The Projective Character Tables of a Solvable Group 26:6×2
Author
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-11-27
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
The Chevalley–Dickson simple group G24 of Lie type G2 over the Galois field GF4 and of order 251596800=212.33.52.7.13 has a class of maximal subgroups of the form 24+6:A5×3, where 24+6 is a special 2-group with center Z24+6=24.
Since 24 is normal in 24+6:A5×3, the group 24+6:A5×3 can be constructed as a nonsplit extension group of the form G¯=24·26:A5×3.
Two inertia factor groups, H1=26:A5×3 and H2=26:6×2, are obtained if G¯ acts on 24.
In this paper, the author presents a method to compute all projective character tables of H2.
These tables become very useful if one wants to construct the ordinary character table of G¯ by means of Fischer–Clifford theory.
The method presented here is very effective to compute the irreducible projective character tables of a finite soluble group of manageable size.
American Psychological Association (APA)
Prins, Abraham Love. 2019. The Projective Character Tables of a Solvable Group 26:6×2. International Journal of Mathematics and Mathematical Sciences،Vol. 2019, no. 2019, pp.1-15.
https://search.emarefa.net/detail/BIM-1166425
Modern Language Association (MLA)
Prins, Abraham Love. The Projective Character Tables of a Solvable Group 26:6×2. International Journal of Mathematics and Mathematical Sciences No. 2019 (2019), pp.1-15.
https://search.emarefa.net/detail/BIM-1166425
American Medical Association (AMA)
Prins, Abraham Love. The Projective Character Tables of a Solvable Group 26:6×2. International Journal of Mathematics and Mathematical Sciences. 2019. Vol. 2019, no. 2019, pp.1-15.
https://search.emarefa.net/detail/BIM-1166425
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1166425