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On the conjugacy classes in the unitary, symplectic and orthogonal groups. (English) Zbl 0122.28102


MSC:

20Gxx Linear algebraic groups and related topics
17A35 Nonassociative division algebras
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References:

[1] Ennola, On the conjugacy classes of the finite unitary groups 313 (1962) · Zbl 0105.02403
[2] Trott, On the canonical form of a non-singular pencil of Hermitian matrices 56 pp 359– (1934) · Zbl 0009.24202
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[15] Williamson, On the algebraic problem concerning the normal forms of linear dynamical systems 58 pp 141– (1936) · JFM 63.1290.01
[16] Williamson, The equivalence of non-singular pencils of Hermitian matrices in an arbitraty field 57 pp 475– (1935) · JFM 61.0073.01
[17] Wall, The structure of a unitary factor group 1 (1959) · Zbl 0087.02202
[18] Vekatachalienger, Pairs of symmetric and skew matrices in an arbitrary field 1 22 pp 243– (1945)
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[20] Zassenhaus, On a normal form of the orthogonal transformation 1 pp 31– (1958) · Zbl 0087.01401
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