1996
DOI: 10.1007/978-3-662-03235-0_2
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Finite-Dimensional Division Algebras

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Cited by 15 publications
(14 citation statements)
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“…Parts (1) and (3) of Theorem 2 are found in a little different context in Faddeev [3] and Platonov Yanchevskii [6]. But they considered Br(K(x)) by mod Br(K), and stated the results corresponding to (1) and (3) in an analogous way as in the case of global fields.…”
Section: (T)mentioning
confidence: 89%
“…Parts (1) and (3) of Theorem 2 are found in a little different context in Faddeev [3] and Platonov Yanchevskii [6]. But they considered Br(K(x)) by mod Br(K), and stated the results corresponding to (1) and (3) in an analogous way as in the case of global fields.…”
Section: (T)mentioning
confidence: 89%
“…Thus in these two cases the group SK 1 (A, τ ) defined in (1) is simplified to Σ τ /Σ τ . In fact, in these settings, the reduced unitary Whitehead group is defined from the outset as SK 1 (A, τ ) = Σ τ /Σ τ (see [14], [11,Chapter 4,3.4], [8,17.B] and [5]) and so justify our definition in (1).…”
Section: R Hazratmentioning
confidence: 99%
“…This group has been studied extensively when A is a division algebra, or a graded division algebra (which is an Azumaya algebra) in literature (see [10,11] and [4]). …”
mentioning
confidence: 99%
“…The following conjecture: the exponent of A is equal to its index for any division algebra A over a C 2 -field F (see for example [PY,3.4.5. ]) has the positive answer for F = F 0 ((t 1 ))((t 2 )).…”
Section: A Zheglovmentioning
confidence: 99%