Some Notes on the Baer Invariant of a Nilpotent Product of Groups

Details Some Notes on the Baer Invariant of a Nilpotent Product of Groups Some Notes on the Baer Invariant of a Nilpotent Product of Groups

2011-03-30

arxiv.org/abs/1103.5905v1

Journal of Algebra, 235:1 (2001) 15-26

Mathematics

Group Theory

13 pages

Scientific paper

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-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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