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Displaying 21 – 40 of 76

On finite loops and their inner mapping groups

Markku Niemenmaa (2004)

Commentationes Mathematicae Universitatis Carolinae

In this paper we consider finite loops and discuss the following problem: Which groups are (are not) isomorphic to inner mapping groups of loops? We recall some known results on this problem and as a new result we show that direct products of dihedral 2-groups and nontrivial cyclic groups of odd order are not isomorphic to inner mapping groups of finite loops.

On finite loops whose inner mapping groups have small orders

Markku Niemenmaa (1996)

Commentationes Mathematicae Universitatis Carolinae

We investigate the situation that the inner mapping group of a loop is of order which is a product of two small prime numbers and we show that then the loop is soluble.

On finite minimal non-p-supersoluble groups

Fernando Tuccillo (1992)

Colloquium Mathematicae

If ℱ is a class of groups, then a minimal non-ℱ-group (a dual minimal non-ℱ-group resp.) is a group which is not in ℱ but any of its proper subgroups (factor groups resp.) is in ℱ. In many problems of classification of groups it is sometimes useful to know structure properties of classes of minimal non-ℱ-groups and dual minimal non-ℱ-groups. In fact, the literature on group theory contains many results directed to classify some of the most remarkable among the aforesaid classes. In particular, V....

On finite soluble groups verifying an extremal condition on subgroups.

Fernando Tuccillo (1991)

Collectanea Mathematica

We classify the finite soluble groups satisfying the following condition: if H is a subgroup of G and H is not nilpotent, then the Fitting subgroup of H is the centralizer in H of its derived subgroup H'.

On groups admitting a group of automorphisms whose centralizer has bounded rank.

Mazurov, V.D., Khukhro, E.I. (2006)

Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]

On groups for which the lattice of normal subgroups is distributive

Gerhard Pazderski (1987)

Beiträge zur Algebra und Geometrie = Contributions to algebra and geometry

On groups of odd order admitting an elementary 2-group of automorphisms

Karise G. Oliveira, Pavel Shumyatsky, Carmela Sica (2011)

Rendiconti del Seminario Matematico della Università di Padova

On Hall subgroups of a finite group

Wenbin Guo, Alexander Skiba (2013)

Open Mathematics

New criteria of existence and conjugacy of Hall subgroups of finite groups are given.

On Huppert's theorem.

Shemetkov, L.A. (2003)

Sibirskij Matematicheskij Zhurnal

On Internal Formation Theory.

Charles R.B. Wright (1973)

Mathematische Zeitschrift

On Kurosh-Amitsur radicals of finite groups.

Krempa, Jan, Malinowska, Izabela Agata (2011)

Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică

On lattice properties of S-permutably embedded subgroups of finite soluble groups

L. M. Ezquerro, M. Gómez-Fernández, X. Soler-Escrivà (2005)

Bollettino dell'Unione Matematica Italiana

In this paper we prove the following results. Let π be a set of prime numbers and G a finite π-soluble group. Consider U, V ≤ G and $H \in {Hall}_{π} (G)$ such that $H \cap V \in {Hall}_{π} (V)$ and $1 \neq H \cap U \in {Hall}_{π} (U)$ . Suppose also $H \cap U$ is a Hall π-sub-group of some S-permutable subgroup of G. Then $H \cap U \cap V \in {Hall}_{π} (U \cap V)$ and $〈 H \cap U, H \cap V 〉 \in {Hall}_{π} (〈 U \cap V 〉)$ . Therefore,the set of all S-permutably embedded subgroups of a soluble group G into which a given Hall system Σ reduces is a sublattice of the lattice of all Σ-permutable subgroups of G. Moreover any two subgroups of this sublattice of coprimeorders permute.

On loops whose inner permutations commute

Piroska Csörgö, Tomáš Kepka (2004)

Commentationes Mathematicae Universitatis Carolinae

Multiplication groups of (finite) loops with commuting inner permutations are investigated. Special attention is paid to the normal closure of the abelian permutation group.

Currently displaying 21 – 40 of 76

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Displaying 21 – 40 of 76

On finite loops and their inner mapping groups

On finite loops whose inner mapping groups have small orders

On finite minimal non-p-supersoluble groups

On finite soluble groups verifying an extremal condition on subgroups.

On groups admitting a group of automorphisms whose centralizer has bounded rank.

On groups for which the lattice of normal subgroups is distributive

On groups of odd order admitting an elementary 2-group of automorphisms

On Hall subgroups of a finite group

On Huppert's theorem.

On Internal Formation Theory.

On Kurosh-Amitsur radicals of finite groups.

On lattice properties of S-permutably embedded subgroups of finite soluble groups

On loops whose inner permutations commute

On minimal non-supersoluble groups.

On minimal subgroups which are normal.

On nonnilpotent groups in which every two 3-maximal subgroups are permutable.

On Normal Subgroups of p-Solvable Groups.

On n-Sum Groups.

On $p$ -decomposable groups.

On Partial Ordering of Chief Factors in Solvable Groups.

Currently displaying 21 – 40 of 76