Difference between revisions 38148285 and 44943264 on enwiki

'''Driss Abouabdillah''' (or Driss Bouabdillah) is a contemporary Moroccan mathematician born in [[Meknès]] on 1 april [[1948]] . Teacher of [[Algebra]] and [[Geometry]] at the ENS (higher teacher training school) of [[Rabat]].

== Contributions ==

*In Geometry he gave several characterizations of similarities as mappings that preserve circles or spheres,(  [http://www.geocities.com/bwakeel/]).
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*He proposed an alternative axiomatic approach to Euclidean Geometry by giving an axiomatic definition of equipollence.(  [http://www.geocities.com/bwakeel/]).⏎

*He studied maximal sub-groups of the group of positive isometries and gave several examples of such subgroups.
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*He also contributes to Abelian Group Theory and to Commutative Algebra where he gave the definition of topologically prüferian rings.
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*In [[Number Theory]] he discovered the following theorem on antichains of N. ( An antichain of N, for divisibility, is a set of non nul integers such that no one is divisible by another. It is not difficult to prove that the maximal cardinality of an antichain of <math>E_{2n}</math> = {1,2,...,2n} is n).

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[8] - D. Abouabdillah & J.Turgeon, On a 1937 problem of Paul Erdös concerning certain finite sequences of integers none divisible by another. Congressus Numerantium. A conference journal on numerical themes. Vol.43, December,1984, (Winnipeg, Canada), pp.19-22.

[[Category:Moroccan mathematicians]]
[[Category:1948 births]]
[[Category:Living people]]