A note on locally graded minimal non-metahamiltonian groups

Locally Graded Groups with Certain Minimal Conditions for Subgroups, Ii

LOCALLY GRADED GROUPS WITH CERTAIN MINIMAL CONDITIONS FOR SUBGROUPS, II JAVIER OTAL AND JUAN MANUEL PEÑA This paper deals with one of the ways of studying infinite groups many of whose subgroups have a prescribed property, namely the consideration of minimal conditions . If P is a theoretical property of groups and subgroups, we show that a locally graded group G satisfies the minimal condition...

A Note on Locally Compact Groups

In this note we shall prove that every locally compact group can be embedded as a closed subgroup in a unimodular group. If the original group is locally Euclidean, the enlarged group will be also, hence the fifth problem of Hilbert is reduced to the unimodular case. We shall use certain results concerning Haar measure whose proof may be found in A. Weil, U integration dans les groupes topologi...

a note on groups with many locally supersoluble subgroups

it is proved here that if $g$ is a locally graded group satisfying the minimal condition on subgroups which are not locally supersoluble, then $g$ is either locally supersoluble or a vcernikov group. the same conclusion holds for locally finite groups satisfying the weak minimal condition on non-(locally supersoluble) subgroups. as a consequence, it is shown that any infinite locally graded gro...

A Note on Semi-groups in a Locally Compact Group

A Note on Graded

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