REGULAR SUBGROUPS OF PRIMITIVE PERMUTATION GROUPS by Martin W. Liebeck, Cheryl E. Praeger, Jan Saxl ( 9780821846544 )

Item Details

Title:

REGULAR SUBGROUPS OF PRIMITIVE PERMUTATION GROUPS

By:

Martin W. Liebeck, Cheryl E. Praeger, Jan Saxl

Format:

Paperback

List price:	£64.00
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ISBN 10:

082184654X

ISBN 13:

9780821846544

Publisher:

AMERICAN MATHEMATICAL SOCIETY

Pub. date:

1 January, 2010

Series:

Memoirs of the American Mathematical Society 203, No. 952

Pages:

Description:

Addresses the classical problem of determining finite primitive permutation groups G with a regular subgroup B.

Synopsis:

The authors address the classical problem of determining finite primitive permutation groups G with a regular subgroup B. The main theorem solves the problem completely under the assumption that G is almost simple. While there are many examples of regular subgroups of small degrees, the list is rather short (just four infinite families) if the degree is assumed to be large enough, for example at least 30!. Another result determines all primitive groups having a regular subgroup which is almost simple. This has an application to the theory of Cayley graphs of simple groups.

Publication:

Imprint:

American Mathematical Society

Returns:

Returnable

Some other items by this author:

A GENERATING FUNCTION APPROACH TO THE ENUMERATION OF MATRICES IN CLASSICAL GROUPS OVER FINITE FIELDS (PB)

ALGEBRAIC GROUPS AND THEIR REPRESENTATIONS (PB)

AUTOMORPHISM ORBITS AND ELEMENT ORDERS IN FINITE GROUPS: ALMOST-SOLUBILITY AND THE MONSTER

CHERLIN''S CONJECTURE FOR FINITE PRIMITIVE BINARY PERMUTATION GROUPS

CONJUGACY IN FINITE CLASSICAL GROUPS (HB)

GROUPS, COMBINATORICS AND GEOMETRY