β Scribed by Meenaxi Bhattacharjee, RΓΆgnvaldur G. MΓΆller, Dugald Macpherson, Peter M. Neumann (auth.)
No coin nor oath required. For personal study only.
Front Matter....Pages i-xi
Some Group Theory....Pages 1-8
Groups acting on Sets....Pages 9-18
Transitivity....Pages 19-30
Primitivity....Pages 31-38
Suborbits and Orbitals....Pages 39-48
More about Symmetric Groups....Pages 49-56
Linear Groups....Pages 57-66
Wreath Products....Pages 67-76
Rational Numbers....Pages 77-86
Jordan Groups....Pages 87-97
Examples of Jordan Groups....Pages 99-113
Relations related to betweenness....Pages 115-129
Classification Theorems....Pages 131-142
Homogeneous Structures....Pages 143-158
The Hrushovski Construction....Pages 159-170
Applications and Open Questions....Pages 171-180
Back Matter....Pages 181-202
Mathematics, general
π SIMILAR VOLUMES
<p>The subjects of ordered groups and of infinite permutation groups have long enΒ joyed a symbiotic relationship. Although the two subjects come from very different sources, they have in certain ways come together, and each has derived considerable benefit from the other. My own personal contact wi
Permutation groups are one of the oldest topics in algebra. Their study has recently been revolutionized by new developments, particularly the Classification of Finite Simple Groups, but also relations with logic and combinatorics, and importantly, computer algebra systems have been introduced that