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Ellers, Erich W.

Relations in classical groups. (English) Zbl 0373.20044

J. Algebra 51, 19-24 (1978).
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Cited in 8 Documents

MSC:

20G15 Linear algebraic groups over arbitrary fields
20F05 Generators, relations, and presentations of groups
15A63 Quadratic and bilinear forms, inner products
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References:

[1] Ahrens, J.; Dress, A.; Wolff, H., Relationen zwischen Symmetrien in orthogonalen Gruppen, J. Reine Angew. Math., 234, 1-11 (1969) · Zbl 0218.15009
[2] Becken, S., Spiegelungsrelationen in orthogonalen Gruppen, J. Reine Angew. Math., 210, 205-215 (1962) · Zbl 0105.01201
[3] Becken, S. Böge née, Definierende Relationen zwischen Erzeugenden der klassischen Gruppen, Abh. Math. Sem. Univ. Hamburg, 30, 165-178 (1967) · Zbl 0149.27303
[4] Dieudonné, J., La géométrie des groupes classiques (1955), Springer: Springer Berlin/Göttingen/Heidelberg · Zbl 0067.26104
[5] Ellers, E. W., Generators of the unitary groups of characteristic 2, J. Reine Angew. Math., 276, 95-98 (1975) · Zbl 0311.20033
[6] Ellers, E. W., The length of a unitary transformation, J. Reine Angew. Math., 281, 1-5 (1976) · Zbl 0324.20054
[7] Ellers, E. W., The length of a unitary transformation for characteristic 2, J. Reine Angew. Math., 281, 6-12 (1976) · Zbl 0324.20055
[8] Ellers, E. W., Decomposition of orthogonal, symplectic, and unitary isometries into simple isometries, Abh. Math. Sem. Univ. Hamburg, 46, 99-129 (1977) · Zbl 0367.50002
[9] Götzky, M., Unverkürzbare Produkte und Relationen in unitären Gruppen, Math. Z., 104, 1-15 (1968) · Zbl 0157.36003
[10] Meyer, K., Transvektionsrelationen in metrischen Vektorräumen der Charakteristik 2, J. Reine Angew. Math., 233, 189-199 (1968) · Zbl 0185.06402
[11] Nolte, W., Spiegelungsrelationen in den engeren orthogonalen Gruppen, J. Reine Angew. Math., 273, 150-152 (1975) · Zbl 0302.20041
[12] O’Meara, O. T., Group-theoretic characterization of transvections using CDC, Math. Z., 110, 385-394 (1969) · Zbl 0186.04303
[13] O’Meara, O. T., Lectures on Linear Groups, (CBMS Regional Conference Series in Mathematics, 22 (1974)) · Zbl 0292.20001
[14] Spengler, U., Relationen zwischen symplektischen Transvektionen, J. Reine Angew. Math., 274/275, 141-149 (1975) · Zbl 0312.50011
[15] Nolte, W., Das Relationenproblem für eine Klasse von Untergruppen orthogonaler Gruppen, J. Reine Angew. Math., 292, 211-220 (1977) · Zbl 0348.20033
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