2-signalizers of finite simple groups.
3-локальная характеризация группы Хельда
3-характеризация группы О'Нэна - Симса
A block-theory-free characterization of
A characterization of the groups Fi22, Fi23 and F24.
A characterization theorem for sporadic simple groups.
A Geometric Construction of Janko's Group J... .
A group-free characterization of the -geometry for .
A new characterization of Mathieu groups
Let be a finite group and the set of numbers of elements with the same order in . In this paper, we prove that a finite group is isomorphic to , where is one of the Mathieu groups, if and only if the following hold: (1) , (2) .
A Root System for the Lyons Group.
A simple construction for the Fischer-Griess monster group.
All geometries of the Mathieu group based on maximal subgroups.
An Amalgam Related to M_11 and SP_4(3)
An existence lemma for groups generated by 3-transpositions.
Characterization of the alternating groups by their order and one conjugacy class length
Let be a finite group, and let be the set of conjugacy class sizes of . By Thompson’s conjecture, if is a finite non-abelian simple group, is a finite group with a trivial center, and , then and are isomorphic. Recently, Chen et al. contributed interestingly to Thompson’s conjecture under a weak condition. They only used the group order and one or two special conjugacy class sizes of simple groups and characterized successfully sporadic simple groups (see Li’s PhD dissertation). In...
Characterizing the Sporadic Simple Group of Suzuki by a 2-Local Subgroup.
Conway's Group CO3 and the Dickson Invariants.
Coset enumeration of groups generated by symmetric sets of involutions.
Double-coset enumeration algorithm for symmetrically generated groups.
Einige orthogonale und symplektische Gruppen als Galoisgruppen über Q.