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Inversion invariant
additive subgroups of division rings
Daniel Goldstein, Robert M. Guralnick, Lance Small and Efim Zelmanov |
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Vol. 227 (2006), No. 2, 287–294
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Abstract |
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We characterize the inversion invariant additive subgroups of any field, and, more generally, those of a division ring (apart from division rings of characteristic 2). We also show how a classical identity of Hua provides a bridge between this problem and Jordan algebras. |
Keywords
Jordan algebra, Clifford algebra, Jordan triple system
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Mathematical Subject Classification 2000
Primary: 17C10, 17A35, 12E99
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Milestones
Received: 13 January 2005
Accepted: 19 January 2005
Published: 1 October 2006
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Authors |
| Daniel Goldstein | |
| Center for Communications
Research San Diego, CA 92121-1969 United States |
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| Robert M. Guralnick | |
| Department of Mathematics University of Southern California 3620 S. Vermont Ave. Los Angeles, CA 90089-2532 United States |
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| Lance Small | |
| Department of Mathematics University of California San Diego La Jolla, CA 92093-0112 United States |
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| Efim Zelmanov | |
| Department of Mathematics University of California San Diego La Jolla, CA 92093-0112 United States |
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