Finite Bruck loops

Aschbacher, Michael and Kinyon, Michael K. and Phillips, J. D. (2006) Finite Bruck loops. Transactions of the American Mathematical Society, 358 (7). pp. 3061-3075. ISSN 0002-9947 http://resolver.caltech.edu/CaltechAUTHORS:20110209-094820472

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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.

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Article

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.

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Funding Agency	Grant Number
NSF	0203417

Classification Code:

2000 Mathematics Subject Classification: Primary 20N05

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CaltechAUTHORS:20110209-094820472

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http://resolver.caltech.edu/CaltechAUTHORS:20110209-094820472

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ID Code:

22090

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CaltechAUTHORS

Deposited By:

Tony Diaz

Deposited On:

10 Mar 2011 23:42

Last Modified:

26 Dec 2012 12:54

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