TY - JOUR UR - http://lib.ugent.be/catalog/pug01:955128 ID - pug01:955128 LA - eng TI - A course on Moufang sets PY - 2009 JO - (2009) Innovations in Incidence Geometry SN - 1781-6475 PB - Academia Press 2009 AU - De Medts, Tom WE01 801001465464 0000-0002-9504-5353 AU - Segev, Yoav AB - A Moufang set is essentially a doubly transitive permutation group such that the point stabilizer contains a normal subgroup which is regular on the remaining points. These regular normal subgroups are called the root groups and they are assumed to be conjugate and to generate the whole group.Moufang sets play an significant role in the theory of buildings, they provide a tool to study linear algebraic groups of relative rank one, and they have (surprising) connections with other algebraic structures.In these course notes we try to present the current approach to Moufang sets. We include examples, connections with related areas of mathematics and some proofs where we think it is instructive and within the scope of these notes. ER -Download RIS file
00000nam^a2200301^i^4500 | |||
001 | 955128 | ||
005 | 20161219154247.0 | ||
008 | 100527s2009------------------------eng-- | ||
022 | a 1781-6475 | ||
024 | a 1854/LU-955128 2 handle | ||
040 | a UGent | ||
245 | a A course on Moufang sets | ||
260 | b Academia Press c 2009 | ||
520 | a A Moufang set is essentially a doubly transitive permutation group such that the point stabilizer contains a normal subgroup which is regular on the remaining points. These regular normal subgroups are called the root groups and they are assumed to be conjugate and to generate the whole group.Moufang sets play an significant role in the theory of buildings, they provide a tool to study linear algebraic groups of relative rank one, and they have (surprising) connections with other algebraic structures.In these course notes we try to present the current approach to Moufang sets. We include examples, connections with related areas of mathematics and some proofs where we think it is instructive and within the scope of these notes. | ||
598 | a A2 | ||
100 | a De Medts, Tom u WE01 0 801001465464 0 0000-0002-9504-5353 | ||
700 | a Segev, Yoav | ||
650 | a Mathematics and Statistics | ||
653 | a algebraic groups | ||
653 | a Jordan algebras | ||
653 | a rank one groups | ||
653 | a Moufang sets | ||
653 | a BN-pairs | ||
773 | t Innovations in Incidence Geometry g Innov. Incidence Geom. 2009. Academia Press. 9 p.79-122 q 9:<79 | ||
856 | 3 Full Text u https://biblio.ugent.be/publication/955128/file/955157 z [ugent] y A_course_on_Moufang_sets.pdf | ||
920 | a article | ||
852 | x WE b WE01 | ||
922 | a UGENT-WE |
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