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20-XX Group theory and generalizations
20Dxx Abstract finite groups
20D10 Solvable groups, theory of formations, Schunck classes, Fitting classes, $π$ -length, ranks

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Displaying 21 – 32 of 32

Finite $p$ -nilpotent groups with some subgroups weakly $ℳ$ -supplemented

Liushuan Dong (2020)

Czechoslovak Mathematical Journal

Suppose that $G$ is a finite group and $H$ is a subgroup of $G$ . Subgroup $H$ is said to be weakly $ℳ$ -supplemented in $G$ if there exists a subgroup $B$ of $G$ such that (1) $G = H B$ , and (2) if $H_{1} / H_{G}$ is a maximal subgroup of $H / H_{G}$ , then $H_{1} B = B H_{1} < G$ , where $H_{G}$ is the largest normal subgroup of $G$ contained in $H$ . We fix in every noncyclic Sylow subgroup $P$ of $G$ a subgroup $D$ satisfying $1 < | D | < | P |$ and study the $p$ -nilpotency of $G$ under the assumption that every subgroup $H$ of $P$ with $| H | = | D |$ is weakly $ℳ$ -supplemented in $G$ . Some recent results are generalized.

Finite p'-nilpotent groups. I.

Srinivasan, S. (1987)

International Journal of Mathematics and Mathematical Sciences

Finite soluble and nilpotent groups with a restriction on the rank of the centralizer of an automorphism of prime order.

Khukhro, E.I. (2000)

Siberian Mathematical Journal

Fischer classes in finite groups.

J. R. Martínez Verduch (1976)

Collectanea Mathematica

Fitting Formations of finite Soluble Groups.

R.A. Bryce, Cossey John (1972)

Mathematische Zeitschrift

Fitting height of $A$ -nilpotent groups

Pavel Shumyatsky (2000)

Rendiconti del Seminario Matematico della Università di Padova

Fittingfunktoren in endlichen auflösbaren Gruppen. I.

J.C. Beidleman, B. Brewster, P. Hauck (1983)

Mathematische Zeitschrift

Fixed point free action with regular orbits.

Alexandre Turull (1986)

Journal für die reine und angewandte Mathematik

Fonction de Möbius d'un groupe fini et anneau de Burnside.

Jacques Thévenaz, Charles Kratzer (1984)

Commentarii mathematici Helvetici

Formations generated by a group of socle length 2.

Burichenko, V.P. (2008)

Sibirskij Matematicheskij Zhurnal

Frattini theory for classes of finite universal algebras of Mal'tsev varieties.

Guo, Wenbin, Shum, Kar-Ping (2002)

Sibirskij Matematicheskij Zhurnal

Frobenius Subgroups of Free Products of Prosolvable Groups.

Luis Ribes, Wolfgang N. Herfort (1989)

Monatshefte für Mathematik

Currently displaying 21 – 32 of 32

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