Journal article

Publication year: 2022

Pages: 7831-7852

Journal: Transactions of the American Mathematical Society

Volume number: 375

Issue number: 11

ISSN: 0002-9947

eISSN: 1088-6850

Open access status: Bronze

DOI Link: https://doi.org/10.1090/tran/8712

Publisher: American Mathematical Society

Abstract: 
. The theory of Moufang sets essentially deals with groups having a split BN-pair of rank one. Every quadratic Jordan division algebra gives rise to a Moufang set such that its root groups are abelian and a certain condition called special is satisfied. It is a major open question if also the converse is true, i.e. if every special Moufang set with abelian root groups comes from a 360 (2008), pp. 5831-5852] proved in Theorem 5.11 that this is the case for special Moufang set satisfying two conditions. In this paper we prove that these conditions are in fact equivalent and hence either of them suffices. Even more, we can replace them by weaker conditions.

Harvard Citation style: Grueninger, M. (2022) SPECIAL MOUFANG SETS COMING FROM QUADRATIC JORDAN DIVISION ALGEBRAS, Transactions of the American Mathematical Society, 375(11), pp. 7831-7852. https://doi.org/10.1090/tran/8712

APA Citation style: Grueninger, M. (2022). SPECIAL MOUFANG SETS COMING FROM QUADRATIC JORDAN DIVISION ALGEBRAS. Transactions of the American Mathematical Society. 375(11), 7831-7852. https://doi.org/10.1090/tran/8712