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Il gruppo degli automorfismi esterni di un $p$ -gruppo nilpotente infinito e suoi $p$ -sottogruppi normali

Riccardo Marconi (1985)

Rendiconti del Seminario Matematico della Università di Padova

Inert subgroups of uncountable locally finite groups

Barbara Majcher-Iwanow (2003)

Commentationes Mathematicae Universitatis Carolinae

Let $G$ be an uncountable universal locally finite group. We study subgroups $H < G$ such that for every $g \in G$ , $| H : H \cap H^{g} | < | H |$ .

Infinite dimensional linear groups with many G - invariant subspaces

Leonid Kurdachenko, Alexey Sadovnichenko, Igor Subbotin (2010)

Open Mathematics

Let F be a field, A be a vector space over F, GL(F, A) be the group of all automorphisms of the vector space A. A subspace B of A is called nearly G-invariant, if dimF(BFG/B) is finite. A subspace B is called almost G-invariant, if dim F(B/Core G(B)) is finite. In the current article, we study linear groups G such that every subspace of A is either nearly G-invariant or almost G-invariant in the case when G is a soluble p-group where p = char F.

Infinite locally finite groups of type PSL(2,K) or Sz(K) are not minimal under certain conditions.

Javier Otal, Juan Manuel Peña (1988)

Publicacions Matemàtiques

In classifying certain infinite groups under minimal conditions it is needed to find non-simplicity criteria for the groups under consideration. We obtain some of such criteria as a consequence of the main result of the paper and the classification of finite simple groups.

Displaying 1 – 4 of 4

Il gruppo degli automorfismi esterni di un p -gruppo nilpotente infinito e suoi p -sottogruppi normali

Inert subgroups of uncountable locally finite groups

Infinite dimensional linear groups with many G - invariant subspaces

Infinite locally finite groups of type PSL(2,K) or Sz(K) are not minimal under certain conditions.

Currently displaying 1 – 4 of 4

Il gruppo degli automorfismi esterni di un $p$ -gruppo nilpotente infinito e suoi $p$ -sottogruppi normali