On the factorisation of finite abelian groups
โ Scribed by Arthur D. Sands
- Publisher
- Akadmiai Kiad
- Year
- 1957
- Tongue
- English
- Weight
- 960 KB
- Volume
- 8
- Category
- Article
- ISSN
- 1588-2632
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We present some general results on factorisations of almost simple groups. These results are consequences of the classification of all maximal factorisations of ลฝ . almost simple groups due to Liebeck, Saxl, and the second author , and are needed for applications to the theory of quasiprimitive perm
In this paper the following theorem is proved. Let G be a finite Abelian group of order n. Then, n+D(G )&1 is the least integer m with the property that for any sequence of m elements a 1 , ..., a m in G, 0 can be written in the form 0= a 1 + } } } +a in with 1 i 1 < } } } <i n m, where D(G) is the