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Ellers, Erich Werner

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Author ID: ellers.erich-w Recent zbMATH articles by "Ellers, Erich Werner"
Published as: Ellers, Erich W.; Ellers, E. W.; Ellers, E.; Ellers, Erich
Homepage: http://www.math.toronto.edu/ellers/
External Links: MGP · Math-Net.Ru · ResearchGate
Documents Indexed: 87 Publications since 1961, including 2 Books
Reviewing Activity: 631 Reviews

Publications by Year

Citations contained in zbMATH Open

63 Publications have been cited 411 times in 237 Documents Cited by Year
On the conjectures of J. Thompson and O. Ore. Zbl 0910.20007
Ellers, Erich W.; Gordeev, Nikolai
49
1998
Kennzeichnung elliptischer Gruppenräume. Zbl 0109.39101
Ellers, E.; Karzel, H.
32
1963
Decomposition of orthogonal, symplectic, and unitary isometries into simple isometries. Zbl 0367.50002
Ellers, Erich W.
28
1977
Endliche Inzidenzgruppen. Zbl 0123.37901
Ellers, Erich; Karzel, Helmut
24
1964
Covering numbers for Chevalley groups. Zbl 0941.20050
Ellers, Erich W.; Gordeev, Nikolai; Herzog, Marcel
19
1999
Gauss decomposition with prescribed semisimple part in classical Chevalley groups. Zbl 0821.20028
Ellers, Erich W.; Gordeev, Nikolaj
17
1994
Involutorische Geometrien. Zbl 0100.15801
Ellers, Erich; Karzel, Helmut
17
1961
Intersection of conjugacy classes with Bruhat cells in Chevalley groups. Zbl 1062.20050
Ellers, Erich W.; Gordeev, Nikolai
15
2004
Gauss decomposition with prescribed semisimple part in Chevalley groups. II: Exceptional cases. Zbl 0838.20054
Ellers, Erich W.; Gordeev, Nikolaj
15
1995
Decomposition of equiaffinities into reflections. Zbl 0373.50004
Ellers, Erich W.
14
1977
Gauss decomposition with prescribed semisimple part in Chevalley groups. III: Finite twisted groups. Zbl 0887.20022
Ellers, Erich W.; Gordeev, Nikolai
13
1996
Bireflectionality of orthogonal and symplectic groups. Zbl 0491.51019
Ellers, Erich W.; Nolte, Wolfgang
12
1982
Gauss decomposition with prescribed semisimple part: short proof. Zbl 0964.20024
Chernousov, Vladimir; Ellers, Erich W.; Gordeev, Nikolai
12
2000
Factorization of transformations over a local ring. Zbl 0609.15008
Ellers, Erich W.; Ishibashi, Hiroyuki
10
1987
Products of two involutory matrices over skewfields. Zbl 0405.15010
Ellers, Erich W.
9
1979
Bireflectionality in classical groups. Zbl 0371.15009
Ellers, Erich W.
9
1977
Relations in classical groups. Zbl 0373.20044
Ellers, Erich W.
7
1978
Length theorems for the general linear group of a module over a local ring. Zbl 0702.20031
Ellers, Erich W.; Lausch, Huberta
6
1989
Generators for classical groups of modules over local rings. Zbl 0716.20027
Ellers, Erich W.; Lausch, Huberta
6
1990
Products of quasireflections and transvections over local rings. Zbl 0639.20031
Ellers, Erich W.; Frank, Rolfdieter
6
1988
Intersection of conjugacy classes with Bruhat cells in Chevalley groups: the cases \(\text{SL}_n(K)\), \(\text{GL}_n(K)\). Zbl 1128.20034
Ellers, Erich W.; Gordeev, Nikolai
6
2007
Classical groups. Zbl 0744.20029
Ellers, Erich W.
5
1991
Products of \(\lambda\)-transvections in Sp(2n,q). Zbl 0718.20022
Ellers, Erich W.; Malzan, Jerry
5
1991
Products of positive transvections in the real symplectic group. Zbl 0726.20032
Ellers, Erich W.; Malzan, Jerry
5
1991
The length problem for the equiaffine group of a Pappian geometry. Zbl 0328.50010
Ellers, Erich W.
5
1976
Factorization of affinities. Zbl 0406.51018
Ellers, Erich W.
4
1979
Bireflectionality of the weak orthogonal and the weak symplectic groups. Zbl 0533.20020
Ellers, E. W.; Frank, R.; Nolte, W.
4
1984
Products of transvections in one conjugacy class in the symplectic group over \(\text{GF}(3)\). Zbl 0809.20035
Ellers, Erich W.
4
1994
Intersection of conjugacy classes of Chevalley groups with Gauss cells. Zbl 0942.20030
Ellers, Erich W.; Gordeev, Nikolai
3
1999
The length of a unitary transformation. Zbl 0324.20054
Ellers, Erich W.
3
1976
Bireflectionality of the orthogonal group over a valuation domain. Zbl 0779.20028
Ellers, Erich W.; Ishibashi, Hiroyuki
3
1992
The reflection length of a transformation in the unitary group over a finite field. Zbl 0789.20049
Ellers, Erich W.
3
1993
Radical relations in unitary, symplectic, and orthogonal groups. Zbl 0399.51008
Ellers, Erich W.
3
1979
Products of involutions in simple Chevalley groups. Zbl 0982.20030
Ellers, Erich W.
3
2000
Products of half-turns. Zbl 0587.20025
Ellers, Erich W.
3
1986
The length of a unitary transformation for characteristic 2. Zbl 0324.20055
Ellers, Erich W.
2
1976
A generalization of Sourour’s theorem. Zbl 0937.15007
Ellers, Erich W.; Gordeev, Nikolai
2
1999
Involutory incidence spaces. Zbl 0235.50017
Ellers, Erich; Karzel, Helmut
2
1971
Cyclic decomposition of unitary spaces. Zbl 0539.51008
Ellers, Erich W.
2
1983
Generation of the symplectic group by involutions. Zbl 1458.51012
Ellers, Erich W.; Villa, Oliver
1
2020
Generators and relations for classical groups. Zbl 0434.51026
Ellers, E. W.
1
1980
Relations in the projective general linear group and in the affine subgroup. Zbl 0492.20026
Ellers, Erich W.
1
1982
Products of involutions in the finite Chevalley groups of type \(F_4(K)\). Zbl 1018.20043
Austin, Peter C.; Ellers, Erich W.
1
2002
Conjugacy classes of involutions in the Lorentz group \(\Omega(V)\) and in \(\text{SO}(V)\). Zbl 1057.15013
Ellers, Erich W.
1
2004
Hermitian presentations of Chevalley groups. I. Zbl 1075.20014
De Oliveira, Marcelo P.; Ellers, Erich W.
1
2004
Automorphisms of split Cayley algebras over real closed fields. Zbl 0692.17011
Ellers, Erich W.; Lausch, Huberta
1
1989
Products of reflections in the kernel of the spinorial norm. Zbl 0714.20015
Ellers, Erich W.; Malzan, J.
1
1990
Half turns in characteristic 2. Zbl 1331.20067
Ellers, Erich W.; Villa, Oliver
1
2015
Products of reflections in GL(n,\({\mathbb{H}})\). Zbl 0623.15005
Ellers, Erich W.; Malzan, Jerry
1
1987
Koprodukte von Bewegungsgruppen. Zbl 0185.48201
Ellers, E.
1
1969
Siegel transformations for even characteristic. Zbl 1098.20039
Ellers, Erich W.; Villa, Oliver
1
2005
Hyperfree extensions. Zbl 0241.50004
Ellers, Erich; Row, Don
1
1972
Hermitian presentations of Chevalley groups. II. Zbl 1107.20033
De Oliveira, Marcelo P.; Ellers, Erich W.
1
2006
Products of transvections in one conjugacy class of the symplectic group over the \(p\)-adic numbers. Zbl 0985.15011
Ellers, Erich W.; Lausch, Huberta
1
2001
Kommutative Inzidenzgruppen vom Exponenten n. Zbl 0161.17402
Ellers, E.
1
1967
Products of axial affinities and products of central collineations. Zbl 0517.51003
Ellers, Erich W.
1
1982
Projective collineations as products of homologies, elations, and projective reflections. Zbl 0522.51001
Ellers, Erich W.
1
1982
The Minkowski group. Zbl 0539.51007
Ellers, Erich W.
1
1984
The Coxeter legacy. Reflections and projections. Zbl 1084.00007
Davis, Chandler (ed.); Ellers, Erich W. (ed.)
1
2006
Zur Geschichte der Erzeugung von Bewegungsgruppen. Zbl 0278.01014
Ellers, Erich W.; Patton, Ralph L.
1
1973
Generators of the unitary group of characteristic 2. Zbl 0311.20033
Ellers, Erich W.
1
1975
Commutators of symmetries in characteristic 2. Zbl 1210.15012
Ellers, Erich W.; Villa, Oliver
1
2011
Big and small elements in Chevalley groups. Zbl 1306.20049
Gordeev, N. L.; Ellers, E. W.
1
2012
Generation of the symplectic group by involutions. Zbl 1458.51012
Ellers, Erich W.; Villa, Oliver
1
2020
Half turns in characteristic 2. Zbl 1331.20067
Ellers, Erich W.; Villa, Oliver
1
2015
Big and small elements in Chevalley groups. Zbl 1306.20049
Gordeev, N. L.; Ellers, E. W.
1
2012
Commutators of symmetries in characteristic 2. Zbl 1210.15012
Ellers, Erich W.; Villa, Oliver
1
2011
Intersection of conjugacy classes with Bruhat cells in Chevalley groups: the cases \(\text{SL}_n(K)\), \(\text{GL}_n(K)\). Zbl 1128.20034
Ellers, Erich W.; Gordeev, Nikolai
6
2007
Hermitian presentations of Chevalley groups. II. Zbl 1107.20033
De Oliveira, Marcelo P.; Ellers, Erich W.
1
2006
The Coxeter legacy. Reflections and projections. Zbl 1084.00007
Davis, Chandler; Ellers, Erich W.
1
2006
Siegel transformations for even characteristic. Zbl 1098.20039
Ellers, Erich W.; Villa, Oliver
1
2005
Intersection of conjugacy classes with Bruhat cells in Chevalley groups. Zbl 1062.20050
Ellers, Erich W.; Gordeev, Nikolai
15
2004
Conjugacy classes of involutions in the Lorentz group \(\Omega(V)\) and in \(\text{SO}(V)\). Zbl 1057.15013
Ellers, Erich W.
1
2004
Hermitian presentations of Chevalley groups. I. Zbl 1075.20014
De Oliveira, Marcelo P.; Ellers, Erich W.
1
2004
Products of involutions in the finite Chevalley groups of type \(F_4(K)\). Zbl 1018.20043
Austin, Peter C.; Ellers, Erich W.
1
2002
Products of transvections in one conjugacy class of the symplectic group over the \(p\)-adic numbers. Zbl 0985.15011
Ellers, Erich W.; Lausch, Huberta
1
2001
Gauss decomposition with prescribed semisimple part: short proof. Zbl 0964.20024
Chernousov, Vladimir; Ellers, Erich W.; Gordeev, Nikolai
12
2000
Products of involutions in simple Chevalley groups. Zbl 0982.20030
Ellers, Erich W.
3
2000
Covering numbers for Chevalley groups. Zbl 0941.20050
Ellers, Erich W.; Gordeev, Nikolai; Herzog, Marcel
19
1999
Intersection of conjugacy classes of Chevalley groups with Gauss cells. Zbl 0942.20030
Ellers, Erich W.; Gordeev, Nikolai
3
1999
A generalization of Sourour’s theorem. Zbl 0937.15007
Ellers, Erich W.; Gordeev, Nikolai
2
1999
On the conjectures of J. Thompson and O. Ore. Zbl 0910.20007
Ellers, Erich W.; Gordeev, Nikolai
49
1998
Gauss decomposition with prescribed semisimple part in Chevalley groups. III: Finite twisted groups. Zbl 0887.20022
Ellers, Erich W.; Gordeev, Nikolai
13
1996
Gauss decomposition with prescribed semisimple part in Chevalley groups. II: Exceptional cases. Zbl 0838.20054
Ellers, Erich W.; Gordeev, Nikolaj
15
1995
Gauss decomposition with prescribed semisimple part in classical Chevalley groups. Zbl 0821.20028
Ellers, Erich W.; Gordeev, Nikolaj
17
1994
Products of transvections in one conjugacy class in the symplectic group over \(\text{GF}(3)\). Zbl 0809.20035
Ellers, Erich W.
4
1994
The reflection length of a transformation in the unitary group over a finite field. Zbl 0789.20049
Ellers, Erich W.
3
1993
Bireflectionality of the orthogonal group over a valuation domain. Zbl 0779.20028
Ellers, Erich W.; Ishibashi, Hiroyuki
3
1992
Classical groups. Zbl 0744.20029
Ellers, Erich W.
5
1991
Products of \(\lambda\)-transvections in Sp(2n,q). Zbl 0718.20022
Ellers, Erich W.; Malzan, Jerry
5
1991
Products of positive transvections in the real symplectic group. Zbl 0726.20032
Ellers, Erich W.; Malzan, Jerry
5
1991
Generators for classical groups of modules over local rings. Zbl 0716.20027
Ellers, Erich W.; Lausch, Huberta
6
1990
Products of reflections in the kernel of the spinorial norm. Zbl 0714.20015
Ellers, Erich W.; Malzan, J.
1
1990
Length theorems for the general linear group of a module over a local ring. Zbl 0702.20031
Ellers, Erich W.; Lausch, Huberta
6
1989
Automorphisms of split Cayley algebras over real closed fields. Zbl 0692.17011
Ellers, Erich W.; Lausch, Huberta
1
1989
Products of quasireflections and transvections over local rings. Zbl 0639.20031
Ellers, Erich W.; Frank, Rolfdieter
6
1988
Factorization of transformations over a local ring. Zbl 0609.15008
Ellers, Erich W.; Ishibashi, Hiroyuki
10
1987
Products of reflections in GL(n,\({\mathbb{H}})\). Zbl 0623.15005
Ellers, Erich W.; Malzan, Jerry
1
1987
Products of half-turns. Zbl 0587.20025
Ellers, Erich W.
3
1986
Bireflectionality of the weak orthogonal and the weak symplectic groups. Zbl 0533.20020
Ellers, E. W.; Frank, R.; Nolte, W.
4
1984
The Minkowski group. Zbl 0539.51007
Ellers, Erich W.
1
1984
Cyclic decomposition of unitary spaces. Zbl 0539.51008
Ellers, Erich W.
2
1983
Bireflectionality of orthogonal and symplectic groups. Zbl 0491.51019
Ellers, Erich W.; Nolte, Wolfgang
12
1982
Relations in the projective general linear group and in the affine subgroup. Zbl 0492.20026
Ellers, Erich W.
1
1982
Products of axial affinities and products of central collineations. Zbl 0517.51003
Ellers, Erich W.
1
1982
Projective collineations as products of homologies, elations, and projective reflections. Zbl 0522.51001
Ellers, Erich W.
1
1982
Generators and relations for classical groups. Zbl 0434.51026
Ellers, E. W.
1
1980
Products of two involutory matrices over skewfields. Zbl 0405.15010
Ellers, Erich W.
9
1979
Factorization of affinities. Zbl 0406.51018
Ellers, Erich W.
4
1979
Radical relations in unitary, symplectic, and orthogonal groups. Zbl 0399.51008
Ellers, Erich W.
3
1979
Relations in classical groups. Zbl 0373.20044
Ellers, Erich W.
7
1978
Decomposition of orthogonal, symplectic, and unitary isometries into simple isometries. Zbl 0367.50002
Ellers, Erich W.
28
1977
Decomposition of equiaffinities into reflections. Zbl 0373.50004
Ellers, Erich W.
14
1977
Bireflectionality in classical groups. Zbl 0371.15009
Ellers, Erich W.
9
1977
The length problem for the equiaffine group of a Pappian geometry. Zbl 0328.50010
Ellers, Erich W.
5
1976
The length of a unitary transformation. Zbl 0324.20054
Ellers, Erich W.
3
1976
The length of a unitary transformation for characteristic 2. Zbl 0324.20055
Ellers, Erich W.
2
1976
Generators of the unitary group of characteristic 2. Zbl 0311.20033
Ellers, Erich W.
1
1975
Zur Geschichte der Erzeugung von Bewegungsgruppen. Zbl 0278.01014
Ellers, Erich W.; Patton, Ralph L.
1
1973
Hyperfree extensions. Zbl 0241.50004
Ellers, Erich; Row, Don
1
1972
Involutory incidence spaces. Zbl 0235.50017
Ellers, Erich; Karzel, Helmut
2
1971
Koprodukte von Bewegungsgruppen. Zbl 0185.48201
Ellers, E.
1
1969
Kommutative Inzidenzgruppen vom Exponenten n. Zbl 0161.17402
Ellers, E.
1
1967
Endliche Inzidenzgruppen. Zbl 0123.37901
Ellers, Erich; Karzel, Helmut
24
1964
Kennzeichnung elliptischer Gruppenräume. Zbl 0109.39101
Ellers, E.; Karzel, H.
32
1963
Involutorische Geometrien. Zbl 0100.15801
Ellers, Erich; Karzel, Helmut
17
1961
all top 5

Cited by 168 Authors

51 Ellers, Erich Werner
23 Gordeev, Nikolai L.
13 Karzel, Helmut Jürgen
13 Shalev, Aner
9 Wähling, Heinz
8 Ishibashi, Hiroyuki
8 Kunyavskiĭ, Boris Èmmanuilovich
8 Nolte, Wolfgang
8 Vavilov, Nikolaĭ Aleksandrovich
6 Knüppel, Frieder
5 Larsen, Michael Jeffrey
5 Liebeck, Martin Walter
5 Malzan, Jerry G.
5 Plotkin, Eugene
5 Tiep Pham Huu
4 Guralnick, Robert Michael
4 Nielsen, Klaus
4 Pieper-Seier, Irene
4 Saxl, Jan
4 Stepanov, Alexeĭ Vladimirovich
4 Villa, Oliver
3 Egorchenkova, E. A.
3 Grunewald, Fritz J.
3 Hazrat, Roozbeh
3 Hou, Xin
3 Lüneburg, Heinz
3 O’Brien, Eamonn A.
3 Pevzner, Igor’ M.
3 Schröder, Eberhard M.
3 Słowik, Roksana
3 Timm, Jürgen
3 Zhang, Zuhong
2 Bhunia, Sushil
2 Connes, Alain
2 Dancs, Susan Claire
2 De Oliveira, Marcelo P.
2 Đoković, Dragomir Ž.
2 Fajziev, Valerij A.
2 Frank, Rolfdieter
2 Garion, Shelly
2 Gismatullin, Jakub
2 Gongopadhyay, Krishnendu
2 Kanel’-Belov, Alekseĭ Yakovlevich
2 Kroll, Hans-Joachim
2 Lausch, Huberta
2 Moran, Gadi
2 Morita, Jun
2 O’Farrell, Anthony G.
2 Pianta, Silvia
2 Pokropp, Fritz
2 Rehmann, Ulf
2 Smolensky, Andrei
1 Amarra, Carmen
1 Austin, Peter C.
1 Awa, Dominic
1 Bandman, Tatiana M.
1 Bauer, Friedrich Ludwig
1 Borovik, Alexandre V.
1 Bose, Anirban
1 Bünger, Florian
1 Burness, Timothy C.
1 Caalim, Jonathan V.
1 Carnovale, Giovanna
1 Cencelj, Matija
1 Chan, Kei Yuen
1 Chen, Huanyin
1 Chen, Sheng
1 Chernousov, Vladimir I.
1 Chillag, David
1 Consani, Caterina
1 Cruickshank, James
1 Dancs Groves, Susan
1 Dela Rosa, Kennett L.
1 Djagba, Prudence
1 Eda, Katsuya
1 Gal, Światosław R.
1 Galt, Alexey Albertovich
1 Garonzi, Martino
1 Giudici, Michael
1 Gnutov, F. A.
1 Gunther, Georg
1 Havlicek, Hans
1 Herzog, Marcel
1 Hotje, Herbert
1 Hui, Chun Yin
1 Hyttinen, Tapani
1 Ignatenko, V. F.
1 John de la Cruz, Ralph
1 Kaplan, Gil
1 Kappe, Luise-Charlotte
1 Karhumäki, Ulla
1 Kassabov, Martin
1 Khukhro, Evgeniĭ I.
1 Kist, Günter Peter
1 Kolesnikov, Sergeĭ G.
1 Kurtz, Cornelius
1 Lávička, Roman
1 Leinen, Felix
1 Lev, Arieh
1 Levy, Dan
...and 68 more Authors
all top 5

Cited in 59 Serials

35 Linear Algebra and its Applications
25 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
23 Journal of Algebra
18 Journal of Geometry
12 Journal of Mathematical Sciences (New York)
11 Communications in Algebra
10 Archiv der Mathematik
8 Israel Journal of Mathematics
7 Geometriae Dedicata
6 Linear and Multilinear Algebra
5 Results in Mathematics
4 Journal of Pure and Applied Algebra
4 Mathematische Zeitschrift
4 International Journal of Algebra and Computation
4 St. Petersburg Mathematical Journal
3 Inventiones Mathematicae
3 Journal of Soviet Mathematics
2 Bulletin of the Australian Mathematical Society
2 Proceedings of the American Mathematical Society
2 Rendiconti del Seminario Matematico della Università di Padova
2 Siberian Mathematical Journal
2 Transactions of the American Mathematical Society
2 Journal of the American Mathematical Society
2 Annals of Mathematics. Second Series
2 Journal of the European Mathematical Society (JEMS)
2 Journal of the Australian Mathematical Society
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Russian Mathematical Surveys
1 The Mathematical Intelligencer
1 Beiträge zur Algebra und Geometrie
1 Annales de l’Institut Fourier
1 Czechoslovak Mathematical Journal
1 Journal of Combinatorial Theory. Series A
1 Journal of Number Theory
1 The Journal of Symbolic Logic
1 Manuscripta Mathematica
1 Mathematische Annalen
1 Acta Applicandae Mathematicae
1 Annals of Pure and Applied Logic
1 Designs, Codes and Cryptography
1 Aequationes Mathematicae
1 Vestnik St. Petersburg University. Mathematics
1 Journal of Algebraic Combinatorics
1 Journal de Théorie des Nombres de Bordeaux
1 Combinatorics, Probability and Computing
1 Advances in Applied Clifford Algebras
1 The Bulletin of Symbolic Logic
1 European Mathematical Society Newsletter
1 Transformation Groups
1 Representation Theory
1 Journal of Group Theory
1 Central European Journal of Mathematics
1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
1 Groups, Geometry, and Dynamics
1 Asian-European Journal of Mathematics
1 Journal of Topology and Analysis
1 Forum of Mathematics, Sigma
1 Transactions of the American Mathematical Society. Series B

Citations by Year