scholarly journals Locally toroidal polytopes of rank 6 and sporadic groups

2017 ◽  
Vol 312 ◽  
pp. 459-472
Author(s):  
Dmitrii V. Pasechnik
Keyword(s):  
Sporadic Groups

More on b-injectors of sporadic groups+

2000 ◽  
Vol 28 (4) ◽  
pp. 2185-2190 ◽  
Author(s):  
M.I.M. Alali ◽  
Ch Hering ◽  
A. Neumann
Keyword(s):  
Sporadic Groups

Distance-transitive representations of the sporadic groups

1995 ◽  
Vol 23 (9) ◽  
pp. 3379-3427 ◽  
Author(s):  
A.A. Ivanov ◽  
S.A. Linton ◽  
K. Lux ◽  
J. Saxl ◽  
L.H. Soicher
Keyword(s):  
Sporadic Groups

scholarly journals On the Structure of Integral Group Rings of Sporadic Groups

2000 ◽  
Vol 3 ◽  
pp. 274-306 ◽  
Author(s):  
Frauke M. Bleher ◽  
Wolfgang Kimmerle
Keyword(s):  
Automorphism Groups ◽  
Symmetric Groups ◽  
Computational Procedure ◽  
Isomorphism Problem ◽  
Simple Groups ◽  
Group Rings ◽  
Integral Group ◽  
Sporadic Groups ◽  
Integral Group Rings ◽  
Sporadic Simple Groups

AbstractThe object of this article is to examine a conjecture of Zassenhaus and certain variations of it for integral group rings of sporadic groups. We prove the ℚ-variation and the Sylow variation for all sporadic groups and their automorphism groups. The Zassenhaus conjecture is established for eighteen of the sporadic simple groups, and for all automorphism groups of sporadic simple groups G which are different from G. The proofs are given with the aid of the GAP computer algebra program by applying a computational procedure to the ordinary and modular character tables of the groups. It is also shown that the isomorphism problem of integral group rings has a positive answer for certain almost simple groups, in particular for the double covers of the symmetric groups.

Sporadic groups and automorphisms of linear spaces

2000 ◽  
Vol 8 (5) ◽  
pp. 353-362 ◽  
Author(s):  
Alan R. Camina ◽  
Federica Spiezia
Keyword(s):  
Sporadic Groups ◽  
Linear Spaces
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