Bøger af Brian Mortimer

Permutation Groups form one of the oldest parts of group theory. Through the ubiquity of group actions and the concrete representations which they afford, both finite and infinite permutation groups arise in many parts of mathematics and continue to be a lively topic of research in their own right. The book begins with the basic ideas, standard constructions and important examples in the theory of permutation groups.It then develops the combinatorial and group theoretic structure of primitive groups leading to the proof of the pivotal O'Nan-Scott Theorem which links finite primitive groups with finite simple groups. Special topics covered include the Mathieu groups, multiply transitive groups, and recent work on the subgroups of the infinite symmetric groups. This text can serve as an introduction to permutation groups in a course at the graduate or advanced undergraduate level, or for self- study. It includes many exercises and detailed references to the current literature.

Set in Ireland, both north and south of the border, Retribution is a nail biting tale of gun running, romance, murder and revenge.It tells the story of Daniel QuinnÕs return to Ireland after he learns of his brotherÕs entrapment by a suspected para-military organisation. DanielÕs subsequent attempts to free his brother and his involvement with an Irish girl build up to a thrilling climax. A murder then results in DanielÕs setting out on a trail of revenge.Author Brian Mortimer was born in Leeds and schooled in Doncaster.He joined the army serving for eight years, before being demobbed in 1960.After the army he then entered the Civil Service, serving as an Electronic Technician for thirty-two years, retiring finally in 1992.BrianÕs many holidays in Ireland gave him the story line for this book.Ê

Following the basic ideas, standard constructions and important examples in the theory of permutation groups, the book goes on to develop the combinatorial and group theoretic structure of primitive groups leading to the proof of the pivotal ONan-Scott Theorem which links finite primitive groups with finite simple groups.