Search results for " topological groups"

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A Survey on Just-Non-X Groups

2010

Let be a class of groups. A group which does not belong to but all of whose proper quotient groups belong to is called just-non- group. The present note is a survey of recent results on the topic with a special attention to topological groups.

Settore MAT/02 - AlgebraJNX groups MNX groups topological groupsSettore MAT/03 - Geometria
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Probability of mutually commuting n-tuples in some classes of compact groups

2008

In finite groups the probability that two randomly chosen elements commute or randomly ordered n−tuples of elements mutually commute have recently attracted interest by many authors. There are some classical results estimating the bounds for this kind of probability so that the knowledge of the whole structure of the group can be more accurate. The same problematic has been recently extended to certain classes of infinite compact groups in [2], obtaining restrictions on the group of the inner automorphisms. Here such restrictions are improved for a wider class of infinite compact groups.

Settore MAT/02 - AlgebraSettore MAT/05 - Analisi MatematicaSettore MAT/03 - GeometriaMutually commuting n-tuples commutativity degree compact groups topological groups
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