๐”– Bobbio Scriptorium
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A characteristically simple group

โœ Scribed by McLain, D. H.; Hall, P.

Book ID
120321754
Publisher
Cambridge University Press
Year
1954
Tongue
English
Weight
527 KB
Volume
50
Category
Article
ISSN
0305-0041

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๐Ÿ“œ SIMILAR VOLUMES

Factorisations of characteristically sim
Factorisations of characteristically simple groups
โœ Cheryl E. Praeger; Csaba Schneider ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 202 KB

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.

Character degree graphs of automorphism
Character degree graphs of automorphism groups of characteristically simple groups
โœ Lewis, Mark L.; McVey, John K. ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Walter de Gruyter GmbH & Co. KG ๐ŸŒ English โš– 100 KB

Throughout this note, G will be a finite group, IrrรฐGรž will be the set of irreducible characters of G, cdรฐGรž will be the set of character degrees of G, and rรฐGรž will be the set of primes that divide degrees in cdรฐGรž. The prime vertex degree graph of G, written DรฐGรž, is the graph with rรฐGรž as its ver