Format:
1 online resource (xiii, 323 pages)
ISBN:
9780521675062
,
9781139194006
Series Statement:
London Mathematical Society lecture note series 449
Content:
Permutation groups, their fundamental theory and applications are discussed in this introductory book. It focuses on those groups that are most useful for studying symmetric structures such as graphs, codes and designs. Modern treatments of the O'Nan-Scott theory are presented not only for primitive permutation groups but also for the larger families of quasiprimitive and innately transitive groups, including several classes of infinite permutation groups. Their precision is sharpened by the introduction of a cartesian decomposition concept. This facilitates reduction arguments for primitive groups analogous to those, using orbits and partitions, that reduce problems about general permutation groups to primitive groups. The results are particularly powerful for finite groups, where the finite simple group classification is invoked. Applications are given in algebra and combinatorics to group actions that preserve cartesian product structures. Students and researchers with an interest in mathematical symmetry will find the book enjoyable and useful.
Note:
Title from publisher's bibliographic system (viewed on 20 Jun 2018)
Additional Edition:
ISBN 9780521675062
Additional Edition:
ISBN 9780521675062
Additional Edition:
Praeger, Cheryl E., 1948 - Permutation groups and Cartesian decompositions Cambridge, United Kingdom : Cambridge University Press, 2018 ISBN 9781108620239
Additional Edition:
ISBN 9780521675062
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9780521675062
Language:
English
Subjects:
Mathematics
Keywords:
Permutationsgruppe
;
Zerlegung
DOI:
10.1017/9781139194006
Bookmarklink
