scholarly journals The 2- and 3-modular characters of the sporadic simple Fischer group Fi22 and its cover

2007 ◽  
Vol 309 (2) ◽  
pp. 723-743 ◽  
Author(s):  
Felix Noeske
Keyword(s):  
Fischer Group

The Fischer-Clifford Matrices and Character Table of a Maximal Subgroup of Fi24

2010 ◽  
Vol 17 (03) ◽  
pp. 389-414 ◽  
Author(s):  
Faryad Ali ◽  
Jamshid Moori
Keyword(s):  
Automorphism Group ◽  
Conjugacy Class ◽  
Maximal Subgroup ◽  
Computer Algebra ◽  
Character Table ◽  
Computer Algebra Systems ◽  
Split Extension ◽  
Sporadic Group ◽  
Local Subgroup ◽  
Fischer Group

The Fischer group [Formula: see text] is the largest 3-transposition sporadic group of order 2510411418381323442585600 = 222.316.52.73.11.13.17.23.29. It is generated by a conjugacy class of 306936 transpositions. Wilson [15] completely determined all the maximal 3-local subgroups of Fi24. In the present paper, we determine the Fischer-Clifford matrices and hence compute the character table of the non-split extension 37· (O7(3):2), which is a maximal 3-local subgroup of the automorphism group Fi24 of index 125168046080 using the technique of Fischer-Clifford matrices. Most of the calculations are carried out using the computer algebra systems GAP and MAGMA.

scholarly journals A description of the Fischer group F22

1977 ◽  
Vol 46 (2) ◽  
pp. 334-343 ◽  
Author(s):  
Gerard M Enright
Keyword(s):  
Fischer Group

The Computation of the 3-Modular Characters of the Fischer Group Fi23*

2018 ◽  
Vol 28 (2) ◽  
pp. 185-193
Author(s):  
Lukas Görgen ◽  
Gerhard Hiss ◽  
Klaus Lux
Keyword(s):  
Fischer Group

scholarly journals Structure of the maximal -local geometry point-line collinearity graph

2016 ◽  
Vol 19 (1) ◽  
pp. 105-154 ◽  
Author(s):  
Peter Rowley ◽  
Ben Wright
Keyword(s):  
Adjacency Matrix ◽  
Local Geometry ◽  
Arbitrary Vertex ◽  
Fischer Group ◽  
Point Line

The point-line collinearity graph ${\mathcal{G}}$ of the maximal 2-local geometry for the largest simple Fischer group, $Fi_{24}^{\prime }$, is extensively analysed. For an arbitrary vertex $a$ of ${\mathcal{G}}$, the $i\text{th}$-disc of $a$ is described in detail. As a consequence, it follows that ${\mathcal{G}}$ has diameter $5$. The collapsed adjacency matrix of ${\mathcal{G}}$ is given as well as accompanying computer files which contain a wealth of data about ${\mathcal{G}}$.Supplementary materials are available with this article.

scholarly journals The 2-modular characters of the Fischer group Fi23

2006 ◽  
Vol 300 (2) ◽  
pp. 555-570 ◽  
Author(s):  
Gerhard Hiss ◽  
Max Neunhöffer ◽  
Felix Noeske
Keyword(s):  
Fischer Group

scholarly journals Octad Orbits for Certain Subgroups of

2021 ◽  
pp. 155-195
Author(s):  
Peter Rowley ◽  
◽  
Louise Walker ◽  
Keyword(s):  
Steiner System ◽  
Mathieu Group ◽  
Fischer Group

Using Curtis’s MOG [3], we display the orbits and orbit representatives for various subgroups of the Mathieu group acting on the octads of the Steiner system This information is deployed in [8] and [9] to study a graph associated with the largest simple Fischer group.

More About the Mathieu Group M22

1976 ◽  
Vol 28 (5) ◽  
pp. 929-937 ◽  
Author(s):  
W. Jónsson ◽  
J. McKay
Keyword(s):  
Simple Group ◽  
Mathieu Group ◽  
Fischer Group ◽  
The Subject

We assume familiarity with the notation and contents of Conway [2] and Edge [3]. That the Mathieu group is a subgroup of the simple group PSU (6, 22) appears to have been first recognized by Conway and is consequent upon his identification of ·222 with PSU (6, 22). Although we know of no proof of this identification in the literature, several proofs exist in the folklore of the subject: for example, N. Patterson showed one of the authors a proof that depends on ·222 being a Fischer group, hence on consideration of order, isomorphic to PSU (6, 22). There is another proof which relies on McLaughlin's work on rank three groups.

nX-complementary generations of the Fischer group Fi 23

2006 ◽  
Vol 21 (1-2) ◽  
pp. 393-409 ◽  
Author(s):  
A. R. Ashrafi ◽  
G. A. Moghani
Keyword(s):  
Fischer Group

ON THE RANKS OF FISCHER GROUP Fi23

2019 ◽  
Vol 42 (2) ◽  
pp. 229-238
Author(s):  
Faryad Ali ◽  
Mohammed A. Al-Kadhi
Keyword(s):  
Fischer Group
Sign in / Sign up

Export Citation Format

Share Document