๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Wreath products of finitary permutation groups

โœ Scribed by V. V. Belyaev


Book ID
120832626
Publisher
SP MAIK Nauka/Interperiodica
Year
2012
Tongue
English
Weight
348 KB
Volume
279
Category
Article
ISSN
0081-5438

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


Generalized Wreath Products of Permutati
โœ Bailey, R. A.; Praeger, C. E.; Rowley, C. A.; Speed, T. P. ๐Ÿ“‚ Article ๐Ÿ“… 1983 ๐Ÿ› Oxford University Press ๐ŸŒ English โš– 304 KB
Arities of Permutation Groups: Wreath Pr
โœ Gregory L. Cherlin; Gary A. Martin; Daniel H. Saracino ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 1023 KB

We introduce an invariant of finite permutation groups called the arity which is well known to model theorists but has not been examined from an algebraic point of view. There are few cases in which this invariant is known explicitly. We analyze the behavior of this invariant in power representation

Groups of finitary permutations
โœ James Wiegold ๐Ÿ“‚ Article ๐Ÿ“… 1974 ๐Ÿ› Springer ๐ŸŒ English โš– 177 KB
Finitary Representations and Images of T
โœ Felix Leinen; Orazio Puglisi ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 190 KB

We characterize the point stabilizers and kernels of finitary permutation representations of infinite transitive groups of finitary permutations. Moreover, the number of such representations is determined.