Displaying similar documents to “On semilattices of groups whose arrows are epimorphisms.”

N-determined 2-compact groups. I

Jesper M. Møller (2007)

Fundamenta Mathematicae

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This is the first part of a paper that classifies 2-compact groups. In this first part we formulate a general classification scheme for 2-compact groups in terms of their maximal torus normalizer pairs. We apply this general classification procedure to the simple 2-compact groups of the A-family and show that any simple 2-compact group that is locally isomorphic to PGL(n+1,ℂ) is uniquely N-determined. Thus there are no other 2-compact groups in the A-family than the ones we already know....

On small distances of small 2-groups

Natalia Zhukavets (2001)

Commentationes Mathematicae Universitatis Carolinae

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The paper reports the results of a search for pairs of groups of order n that can be placed in the distance n 2 / 4 for the case when n { 16 , 32 } . The constructions that are used are of the general character and some of their properties are discussed as well.