Low Rank Representations and Graphs for Sporadic Groups

✍ Scribed by Cheryl E. Praeger, Leonard H. Soicher

Publisher: Cambridge University Press
Year: 1997
Tongue: English
Leaves: 153
Series: Australian Mathematical Society Lecture Series
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

This book addresses certain ways of representing sporadic simple groups and the graphs associated with these representations. It provides descriptions of all permutation representations of rank up to five of the sporadic groups and gives an introduction to practical computational techniques required for studying finite vertex-transitive graphs. The authors offer sufficient information about most of the groups to enable readers to reconstruct and study these representations themselves. Elementary techniques for analysis of finite vertex-transitive graphs are carefully explained, making this book not only an essential reference for experts, but also an excellent starting point for graduate students and researchers in this area.

📜 SIMILAR VOLUMES

Low rank representations and graphs for

📁 Low rank representations and graphs for sporadic groups

✍ Cheryl E. Praeger, Leonard H. Soicher 📂 Library 📅 1997 🏛 Cambridge University Press 🌐 English

Automorphic Representations of Low Rank

📁 Automorphic Representations of Low Rank Groups

✍ Yuval Z. Flicker 📂 Library 📅 2006 🌐 English

The area of automorphic representations is a natural continuation of studies in number theory and modular forms. A guiding principle is a reciprocity law relating the infinite dimensional automorphic representations with finite dimensional Galois representations. Simple relations on the Galois side

Automorphic Representations of Low Rank

📁 Automorphic Representations of Low Rank Groups

✍ Yuval Z. Flicker 📂 Library 📅 2006 🏛 World Scientific 🌐 English

Geometry of sporadic groups II: Represen

📁 Geometry of sporadic groups II: Representations and amalgams

✍ Ivanov A.A., Shpectorov S.V. 📂 Library 📅 2002 🏛 CUP 🌐 English

This second volume in a two-volume set provides a complete self-contained proof of the classification of geometries associated with sporadic simple groups: Petersen and tilde geometries. It contains a study of the representations of the geometries under consideration in GF(2)-vector spaces as well a

Sporadic groups

📁 Sporadic groups

✍ Aschbacher M. 📂 Library 📅 1994 🏛 CUP 🌐 English

Sporadic Groups provides for the first time a self-contained treatment of the foundations of the theory of sporadic groups accessible to mathematicians with a basic background in finite groups, such as in the author's text Finite Group Theory. Introductory material useful for studying the sporadics,

Sporadic Groups

📁 Sporadic Groups

✍ Michael Aschbacher 📂 Library 📅 1994 🏛 Cambridge University Press 🌐 English

Sporadic groups is the first step in a program to provide a uniform, self-contained treatment of the foundational material on the sporadic finite simple groups. The classification of the finite simple groups is one of the premier achievements of modern mathematics. The classification demonstrates th