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math.GR2011★ 1 cited
Some Functorial Properties of Nilpotent Multipliers
Behrooz Mashayekhy, Mahboobeh Alizadeh Sanati
In this paper, we are going to look at the -nilpotent multiplier of a group , , as a functor from the category of all groups, , to the category…
math.GR2011
On the Order of Nilpotent Multipliers of Finite p-Groups
Behrooz Mashayekhy, Mahboobeh Alizadeh Sanati
Let be a finite -group of order . YA. G. Berkovich (Journal of Algebra {\bf 144}, 269-272 (1991)) proved that is elementary abelian -group if and only if the ord…
math.GR2011★ 3 cited
On Polynilpotent Covering Groups of a Polynilpotent Group
Behrooz Mashayekhy, Mahboobeh Alizadeh Sanati
Let be the variety of polynilpotent groups of class row . In this paper, first, we show that a polynilpotent group of class row $(c_1,..…