Permutation Groups

Graduate Texts in Mathematics #163

by John D. Dixon, Brian Mortimer

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. Special topics covered include the Mathieu groups, multiply transitive groups, and recent work on the subgroups of the infinite symmetric groups. With its many exercises and detailed references to the current literature, this text can serve as an introduction to permutation groups in a course at the graduate or advanced undergraduate level, as well as for self-study.

360 pages, Hardcover

First published April 11, 1996

Reviews

[Chris · Rating 3 out of 5]

I'm told all the goodies are in here, but there's no good story in this encyclopedic and frustratingly error-filled reference.

[Liquidlasagna · Rating 4 out of 5]

if they correct the errors, you got one of the more interesting 1990s books on one step beyond Modern Algebra