Dependence in groups
R.C. Lyndon (1966)
Colloquium Mathematicae
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R.C. Lyndon (1966)
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Jerzy Dydak (1975)
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S. Rolewicz (1964)
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Wiesław A. Dudek (2007)
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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.
Colin C. Graham (1977)
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Zhang, Jiping (2006)
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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...
Ivko, M.N. (2005)
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