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

Displaying 81 – 100 of 184

On locally finite groups and the centralizers of automorphisms

Pavel Shumyatsky (2001)

Bollettino dell'Unione Matematica Italiana

Sia $p$ un primo, e $A$ un gruppo abeliano elementare di ordine $p^{2}$ che agisce sul $p^{'}$ -gruppo localmente finito $G$ . Supponiamo che esista un intero positivo $m$ tale che $[C_{G} (a), \underset{m}{\underset{︸}{C_{G} (b), \dots, C_{G} (b)}}] = 1$ per ogni $a, b \in A^{♯}$ . In questo articolo si dimostra che $G$ è nilpotente, con classe di nilpotenza limitata da una funzione che dipende solo da $p$ e $m$ .

On orbits of automorphism groups.

Deaconescu, Marian, Walls, Gary L. (2005)

Sibirskij Matematicheskij Zhurnal

On outer automorphisms of Černikov $p$ -groups

Orazio Puglisi (1990)

Rendiconti del Seminario Matematico della Università di Padova

On regular automorphisms of order 3 and Frobenius pairs.

Zhurtov, A.Kh. (2000)

Siberian Mathematical Journal

On tame automorphisms of some metabelian groups.

Timoshenko, E.I. (2000)

Siberian Mathematical Journal

On the centralizer of an automorphism of order 2 of the Burnside group $B_{0} (2, 5)$ .

Kuznetsov, A.A., Filippov, K.A. (2010)

Vladikavkazskiĭ Matematicheskiĭ Zhurnal

On the character variety of group representations in SL (2, C) and PSL (2, C).

J.M. Montesinos, F. Acuna-Gonzalez (1993)

Mathematische Zeitschrift

On the existence of group localizations under large-cardinal axioms.

Carles Casacuberta, Dirk Scevenels (2001)

RACSAM

Uno de los problemas abiertos más antiguos de la teoría de grupos categórica es si todo par ortogonal (formado por una clase de grupos y una clase de homomorfismos que se determinan mutuamente por ortogonalidad en el sentido de Freyd-Kelly), se halla asociado a un funtor de localización. Se sabe que esto es cierto si se acepta la validez de un cierto axioma de cardinales grandes (el principio de Vopenka), pero no se conoce ninguna demostración mediante los axiomas ordinarios (ZFC) de la teoría de...

On the Fixed-Point Set and Commutator Subgroup of an Automorphism of a Group of Finite Rank

B. A. F. Wehrfritz (2012)

Rendiconti del Seminario Matematico della Università di Padova

On the Homomorphisms of the Integral Linear Groups.

Alexander J. Hahn (1972)

Mathematische Annalen

On the isomorphism problem in the class of extensions of a free group by an infinite cyclic group.

Vikent'ev, R.A. (2007)

Sibirskij Matematicheskij Zhurnal

Outer automorphism groups of Bieberbach groups.

Szczepański, Andrzej (1996)

Bulletin of the Belgian Mathematical Society - Simon Stevin

Points fixes des automorphismes de groupe hyperbolique

Frédéric Paulin (1989)

Annales de l'institut Fourier

Nous montrons que le sous-groupe des points fixes d’un automorphisme d’un groupe hyperbolique au sens de M. Gromov est de type fini.

Polycyclic groups with automorphisms of order four

Tao Xu, Fang Zhou, Heguo Liu (2016)

Czechoslovak Mathematical Journal

In this paper, we study the structure of polycyclic groups admitting an automorphism of order four on the basis of Neumann’s result, and prove that if $α$ is an automorphism of order four of a polycyclic group $G$ and the map $ϕ : G \to G$ defined by $g^{ϕ} = [g, α]$ is surjective, then $G$ contains a characteristic subgroup $H$ of finite index such that the second derived subgroup $H^{''}$ is included in the centre of $H$ and $C_{H} (α^{2})$ is abelian, both $C_{G} (α^{2})$ and $G / [G, α^{2}]$ are abelian-by-finite. These results extend recent and classical results in the literature....

Properties of subgroups not containing their centralizers

Lemnouar Noui (2009)

Annales mathématiques Blaise Pascal

In this paper, we give a generalization of Baer Theorem on the injective property of divisible abelian groups. As consequences of the obtained result we find a sufficient condition for a group $G$ to express as semi-direct product of a divisible subgroup $D$ and some subgroup $H$ . We also apply the main Theorem to the $p$ -groups with center of index $p^{2}$ , for some prime $p$ . For these groups we compute $N_{c} (G)$ the number of conjugacy classes and $N_{a}$ the number of abelian maximal subgroups and $N_{n a}$ the number of nonabelian...

Currently displaying 81 – 100 of 184

Previous Page 5 Next