Generating series for the Coxeter groups and applications.

Meignen, Pierrick

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Remarks to Głazek's results on n-ary groups

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This is a survey of the results obtained by K. Głazek and his co-workers. We restrict our attention to the problems of axiomatizations of n-ary groups, classes of n-ary groups, properties of skew elements and homomorphisms induced by skew elements, constructions of covering groups, classifications and representations of n-ary groups. Some new results are added too.