-blocks of solvable groups.
Maximal subclasses of local Fitting classes.
Maximal subgroups and PST-groups
A subgroup H of a group G is said to permute with a subgroup K of G if HK is a subgroup of G. H is said to be permutable (resp. S-permutable) if it permutes with all the subgroups (resp. Sylow subgroups) of G. Finite groups in which permutability (resp. S-permutability) is a transitive relation are called PT-groups (resp. PST-groups). PT-, PST- and T-groups, or groups in which normality is transitive, have been extensively studied and characterised. Kaplan [Kaplan G., On T-groups, supersolvable...
Maximal subgroups of finite groups.
Metrische G-Moduln über Körpern der Charakteristik 2.
M-Groups and the Supersolvable Residual.
Minimal formations of universal algebras
A class ℱ of universal algebras is called a formation if the following conditions are satisfied: 1) Any homomorphic image of A ∈ ℱ is in ℱ; 2) If α₁, α₂ are congruences on A and , i = 1,2, then A/(α₁∩α₂) ∈ ℱ. We prove that any formation generated by a simple algebra with permutable congruences is minimal, and hence any formation containing a simple algebra, with permutable congruences, contains a minimum subformation. This result gives a partial answer to an open problem of Shemetkov and Skiba...
Modular Frobenius Groups.
Modules over Group Algebras and Their Application in the Study of Semi -Simplicity.
Moduln und verschränkte Homomorphismen endlicher Gruppen.
More metanilpotent Fitting classes with bounded chief factor ranks
More Normal Fitting Classes of Finite Solvable Groups.
Mycielski-Sierpiński conjecture and Korec-Znám result