A characterization of dominant local Fitting classes

作者：Hauck P^*; Zahursky V N

来源：Journal of Algebra, 2012, 358: 27-32.

DOI：10.1016/j.jalgebra.2012.02.024

• Finite groups
• Fitting classes
• Dominant Fitting classes
• Local Fitting classes
• Injectors
• Radicals

A Fitting class S is called dominant in the class of all finite soluble groups G if S subset of G and for every group G is an element of G any two S-maximll subgroups of G containing the 3-radical G(S) of G are conjugate in G. In this paper a characterization of dominant local Fitting classes in the class of all finite soluble groups is established.

• 出版日期2012-5-15