Tits Polygons.

Format:

Book

Author/Creator:

Mühlherr, Bernhard.

Contributor:

Weiss, Richard M.

Series:

Memoirs of the American Mathematical Society

Memoirs of the American Mathematical Society ; v.275

Language:

English

Subjects (All):

Moufang loops.

Jordan algebras.

Buildings (Group theory).

Graph theory.

Polygons.

Physical Description:

1 online resource (132 pages)

Edition:

1st ed.

Place of Publication:

Providence : American Mathematical Society, 2022.

Summary:

"We introduce the notion of a Tits polygon, a generalization of the notion of a Moufang polygon, and show that Tits polygons arise in a natural way from certain configurations of parabolic subgroups in an arbitrary spherical buildings satisfying the Moufang condition. We establish numerous basic properties of Tits polygons and characterize a large class of Tits hexagons in terms of Jordan algebras. We apply this classification to give a "rank 2" presentation for the group of F-rational points of an arbitrary exceptional simple group of F-rank at least 4 and to determine defining relations for the group of F-rational points of an an arbitrary group of Frank 1 and absolute type D4, E6, E7 or E8 associated to the unique vertex of the Dynkin diagram that is not orthogonal to the highest root. All of these results are over a field of arbitrary characteristic"-- Provided by publisher.

Contents:

Tits polygons

Tits hexagons

Groups of relative rank 1

Appendix / by Holger P. Petersson.

Notes:

Description based on publisher supplied metadata and other sources.

"January 2022, volume 275, number 1352 (sixth of 6 numbers)."

Includes bibliographical references and index.

Other Format:

Print version: Mühlherr, Bernhard Tits Polygons

ISBN:

9781470470180

1470470187

OCLC:

1292081387