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The group $Aut_{sn}G$ of all automorphisms leaving invariant every subnormal subgroup of the group $G$ is studied. In particular it is proved that $Aut_{sn}G$ is metabelian if $G$ is soluble, and that $Aut_{sn}G$ is either finite or abelian if $G$ is polycyclic.

On Bimorphisms and Quadratic Forms on Groups

S. KUREPA (1973)

Aequationes mathematicae

On Bimorphisms and Quadratic Forms on Groups. (Short Communications).

Svetozar Kurepa (1972)

Aequationes mathematicae

On finite homomorphic images of the multiplicative group of a division algebra.

Segev, Yoav (1999)

Annals of Mathematics. Second Series

On Frobenius groups containing an element of order 3.

Zhurtov, A. Kh. (2000)

Vladikavkazskiĭ Matematicheskiĭ Zhurnal

On group automorphisms fixing subnormal subgroups setwise

Ulderico Dardano, Clara Franchi (2000)

Bollettino dell'Unione Matematica Italiana

In questo lavoro si studiano i gruppi ${Aut}_{s n} (G)$ , ${Aut}_{d} (G)$ , ${Aut}_{χ} (G)$ degli automorfismi di un gruppo $G$ che fissano — come insiemi — tutti i sottogruppi di $G$ che risultano essere rispettivamente subnormali, subnormali di difetto al più $d$ , oppure che sono compresi tra un sottogruppo caratteristico ed il suo derivato. Si danno condizioni sufficienti affinché tali gruppi siano parasolubili di para-altezza al più 2 o 3. Si generalizzano così risultati da [4], [7], [8], [10].

On group operations in groups of exponent k

A. Solecki (1974)

Colloquium Mathematicae

On groups of smooth maps into a simple compact Lie group.

Pierre de de Harpe (1988)

Commentarii mathematici Helvetici

On homomorphisms of fuzzy groups.

Dobritsa, V.P., Yakh'yaeva, G.Eh. (2002)

Sibirskij Matematicheskij Zhurnal

On infinite Nielsen transformations.

Olga Macedonska-Nosalska (1982)

Mathematica Scandinavica

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 $m$ .

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On a question of Deaconescu about automorphisms

On a question of Deaconescu about automorphisms. - II

On automorphism groups of connected Lie groups.

On automorphism groups of finite dimensional modules

On automorphisms fixing subnormal subgroups of soluble groups

On Bimorphisms and Quadratic Forms on Groups

On Bimorphisms and Quadratic Forms on Groups. (Short Communications).

On finite homomorphic images of the multiplicative group of a division algebra.

On Frobenius groups containing an element of order 3.

On group automorphisms fixing subnormal subgroups setwise

On group operations in groups of exponent k

On groups of smooth maps into a simple compact Lie group.

On homomorphisms of fuzzy groups.

On infinite Nielsen transformations.

On locally finite groups and the centralizers of automorphisms

On orbits of automorphism groups.

On outer automorphisms of Černikov $p$ -groups

On regular automorphisms of order 3 and Frobenius pairs.

On tame automorphisms of some metabelian groups.

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

Currently displaying 1 – 20 of 26