Bøger af Ronald Solomon

This book completes a trilogy (Numbers 5, 7, and 8) of the series The Classification of the Finite Simple Groups treating the generic case of the classification of the finite simple groups. In conjunction with Numbers 4 and 6, it allows us to reach the completion of the proof of Theorem O.

The classification of finite simple groups is a landmark result of modern mathematics. This volume is part of a series of monographs being published by the AMS that represent the culmination of a century-long project. Part seven of the series, this is the middle volume of a trilogy treating the Generic Case.

Provides an outline and modern overview of the classification of the finite simple groups. It primarily covers the 'even case', where the main groups arising are Lie-type (matrix) groups over a field of characteristic 2. The book thus completes a project begun by Daniel Gorenstein's 1983 book, which outlined the classification of groups of 'noncharacteristic 2 type'.

The classification of finite simple groups is a landmark result of modern mathematics. This work presents critical aspects of the classification. It begins with the proof of a major theorem from the classification grid, namely Theorem $\mathcal{C}_7$. It is suitable for graduate students and researchers interested in group theory.

Takes a novel approach to the standard introductory material on groups, rings, and fields. This title offers a semi-historical journey through the early decades of the subject as it emerged in the revolutionary work of Euler, Lagrange, Gauss, and Galois. It focuses on the central problem of studying the solutions of polynomial equations.