Group ring groups : Vol. 2 (Structure theorems of unit groups)
Jespers, Eric
Group ring groups : Vol. 2 (Structure theorems of unit groups) - 1st Indian ed. - Berlin: Walter de Gruyter GmbH, 2025. - x, 217p. : ill (.col). ; 24cm
This two-volume graduate textbook gives a comprehensive, state-of-the-art account of describing large subgroups of the unit group of the integral group ring of a finite group and, more generally, of the unit group of an order in a finite dimensional semisimple rational algebra. Since the book is addressed to graduate students as well as young researchers, all required background on these diverse areas, both old and new, is included. Supporting problems illustrate the results and complete some of the proofs.
Volume 1 contains all the details on describing generic constructions of units and the subgroup they generate.
Volume 2 mainly is about structure theorems and geometric methods. Without being encyclopaedic, all main results and techniques used to achieve these results are included.
Basic courses in group theory, ring theory and field theory are assumed as background.
*Elementary techniques are introduced to built up an intuition for the topic
*Gives an overview and structure to a vibrant field of mathematics
Author information:
Eric Jespers, Vrije Universiteit Brussel, Belgium;
Ángel del Río Mateos, Universidad de Murcia, España.
9783110411492 9783111700700 (pbk.) € 29.95 = Mathematics
Mathematics
Algebra
Rings
Ring groups
512.4 / JES
Group ring groups : Vol. 2 (Structure theorems of unit groups) - 1st Indian ed. - Berlin: Walter de Gruyter GmbH, 2025. - x, 217p. : ill (.col). ; 24cm
This two-volume graduate textbook gives a comprehensive, state-of-the-art account of describing large subgroups of the unit group of the integral group ring of a finite group and, more generally, of the unit group of an order in a finite dimensional semisimple rational algebra. Since the book is addressed to graduate students as well as young researchers, all required background on these diverse areas, both old and new, is included. Supporting problems illustrate the results and complete some of the proofs.
Volume 1 contains all the details on describing generic constructions of units and the subgroup they generate.
Volume 2 mainly is about structure theorems and geometric methods. Without being encyclopaedic, all main results and techniques used to achieve these results are included.
Basic courses in group theory, ring theory and field theory are assumed as background.
*Elementary techniques are introduced to built up an intuition for the topic
*Gives an overview and structure to a vibrant field of mathematics
Author information:
Eric Jespers, Vrije Universiteit Brussel, Belgium;
Ángel del Río Mateos, Universidad de Murcia, España.
9783110411492 9783111700700 (pbk.) € 29.95 = Mathematics
Mathematics
Algebra
Rings
Ring groups
512.4 / JES
