Factorisations of characteristically simple groups
โ Scribed by Cheryl E. Praeger; Csaba Schneider
- Book ID
- 104140365
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 202 KB
- Volume
- 255
- Category
- Article
- ISSN
- 0021-8693
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โฆ Synopsis
We solve some factorisation problems for finite characteristically simple groups, using factorisations of elementary abelian 2-groups. The problems arose from a study of permutation groups. We found the connection between the factorisations of these two types of groups surprisingly interesting.
๐ SIMILAR VOLUMES
Throughout this note, G will be a finite group, IrrรฐGร will be the set of irreducible characters of G, cdรฐGร will be the set of character degrees of G, and rรฐGร will be the set of primes that divide degrees in cdรฐGร. The prime vertex degree graph of G, written DรฐGร, is the graph with rรฐGร as its ver
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