EuDML | Browse

For any number field $K$ with non-elementary $3$ -class group ${Cl}_{3} (K) ≃ C_{3^{e}} \times C_{3}$ , $e \geq 2$ , the punctured capitulation type $ϰ (K)$ of $K$ in its unramified cyclic cubic extensions $L_{i}$ , $1 \leq i \leq 4$ , is an orbit under the action of $S_{3} \times S_{3}$ . By means of Artin’s reciprocity law, the arithmetical invariant $ϰ (K)$ is translated to the punctured transfer kernel type $ϰ (G_{2})$ of the automorphism group $G_{2} = Gal (F_{3}^{2} (K) / K)$ of the second Hilbert $3$ -class field of $K$ . A classification of finite $3$ -groups $G$ with low order and bicyclic commutator quotient $G / G^{'} ≃ C_{3^{e}} \times C_{3}$ , $2 \leq e \leq 6$ , according to the algebraic invariant...

Breaking points in the poset of conjugacy classes of subgroups of a finite group

Marius Tărnăuceanu (2019)

Czechoslovak Mathematical Journal

We determine the finite groups whose poset of conjugacy classes of subgroups has breaking points. This leads to a new characterization of the generalized quaternion $2$ -groups. A generalization of this property is also studied.

$c$ -semipermutable subgroups of finite groups.

Hu, Bin, Guo, Wenbin (2007)

Sibirskij Matematicheskij Zhurnal

Calculation of Baer-invariant of Certain Groups.

Mohammad Reza R. Mogghaddam (1984)

Monatshefte für Mathematik

Cappi di Bruck e loro generalizzazioni

Benedetto Scimemi (1978)

Rendiconti del Seminario Matematico della Università di Padova

Certain embedding of the Burnside ring into its ghost ring

Kenneth K. Nwabueze (1994)

Acta Mathematica et Informatica Universitatis Ostraviensis

Character induction in p-groups.

Santa Coloma, Teresa L. (1986)

International Journal of Mathematics and Mathematical Sciences

Chern Classes and Extraspecial Groups.

David J. Green, Ian J. Leary (1995)

Manuscripta mathematica

Commuting graphs for partially commutative nilpotent $ℚ$ -groups of class 2.

Mishchenko, A.A., Trejer, A.V. (2007)

Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]

Conditions for p-supersolubility and p-nilpotency of finite soluble groups

Wenai Yan, Baojun Li, Zhirang Zhang (2013)

Colloquium Mathematicae

Let ℨ be a complete set of Sylow subgroups of a group G. A subgroup H of G is called ℨ-permutably embedded in G if every Sylow subgroup of H is also a Sylow subgroup of some ℨ-permutable subgroup of G. By using this concept, we obtain some new criteria of p-supersolubility and p-nilpotency of a finite group.

Currently displaying 21 – 40 of 278

Previous Page 2 Next

Displaying 21 – 40 of 278

Automorphisms of a Finite P-Group

Automorphisms of Locally Nilpotent FC-Groups.

Automorphisms of $p$ -groups of maximal class

Automorphisms of $p$ -groups with cyclic commutator subgroup

Automorphisms of Quaternion-Free 2-Groups.

Automorphisms of regular wreath product $p$ -groups.

Automorphisms of Verardi groups: small upper triangular matrices over rings.

Bicyclic commutator quotients with one non-elementary component