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Displaying similar documents to “Weak generic types and coverings of groups I”

Remarks to Głazek's results on n-ary groups

Wiesław A. Dudek (2007)

Discussiones Mathematicae - General Algebra and Applications

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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.

Finite Groups as the Union of Proper Subgroups

Zhang, Jiping (2006)

Serdica Mathematical Journal

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2000 Mathematics Subject Classification: 20D60,20E15. As is known, if a finite solvable group G is an n-sum group then n − 1 is a prime power. It is an interesting problem in group theory to study for which numbers n with n-1 > 1 and not a prime power there exists a finite n-sum group. In this paper we mainly study finite nonsolvable n-sum groups and show that 15 is the first such number. More precisely, we prove that there exist no finite 11-sum or 13-sum groups and there...

On weak monomorphisms and weak epimorphisms in the category of pro-groups.

I. Pop (1992)

Revista Matemática de la Universidad Complutense de Madrid

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In this paper we characterize weak monomorphisms and weak epimorphisms in the category of pro-groups. Also we define the notion of weakly exact sequence and we study this notion in the category of pro-groups.