Minimal conditions on Clifford semigroup congruences.
Abdallah, M.El-Ghali M., Gab-Alla, L.N., Elagan, Sayed K.M. (2006)
International Journal of Mathematics and Mathematical Sciences
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Abdallah, M.El-Ghali M., Gab-Alla, L.N., Elagan, Sayed K.M. (2006)
International Journal of Mathematics and Mathematical Sciences
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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....
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The paper reports the results of a search for pairs of groups of order that can be placed in the distance for the case when . The constructions that are used are of the general character and some of their properties are discussed as well.
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