Linear Groups and Computation

Linear Groups and Computation offers a comprehensive account of practical computation with finitely generated linear groups over infinite fields. Methodologies are developed to solve fundamental algorithmic problems, covering major classes of linear groups. Readers are introduced to a library of procedures designed for the computational recognition and structural investigation of these groups. The book will appeal to researchers in algebra, its applications, and all areas of mathematics where linear groups are prominent. It is accessible to a broad audience, ranging from graduate students with basic algebraic prerequisites to experienced researchers. Features:Self-contained and uniquely focused text, including all necessary background materialResource for advanced lecture courses and seminars, with exercises accompanying the chaptersNumerous examples demonstrating the application of algorithms via computer experimentationInsights into emerging directions for future research.