Result: A NEW CHARACTERIZATION OF ALMOST SPORADIC GROUPS: A new characterization of almost sporadic groups.
Title:
A NEW CHARACTERIZATION OF ALMOST SPORADIC GROUPS: A new characterization of almost sporadic groups.
Authors:
Source:
Journal of Algebra and Its Applications. :267-279
Publisher Information:
World Scientific Pub Co Pte Lt, 2002.
Publication Year:
2002
Subject Terms:
almost sporadic simple groups, order components, prime graphs, finite simple groups, automorphism groups, Finite simple groups and their classification, Simple groups: alternating groups and groups of Lie type, 0101 mathematics, 01 natural sciences, Arithmetic and combinatorial problems involving abstract finite groups, Simple groups: sporadic groups, Graphs and abstract algebra (groups, rings, fields, etc.)
Document Type:
Academic journal
Article
File Description:
application/xml
Language:
English
ISSN:
1793-6829
0219-4988
0219-4988
DOI:
10.1142/s021949880200015x
Access URL:
Accession Number:
edsair.doi.dedup.....c1d9f690547b847e71beb25fdf00872c
Database:
OpenAIRE
Further Information
Let G be a finite group. Based on the prime graph of G, the order of G can be divided into a product of coprime positive integers. These integers are called order components of G and the set of order components is denoted by OC(G). Some non-abelian simple groups are known to be uniquely determined by their order components. In this paper we prove that almost sporadic simple groups, except Aut (J2) and Aut (McL), and the automorphism group of PSL(2, 2n) where n=2sare also uniquely determined by their order components. Also we discuss about the characterizability of Aut (PSL(2, q)). As corollaries of these results, we generalize a conjecture of J. G. Thompson and another conjecture of W. Shi and J. Bi for the groups under consideration.