Published July 2006
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Journal Article
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Finite Bruck loops
Chicago
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Abstract
Bruck loops are Bol loops satisfying the automorphic inverse property. We prove a structure theorem for finite Bruck loops X, showing that X is essentially the direct product of a Bruck loop of odd order with a 2-element Bruck loop. The former class of loops is well understood. We identify the minimal obstructions to the conjecture that all finite 2-element Bruck loops are 2-loops, leaving open the question of whether such obstructions actually exist.
Additional Information
© 2005 American Mathematical Society. Received by the editors December 15, 2003 and, in revised form, June 29, 2004. Article electronically published on September 22, 2005. The first author was partially supported by NSF-0203417.Attached Files
Published - ASCtams06.pdf
Submitted - 0401193.pdf
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Additional details
- Eprint ID
- 22090
- Resolver ID
- CaltechAUTHORS:20110209-094820472
- NSF
- DMS-0203417
- Created
-
2011-03-10Created from EPrint's datestamp field
- Updated
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2021-11-09Created from EPrint's last_modified field