EuDML | Browse

Items

All a b c d e f g h i j k l m n o p q r s t u v w x y z Other

Page 1

Displaying 1 – 15 of 15

Finite groups in which $τ$ -quasinormality is a transitive relation

Vladimir O. Lukyanenko, Alexander N. Skiba (2010)

Rendiconti del Seminario Matematico della Università di Padova

Finite groups of bounded rank with an almost regular automorphism of prime order.

Khukhro, E.I. (2002)

Sibirskij Matematicheskij Zhurnal

Finite groups with a unique nonlinear nonfaithful irreducible character

Ali Iranmanesh, Amin Saeidi (2011)

Archivum Mathematicum

In this paper, we consider finite groups with precisely one nonlinear nonfaithful irreducible character. We show that the groups of order 16 with nilpotency class 3 are the only $p$ -groups with this property. Moreover we completely characterize the nilpotent groups with this property. Also we show that if $G$ is a group with a nontrivial center which possesses precisely one nonlinear nonfaithful irreducible character then $G$ is solvable.

Finite groups with an automorphism of prime order whose fixed points are in the Frattini of a nilpotent subgroup

Anna Luisa Gilotti (1990)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

In this paper it is proved that a finite group G with an automorphism $α$ of prime order r, such that $C_{G} (α) = 1$ is contained in a nilpotent subgroup H, with $(|H|, r) = 1$ , is nilpotent provided that either $|H|$ is odd or, if $|H|$ is even, then r is not a Fermât prime.

Finite groups with modular chains

Roland Schmidt (2013)

Colloquium Mathematicae

In 1954, Kontorovich and Plotkin introduced the concept of a modular chain in a lattice to obtain a lattice-theoretic characterization of the class of torsion-free nilpotent groups. We determine the structure of finite groups with modular chains. It turns out that this class of groups lies strictly between the class of finite groups with lower semimodular subgroup lattice and the projective closure of the class of finite nilpotent groups.

Finite Groups with some $s$ -Permutably Embedded and Weakly $s$ -Permutable Subgroups

Fenfang Xie, Jinjin Wang, Jiayi Xia, Guo Zhong (2013)

Confluentes Mathematici

Let $G$ be a finite group, $p$ the smallest prime dividing the order of $G$ and $P$ a Sylow $p$ -subgroup of $G$ with the smallest generator number $d$ . There is a set $ℳ_{d} (P) = {P_{1}, P_{2}, \dots, P_{d}}$ of maximal subgroups of $P$ such that $⋂_{i = 1}^{d} P_{i} = Φ (P)$ . In the present paper, we investigate the structure of a finite group under the assumption that every member of $ℳ_{d} (P)$ is either $s$ -permutably embedded or weakly $s$ -permutable in $G$ to give criteria for a group to be $p$ -supersolvable or $p$ -nilpotent.