ON FINITE GROUPS ACTING ON POLYGONAL GRAPHS..
Title | ON FINITE GROUPS ACTING ON POLYGONAL GRAPHS.. PDF eBook |
Author | MANLEY PERKEL |
Publisher | |
Pages | 145 |
Release | 1977 |
Genre | |
ISBN |
The Geometry of Polygons of Groups and Related Spaces
Title | The Geometry of Polygons of Groups and Related Spaces PDF eBook |
Author | Paul Robert Brown |
Publisher | |
Pages | 502 |
Release | 1997 |
Genre | |
ISBN |
Fourier Analysis on Finite Groups and Applications
Title | Fourier Analysis on Finite Groups and Applications PDF eBook |
Author | Audrey Terras |
Publisher | Cambridge University Press |
Pages | 456 |
Release | 1999-03-28 |
Genre | Mathematics |
ISBN | 9780521457187 |
It examines the theory of finite groups in a manner that is both accessible to the beginner and suitable for graduate research.
Canadian Journal of Mathematics
Title | Canadian Journal of Mathematics PDF eBook |
Author | |
Publisher | |
Pages | 238 |
Release | 1979-12 |
Genre | |
ISBN |
Finite Groups and Finite Geometries
Title | Finite Groups and Finite Geometries PDF eBook |
Author | T. Tsuzuku |
Publisher | Cambridge University Press |
Pages | 344 |
Release | 1982-01-21 |
Genre | Mathematics |
ISBN | 0521222427 |
A 1982 introduction to developments which had taken place in finite group theory related to finite geometries.
Generalized Polygons
Title | Generalized Polygons PDF eBook |
Author | Hendrik Van Maldeghem |
Publisher | Springer Science & Business Media |
Pages | 511 |
Release | 2012-01-03 |
Genre | Mathematics |
ISBN | 3034802714 |
Generalized Polygons is the first book to cover, in a coherent manner, the theory of polygons from scratch. In particular, it fills elementary gaps in the literature and gives an up-to-date account of current research in this area, including most proofs, which are often unified and streamlined in comparison to the versions generally known. Generalized Polygons will be welcomed both by the student seeking an introduction to the subject as well as the researcher who will value the work as a reference. In particular, it will be of great value for specialists working in the field of generalized polygons (which are, incidentally, the rank 2 Tits-buildings) or in fields directly related to Tits-buildings, incidence geometry and finite geometry. The approach taken in the book is of geometric nature, but algebraic results are included and proven (in a geometric way!). A noteworthy feature is that the book unifies and generalizes notions, definitions and results that exist for quadrangles, hexagons, octagons - in the literature very often considered separately - to polygons. Many alternative viewpoints given in the book heighten the sense of beauty of the subject and help to provide further insight into the matter.
Applying the Classification of Finite Simple Groups
Title | Applying the Classification of Finite Simple Groups PDF eBook |
Author | Stephen D. Smith |
Publisher | American Mathematical Soc. |
Pages | 248 |
Release | 2018-04-30 |
Genre | Mathematics |
ISBN | 1470442914 |
Classification of Finite Simple Groups (CFSG) is a major project involving work by hundreds of researchers. The work was largely completed by about 1983, although final publication of the “quasithin” part was delayed until 2004. Since the 1980s, CFSG has had a huge influence on work in finite group theory and in many adjacent fields of mathematics. This book attempts to survey and sample a number of such topics from the very large and increasingly active research area of applications of CFSG. The book is based on the author's lectures at the September 2015 Venice Summer School on Finite Groups. With about 50 exercises from original lectures, it can serve as a second-year graduate course for students who have had first-year graduate algebra. It may be of particular interest to students looking for a dissertation topic around group theory. It can also be useful as an introduction and basic reference; in addition, it indicates fuller citations to the appropriate literature for readers who wish to go on to more detailed sources.