Grunenfelder, Luzius Clifford \(k\)-algebras and \(k^*\)-groups. (English) Zbl 0528.20035 Math. Z. 185, 137-150 (1984). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page MSC: 20J05 Homological methods in group theory 16H05 Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.) 15A66 Clifford algebras, spinors 20H25 Other matrix groups over rings 16W50 Graded rings and modules (associative rings and algebras) 11E16 General binary quadratic forms Keywords:diagonalizations of free nonsingular quadratic module; elementary Abelian 2-subgroups of orthogonal group; homogeneous units of Clifford algebra; graded Azumaya algebra; central extensions PDFBibTeX XMLCite \textit{L. Grunenfelder}, Math. Z. 185, 137--150 (1984; Zbl 0528.20035) Full Text: DOI EuDML References: [1] Baer, R.: Erweiterungen von Gruppen und ihre Isomorphismen. Math. Z.38, 375-416 (1934) · Zbl 0009.01101 · doi:10.1007/BF01170643 [2] Bass, H.: Lectures on topics in algebraicK-theory. Tata Inst. Fund. Res.Lectures in Math.41, Bombay: Tata Inst. Fund. Res. 1967 · Zbl 0226.13006 [3] Childs, L.N., Garfinkel, G., Orzech, M.: The Brauer Group of graded Azumaya Algebras. Trans. Amer. Math. Soc.175, 299-326 (1973) · Zbl 0265.13002 · doi:10.1090/S0002-9947-1973-0349652-3 [4] Janusz, G.J.: Separable Algebras over commutative Rings. Trans. Amer. Math. Soc.122, 461-479 (1966) · Zbl 0141.03402 · doi:10.1090/S0002-9947-1966-0210699-5 [5] McDonald, P.R., Hershberger, B.: The orthogonal group over a full Ring. J. Algebra51, 536-549 (1978) · Zbl 0377.15009 · doi:10.1016/0021-8693(78)90120-5 [6] Warfield, R.: Nilpotent groups. Lecture Notes in Math.513. Berlin-Heidelberg-New York: Springer 1976 · Zbl 0347.20018 [7] Serre, JP: A Course in Arithmetic. Graduate Texts in Mathematics7. New York-Heidelberg-Berlin: Springer 1973 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.