𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Exactm-covers of Groups by Cosets

✍ Scribed by Zhi-Wei Sun

Book ID
102570038
Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
207 KB
Volume
22
Category
Article
ISSN
0195-6698

No coin nor oath required. For personal study only.

✦ Synopsis

Let G be a group covered by its left cosets a 1 G 1 , . . . , a k G k exactly m times. It is known that

When all the G i are subnormal in G and k i=1 G i = H , we are able to determine the least value of k in terms of m, G, H . For

r is the standard factorization of n. These extend some previous results on disjoint covers.

πŸ“œ SIMILAR VOLUMES

Rings determined by cyclic covers of gro
Rings determined by cyclic covers of groups
✍ Cannon, G. Alan; Maxson, C.J.; Neuerburg, Kent M. πŸ“‚ Article πŸ“… 2013 πŸ› Elsevier Science 🌐 English βš– 225 KB
Double Coset Decompositions of Groups
Double Coset Decompositions of Groups
✍ Graham A. Niblo πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 65 KB

We show that residually finite or word hyperbolic groups which can be decomposed as a finite union of double cosets of a cyclic subgroup are necessarily virtually cyclic, and we apply this result to the study of Frobenius permutation groups. We show that in general, finite double coset decomposition