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$M$ -blocks of solvable groups.

Horváth, E. (1997)

Mathematica Pannonica

Maximal subclasses of local Fitting classes.

Savel'eva, N.V., Vorob'ev, N.T. (2008)

Sibirskij Matematicheskij Zhurnal

Maximal subgroups and PST-groups

Adolfo Ballester-Bolinches, James Beidleman, Ramón Esteban-Romero, Vicent Pérez-Calabuig (2013)

Open Mathematics

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.

Srinivasan, S. (1990)

International Journal of Mathematics and Mathematical Sciences

Metrische G-Moduln über Körpern der Charakteristik 2.

Wolfgang Willems (1977)

Mathematische Zeitschrift

M-Groups and the Supersolvable Residual.

Gary M. Seitz (1969)

Mathematische Zeitschrift

Minimal formations of universal algebras

Wenbin Guo, K.P. Shum (2001)

Discussiones Mathematicae - General Algebra and Applications

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 $A / α_{i} \in ℱ$ , 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...