Geodesic
A Note on Subnormal Subgroups of Division Algebras
Canadian journal of mathematics, Tome 30 (1978) no. 1, pp. 161-163

Voir la notice de l'article provenant de la source Cambridge University Press

Let D be a division algebra and let D* denote the multiplicative group of nonzero elements of D. In [3] Herstein and Scott asked whether any subnormal subgroup of D* must be normal in D*. Our purpose here is to show that division algebras over certain p-local fields do not satisfy such a “subnormal property”. 
Greenfield, Gary R. A Note on Subnormal Subgroups of Division Algebras. Canadian journal of mathematics, Tome 30 (1978) no. 1, pp. 161-163. doi: 10.4153/CJM-1978-014-9
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[1] 1. Artin, E., Geometric algebra (Interscience Publishers Inc., New York, 1957). Google Scholar

[2] 2. Herstein, I. N., Conjugates in division rings, Proc. Amer. Math. Soc. 2 (1956), 1021–1022. Google Scholar

[3] 3. Herstein, I. N. and Scott, W. R., Subnormal subgroups of division rings, Can. J. Math. 15 (1963), 80–83. Google Scholar

[4] 4. Riehm, C., The norm 1 group of p-adic division algebra, Amer. J. Math. 92 (1970), 499–523. Google Scholar

[5] 5. Steenrod, N. E., The topology of fibre bundles (Princeton University Press, Princeton, 1951). Google Scholar

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