of generic matrices. Zbl 1047.16013
Formanek, Edward
11
2002
Primitive group rings. Zbl 0223.16007
Formanek, Edward; Snider, Robert L.
11
1973
Characterizing a free group in its automorphism group. Zbl 0715.20022
Formanek, Edward
10
1990
Idempotents in Noetherian group rings. Zbl 0224.16013
Formanek, Edward
10
1972
The irreducible complex representations of the braid group on \(n\) strings of degree \(\leq n\). Zbl 1050.20024
Formanek, Edward; Lee, Woo; Sysoeva, Inna; Vazirani, Monica
9
2003
The rank three case of the Hanna Neumann conjecture. Zbl 0976.20011
Dicks, Warren; Formanek, Edward
9
2001
Profinite completions and isomorphic finite quotients. Zbl 0477.20014
Dixon, John D.; Formanek, Edward W.; Poland, John C.; Ribes, Luis
9
1982
Automorphism sequences of free nilpotent groups of class two. Zbl 0324.20043
Dyer, Joan L.; Formanek, Edward
9
1976
A problem of Passman on semisimplicity. Zbl 0256.16007
Formanek, Edward
9
1972
The group algebra of the infinite symmetric group. Zbl 0334.16013
Formanek, Edward; Lawrence, John
8
1976
The Nagata-Higman theorem. Zbl 0714.16018
Formanek, Edward
7
1990
Ideals in group rings of free products. Zbl 0383.16007
Formanek, Edward; Lichtman, A. I.
7
1978
Generating the ring of matrix invariants. Zbl 0602.16017
Formanek, Edward
6
1986
Mumford’s conjecture for the general linear group. Zbl 0346.20021
Formanek, Edward; Procesi, Claudio
6
1976
A problem of Herstein on group rings. Zbl 0291.16009
Formanek, Edward
6
1974
The conjugation representation and fusionless extensions. Zbl 0206.31402
Formanek, E.
5
1971
Two notes on the Jacobian conjecture. Zbl 0603.13014
Formanek, Edward
4
1987
Complete automorphism groups. Zbl 0304.20030
Dyer, Joan L.; Formanek, Edward
4
1975
Tensor products of specializations of the Burau representation. Zbl 1079.20050
Abdulrahim, Mohammad N.; Formanek, Edward
3
2005
Fixed points and centers of automorphism groups of free nilpotent groups. Zbl 1002.20019
Formanek, Edward
3
2002
Observations about the Jacobian conjecture. Zbl 0812.13014
Formanek, Edward
3
1994
Functional equations for character series associated with n\(\times n\) matrices. Zbl 0597.16013
Formanek, Edward
3
1986
Rational function fields. Noether’s problem and related questions. Zbl 0528.12018
Formanek, E.
3
1984
Faithful Noetherian modules. Zbl 0248.13018
Formanek, Edward
3
1973
Algebraic mapping-class groups of orientable surfaces with boundaries. Zbl 1176.57022
Dicks, Warren; Formanek, Edward
2
2005
Automorphism subgroups of finite index in algebraic mapping class groups. Zbl 0873.20029
Dicks, Warren; Formanek, Edward
2
1997
Some remarks about the reduced trace. Zbl 0688.16019
Formanek, Edward
2
1989
Groups acting on the ring of two 2\(\times 2\) generic matrices and a coproduct decomposition of its trace ring. Zbl 0574.16007
Formanek, Edward; Schofield, A. H.
2
1985
The equation \(s^{-1}t^{-1}st=u^{_1}v^{-1}uv\) in a free product of groups. Zbl 0329.20022
Burns, R. G.; Edmunds, C. C.; Formanek, Edward
2
1977
A short proof of the Amitsur-Levitzki theorem. Zbl 0289.16016
Formanek, Edward
2
1975
The conjugation representation and fusionless extensions. Zbl 0216.07802
Formanek, E.
2
1971
A short proof of a theorem of Jennings. Zbl 0223.20033
Formanek, Edward
2
1970
The type I part of the regular representation. Zbl 0253.43012
Formanek, Edward
1
1974
Extending partial right orders on nilpotent groups. Zbl 0266.06007
Formanek, Edward
1
1973
Tensor products of specializations of the Burau representation. Zbl 1079.20050
Abdulrahim, Mohammad N.; Formanek, Edward
3
2005
Algebraic mapping-class groups of orientable surfaces with boundaries. Zbl 1176.57022
Dicks, Warren; Formanek, Edward
2
2005
Polynomial identity rings. Zbl 1077.16025
Drensky, Vesselin; Formanek, Edward
42
2004
The irreducible complex representations of the braid group on \(n\) strings of degree \(\leq n\). Zbl 1050.20024
Formanek, Edward; Lee, Woo; Sysoeva, Inna; Vazirani, Monica
9
2003
A question of B. Plotkin about the semigroup of endomorphisms of a free group. Zbl 0993.20020
Formanek, Edward
23
2002
The ring of generic matrices. Zbl 1047.16013
Formanek, Edward
11
2002
Fixed points and centers of automorphism groups of free nilpotent groups. Zbl 1002.20019
Formanek, Edward
3
2002
The rank three case of the Hanna Neumann conjecture. Zbl 0976.20011
Dicks, Warren; Formanek, Edward
9
2001
Automorphism subgroups of finite index in algebraic mapping class groups. Zbl 0873.20029
Dicks, Warren; Formanek, Edward
2
1997
Braid group representations of low degree. Zbl 0855.20038
Formanek, Edward
19
1996
Observations about the Jacobian conjecture. Zbl 0812.13014
Formanek, Edward
3
1994
The automorphism group of a free group is not linear. Zbl 0780.20023
Formanek, Edward; Procesi, Claudio
37
1992
The polynomial identities and invariants of n\(\times n\) matrices. Zbl 0714.16001
Formanek, Edward
36
1991
The group determinant determines the group. Zbl 0742.20008
Formanek, Edward; Sibley, David
19
1991
Characterizing a free group in its automorphism group. Zbl 0715.20022
Formanek, Edward
10
1990
The Nagata-Higman theorem. Zbl 0714.16018
Formanek, Edward
7
1990
Some remarks about the reduced trace. Zbl 0688.16019
Formanek, Edward
2
1989
A conjecture of Regev about the Capelli polynomial. Zbl 0625.16015
Formanek, Edward
25
1987
The invariants of \(n\times n\) matrices. Zbl 0645.16012
Formanek, Edward
12
1987
Two notes on the Jacobian conjecture. Zbl 0603.13014
Formanek, Edward
4
1987
Generating the ring of matrix invariants. Zbl 0602.16017
Formanek, Edward
6
1986
Functional equations for character series associated with n\(\times n\) matrices. Zbl 0597.16013
Formanek, Edward
3
1986
Hilbert series of fixed free algebras and noncommutative classical invariant theory. Zbl 0628.16004
Almkvist, Gert; Dicks, Warren; Formanek, Edward
20
1985
Noncommutative invariant theory. Zbl 0609.16008
Formanek, Edward
12
1985
Groups acting on the ring of two 2\(\times 2\) generic matrices and a coproduct decomposition of its trace ring. Zbl 0574.16007
Formanek, Edward; Schofield, A. H.
2
1985
Invariants and the ring of generic matrices. Zbl 0549.16008
Formanek, Edward
82
1984
Rational function fields. Noether’s problem and related questions. Zbl 0528.12018
Formanek, E.
3
1984
Poincaré series and a problem of S. Montgomery. Zbl 0493.15020
Dicks, Warren; Formanek, Edward
24
1982
The polynomial identities of matrices. Zbl 0503.16016
Formanek, Edward
16
1982
On the linearity of automorphism groups of free groups. Zbl 0476.20025
Dyer, Joan L.; Formanek, Edward; Grossman, Edna K.
14
1982
Profinite completions and isomorphic finite quotients. Zbl 0477.20014
Dixon, John D.; Formanek, Edward W.; Poland, John C.; Ribes, Luis
9
1982
The Poincaré series of the ring of 2x2 generic matrices. Zbl 0459.16013
Formanek, Edward; Halpin, Patrick; Li, Wen-Ch’ing Winnie
27
1981
The center of the ring of \(4\times 4\) generic matrices. Zbl 0437.16013
Formanek, Edward
26
1980
The center of the ring of \(3\times 3\) generic matrices. Zbl 0419.16010
Formanek, Edward
34
1979
Ideals in group rings of free products. Zbl 0383.16007
Formanek, Edward; Lichtman, A. I.
7
1978
Characteristic subgroups and complete automorphism groups. Zbl 0367.20041
Dyer, Joan L.; Formanek, Edward
12
1977
The equation \(s^{-1}t^{-1}st=u^{_1}v^{-1}uv\) in a free product of groups. Zbl 0329.20022
Burns, R. G.; Edmunds, C. C.; Formanek, Edward
2
1977
Conjugate separability in polycyclic groups. Zbl 0345.20031
Formanek, Edward
38
1976
IA-automorphism of certain two-generator torsion-free groups. Zbl 0328.20034
Bachmuth, Seymour; Formanek, Edward; Mochizuki, Horace Y.
16
1976
Automorphism sequences of free nilpotent groups of class two. Zbl 0324.20043
Dyer, Joan L.; Formanek, Edward
9
1976
The group algebra of the infinite symmetric group. Zbl 0334.16013
Formanek, Edward; Lawrence, John
8
1976
Mumford’s conjecture for the general linear group. Zbl 0346.20021
Formanek, Edward; Procesi, Claudio
6
1976
The automorphism group of a free group is complete. Zbl 0313.20021
Dyer, Joan L.; Formanek, Edward
33
1975
Complete automorphism groups. Zbl 0304.20030
Dyer, Joan L.; Formanek, Edward
4
1975
A short proof of the Amitsur-Levitzki theorem. Zbl 0289.16016
Formanek, Edward
2
1975
Subrings of Noetherian rings. Zbl 0267.13009
Formanek, Edward; Jategaonkar, Arun Vinayak
25
1974
Noetherian PI-rings. Zbl 0272.16004
Formanek, Edward
20
1974
Maximal quotient rings of group rings. Zbl 0255.16004
Formanek, Edward
16
1974
A problem of Herstein on group rings. Zbl 0291.16009
Formanek, Edward
6
1974
The type I part of the regular representation. Zbl 0253.43012
Formanek, Edward
1
1974
Group rings of free products are primitive. Zbl 0266.16008
Formanek, Edward
27
1973
The zero divisor question for supersolvable groups. Zbl 0256.16005
Formanek, Edward
14
1973
Primitive group rings. Zbl 0223.16007
Formanek, Edward; Snider, Robert L.
11
1973
Faithful Noetherian modules. Zbl 0248.13018
Formanek, Edward
3
1973
Extending partial right orders on nilpotent groups. Zbl 0266.06007
Formanek, Edward
1
1973
Central polynomials for matrix rings. Zbl 0242.15004
Formanek, Edward
78
1972
Idempotents in Noetherian group rings. Zbl 0224.16013
Formanek, Edward
10
1972
A problem of Passman on semisimplicity. Zbl 0256.16007
Formanek, Edward
9
1972
The conjugation representation and fusionless extensions. Zbl 0206.31402
Formanek, E.
5
1971
The conjugation representation and fusionless extensions. Zbl 0216.07802
Formanek, E.
2
1971
A short proof of a theorem of Jennings. Zbl 0223.20033
Formanek, Edward
2
1970
all top 5

Cited by 634 Authors

40 Drensky, Vesselin
20 Berele, Allan
17 Formanek, Edward W.
15 Giambruno, Antonio
13 Regev, Amitai
12 Domokos, Mátyás
12 Rowen, Louis Halle
9 Kanel’-Belov, Alekseĭ Yakovlevich
9 Plotkin, Boris
9 Zaĭtsev, Mikhail Vladimirovich
8 Le Bruyn, Lieven
8 Roman’kov, Vitaly Anatol’evich
7 Benanti, Francesca
7 Beneish, Esther
7 Koshlukov, Plamen Emilov
7 Passman, Donald Steven
7 Procesi, Claudio
7 Reichstein, Zinovy B.
7 Saltman, David J.
6 Abdulrahim, Mohammad N.
6 Berrick, A. Jon
6 Đoković, Dragomir Ž.
6 Snider, Robert L.
6 Teranishi, Yasuo
6 Van den Bergh, Michel
6 van Wyk, Leon
6 Wong, Peng Choon
5 Abdollahi, Alireza
5 Brown, Kenneth Alexander
5 Kim, Goansu
5 Krasilnikov, Alexei N.
5 Lawton, Sean
5 Mashevitzky, Grigory
5 Rashkova, Tsetska Grigorova
5 Small, Lance W.
5 Szigeti, Jenó
5 Tang, Chi Yu
5 Timoshenko, Evgeniĭ Iosifovich
5 Wehrfritz, Bertram A. F.
5 Wong, Kok Bin
4 Aljadeff, Eli
4 Araújo, João
4 Atabekyan, Varuzhan S.
4 Bridson, Martin R.
4 Dicks, Warren
4 Fel’shtyn, Alexander
4 Fındık, Şehmus
4 Gupta, Chander Kanta
4 Irving, Ronald S.
4 Konieczny, Janusz
4 Lopatin, Artem A.
4 Montgomery, Susan
4 Plotkin, Eugene
4 Rapinchuk, Andrei S.
4 Rowell, Eric C.
4 Schelter, William F.
4 Sehgal, Sudarshan Kumar
4 Sviridova, Irina
4 Tolstykh, Vladimir A.
4 van Oystaeyen, Freddy
4 Yu, Jie-Tai
3 Aladova, Elena V.
3 Amitsur, Shimshon Avraham
3 Armendariz, Efraim P.
3 Aslaksen, Helmer
3 Bell, Jason P.
3 Brandão, Antônio Pereira jun.
3 Brešar, Matej
3 Cantat, Serge
3 Crabb, M. J.
3 Farkas, Daniel R.
3 Fisher, Joe W.
3 Gonçalves Fonseca, Luís Felipe
3 Gonçalves, Dimas José
3 Herstein, Israel Nathan
3 Humphries, Stephen P.
3 Ivanov, Sergei Vladimirovich
3 Jategaonkar, Arun Vinayak
3 Johnson, Kenneth W.
3 Kahrobaei, Delaram
3 Koberda, Thomas
3 Kunyavskiĭ, Boris Èmmanuilovich
3 Lawrence, John C.
3 Malev, Sergey
3 Markov, Viktor T.
3 McGregor, Colin M.
3 Mikhalëv, Aleksandr Vasil’evich
3 Munn, Walter Douglas
3 Nishinaka, Tsunekazu
3 Öinert, Johan
3 Platonov, Vladimir Petrovich
3 Robson, J. Chris
3 Shpilrain, Vladimir
3 Valenti, Angela
3 Vonessen, Nikolaus
3 Yang, Rongwei
3 Zalesski, Alexandre Efimovich
3 Zalesskii, Pavel
3 Zhitomirski, Grigori I.
2 Allenby, R. B. J. T.
...and 534 more Authors
all top 5

Cited in 141 Serials

148 Journal of Algebra
61 Communications in Algebra
42 Israel Journal of Mathematics
29 Proceedings of the American Mathematical Society
28 Journal of Pure and Applied Algebra
27 Transactions of the American Mathematical Society
27 Linear Algebra and its Applications
20 International Journal of Algebra and Computation
14 Advances in Mathematics
13 Archiv der Mathematik
12 Linear and Multilinear Algebra
10 Mathematical Proceedings of the Cambridge Philosophical Society
9 Algebra and Logic
9 Journal of Soviet Mathematics
8 Geometriae Dedicata
8 Mathematische Zeitschrift
8 Journal of Algebra and its Applications
7 Algebras and Representation Theory
6 Rendiconti del Circolo Matemàtico di Palermo. Serie II
6 Siberian Mathematical Journal
6 Advances in Applied Mathematics
6 Groups, Geometry, and Dynamics
5 Bulletin of the Australian Mathematical Society
5 Glasgow Mathematical Journal
5 Nagoya Mathematical Journal
5 Proceedings of the Edinburgh Mathematical Society. Series II
5 Acta Applicandae Mathematicae
5 Journal of Mathematical Sciences (New York)
5 Journal of Group Theory
4 Semigroup Forum
3 Discrete Mathematics
3 Compositio Mathematica
3 Duke Mathematical Journal
3 Inventiones Mathematicae
3 Manuscripta Mathematica
3 Mathematische Annalen
3 Forum Mathematicum
3 Expositiones Mathematicae
3 Annals of Mathematics. Second Series
3 Algebraic & Geometric Topology
3 Groups, Complexity, Cryptology
2 Mathematical Notes
2 Rocky Mountain Journal of Mathematics
2 Annales de l’Institut Fourier
2 Annali di Matematica Pura ed Applicata. Serie Quarta
2 Bulletin de la Société Mathématique de France
2 Journal of Combinatorial Theory. Series A
2 Journal für die Reine und Angewandte Mathematik
2 Rendiconti del Seminario Matemàtico e Fisico di Milano
2 Theoretical Computer Science
2 Topology and its Applications
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
2 Journal of the Australian Mathematical Society
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Bulletin of the American Mathematical Society
2 Journal of Topology
2 International Journal of Group Theory
2 ISRN Algebra
1 Acta Mathematica Academiae Scientiarum Hungaricae
1 Communications in Mathematical Physics
1 Journal of Mathematical Physics
1 Physics Letters. A
1 Arkiv för Matematik
1 Acta Mathematica
1 Algebra Universalis
1 Boletim da Sociedade Brasileira de Matemática
1 Commentarii Mathematici Helvetici
1 Czechoslovak Mathematical Journal
1 Demonstratio Mathematica
1 Illinois Journal of Mathematics
1 Publications Mathématiques
1 Journal of Functional Analysis
1 Journal of Number Theory
1 The Journal of Symbolic Logic
1 Kodai Mathematical Journal
1 Memoirs of the American Mathematical Society
1 Michigan Mathematical Journal
1 Monatshefte für Mathematik
1 Publications of the Research Institute for Mathematical Sciences, Kyoto University
1 Results in Mathematics
1 European Journal of Combinatorics
1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII
1 Note di Matematica
1 Annals of Pure and Applied Logic
1 Bulletin of the Iranian Mathematical Society
1 Journal of Symbolic Computation
1 Discrete & Computational Geometry
1 \(K\)-Theory
1 Revista Matemática Iberoamericana
1 Journal of the American Mathematical Society
1 Multidimensional Systems and Signal Processing
1 MSCS. Mathematical Structures in Computer Science
1 Geometric and Functional Analysis. GAFA
1 Bulletin of the American Mathematical Society. New Series
1 Journal of Knot Theory and its Ramifications
1 Vestnik St. Petersburg University. Mathematics
1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
1 Russian Mathematics
1 Computational Complexity
1 Experimental Mathematics
...and 41 more Serials
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Cited in 39 Fields

383 Associative rings and algebras (16-XX)
322 Group theory and generalizations (20-XX)
115 Linear and multilinear algebra; matrix theory (15-XX)
65 Algebraic geometry (14-XX)
55 Commutative algebra (13-XX)
51 Combinatorics (05-XX)
46 Nonassociative rings and algebras (17-XX)
37 Manifolds and cell complexes (57-XX)
22 General algebraic systems (08-XX)
17 Field theory and polynomials (12-XX)
15 Number theory (11-XX)
14 Topological groups, Lie groups (22-XX)
12 Algebraic topology (55-XX)
11 Dynamical systems and ergodic theory (37-XX)
11 Computer science (68-XX)
9 Functional analysis (46-XX)
8 Mathematical logic and foundations (03-XX)
8 Several complex variables and analytic spaces (32-XX)
7 Category theory; homological algebra (18-XX)
7 Abstract harmonic analysis (43-XX)
5 \(K\)-theory (19-XX)
3 General and overarching topics; collections (00-XX)
3 Operator theory (47-XX)
3 Differential geometry (53-XX)
3 Quantum theory (81-XX)
2 History and biography (01-XX)
2 Functions of a complex variable (30-XX)
2 Convex and discrete geometry (52-XX)
2 Global analysis, analysis on manifolds (58-XX)
2 Numerical analysis (65-XX)
2 Systems theory; control (93-XX)
2 Information and communication theory, circuits (94-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Ordinary differential equations (34-XX)
1 Partial differential equations (35-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Geometry (51-XX)
1 General topology (54-XX)
1 Probability theory and stochastic processes (60-XX)

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