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8 papers · 1 filter
Some outer commutator multipliers and capability of nilpotent products of cyclic groups
Mohsen Parvizi, Behrooz Mashayekhy
In this paper, first we obtain an explicit formula for an outer commutator multiplier of nilpotent products of cyclic groups with respect to the variety $[\mathfrak{N}_{c_1},\mathf…
Some Notes on the Baer Invariant of a Nilpotent Product of Groups
Behrooz Mashayekhy
W.Haebich (Bull. Austral. Math. Soc., 7, 1972, 279-296) presented a formula for the Schur multiplier of a regular product of groups. In this paper first, it is shown that the Baer-…
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…
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,..…
Some Baer Invariants of Free Nilpotent Groups
Behrooz Mashayekhy, Mohsen Parvizi
We present an explicit structure for the Baer invariant of a free th nilpotent group (the th nilpotent product of infinite cyclic groups, $\textbf{Z}\st{n}* \textbf{Z}\st{n}*…
Generalized Covering Groups and Direct Limits
Behrooz Mashayekhy, Hanieh Mirebrahimi
M. R. R. Moghaddam (Monatsh. Math. 90 (1980) 37-43.) showed that the Baer invariant commutes with the direct limit of a directed system of groups. In this paper, using the generali…