An algebraic structure for Moufang quadrangles / Tom de Medts.

Format:

Book

Author/Creator:

Medts, Tom de, 1980- author.

Series:

Memoirs of the American Mathematical Society ; no. 818.

Memoirs of the American Mathematical Society, 0065-9266 ; number 818

Language:

English

Subjects (All):

Finite generalized quadrangles.

Finite geometries.

Rings (Algebra).

Physical Description:

1 online resource (114 p.)

Edition:

1st ed.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, [2005]

Language Note:

English

Summary:

Features an article that intends to present a uniform algebraic structure for Moufang quadrangles, and to classify these structures without referring back to the original Moufang quadrangles from which they arise, thereby also giving a new proof for the classification of Moufang quadrangles, which does consist of the division into these 2 parts.

Contents:

""Contents""; ""Chapter 1. Introduction""; ""Acknowledgment""; ""Chapter 2. Definition""; ""Chapter 3. Some Identities""; ""Chapter 4. From Quadrangular Systems To Moufang Quadrangles""; ""Chapter 5. From Moufang Quadrangles To Quadrangular Systems""; ""Chapter 6. Some Remarks""; ""Chapter 7. Examples""; ""7.1. Quadrangular Systems of Quadratic Form Type""; ""7.2. Quadrangular Systems of Involutory Type""; ""7.3. Quadrangular Systems of Indifferent Type""; ""7.4. Quadrangular Systems of Pseudo- quadratic Form Type""; ""7.5. Quadrangular Systems of Type E[sub(6)], E[sub(7)] and E[sub(8)]""

""7.6. Quadrangular Systems of Type F[sub(4)]""""Chapter 8. The Classification""; ""8.1. Quadrangular Systems of Involutory Type""; ""8.2. Quadrangular Systems of Quadratic Form Type""; ""8.3. Quadrangular Systems of Indifferent Type""; ""8.4. Quadrangular Systems of Pseudo-quadratic Form Type, I""; ""8.5. Quadrangular Systems of Type F[sub(4)]""; ""8.6. Quadrangular Systems of Pseudo-quadratic Form Type, II""; ""8.7. Quadrangular Systems of Type E[sub(6)], E[sub(7)] and E[sub(8)]""; ""Appendix A. Abelian Quadrangular Systems""; ""A.1. Reduced Quadrangular Systems""

""A.2. Indifferent Quadrangular Systems""""A.3. Radical Quadrangular Systems""; ""Bibliography""

Notes:

"Volume 173, number 818 (third of 5 numbers)."

Includes bibliographical references (page 99).

Description based on print version record.

ISBN:

1-4704-0419-2