Automorphisms of a Finite P-Group
Automorphisms of -groups of maximal class
Automorphisms of regular wreath product -groups.
Barycentric-sum problems: a survey.
Bases of certain finite groups
Blocks, solvable permutation groups, and Landau's theorem.
-groups.
Characterization of finite groups by their commuting graph.
Characterization of by its non-commuting graph.
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...
Characters of finite groups and divisibility problems. (Charaktere endlicher Gruppen und Teilbarkeitsfragen.)
Classification of finite groups with many minimal subgroups and with the number of conjugacy classes of G/S(G) equal to 8.
In this paper we classify all the finite groups satisfying r(G/S(G))=8 and ß(G)=r(G) - a(G) - 1, where r(G) is the number of conjugacy classes of G, ß(G) is the number of minimal normal subgroups of G, S(G) the socle of G and a(G) the number of conjugacy classes of G out of S(G). These results are a contribution to the general problem of the classification of the finite groups according to the number of conjugacy classes.
Commuting graphs for partially commutative nilpotent -groups of class 2.
Complements of the socle in almost simple groups
Conjugacy class lengths of metanilpotent groups
Conjugacy classes in a p-group of maximal class of order p^8
Conjugacy classes in metacyclic finite groups
Constituents of the product of characters in odd order groups.
Construction of finite soluble groups. (Konstruktion endlicher auflösbarer Gruppen.)
Counting -groups and nilpotent groups