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Paper   IPM / M / 630
School of Mathematics
  Title:   Some notes on the Baer-invariant of a nilpotent product of groups
  Author(s):  B. Mashayekhy
  Status:   Published
  Journal: J. Algebra
  No.:  1
  Vol.:  235
  Year:  2001
  Pages:   15-26
  Supported by:  IPM
  Abstract:
W. Haebich (1972, Bull. Austral. Math. Soc. 7,279-296) presented a formula for the Schur multiplier of a regular product of groups. In this paper, first, it is shown that the Baer-invariant of a nilpotent product of groups with respect to the variety of nilpotent groups has a homomorphic image and in finite case a subgroup of Haebich's type. Second, a formula will be presented for the Baer-invariant of a nilpotent product of cyclic groups with respect to the variety of nilpotent groups.

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