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arXiv · 1103.5905

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

Behrooz Mashayekhy
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Abstract

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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Behrooz Mashayekhy. 2011-03-30. Some Notes on the Baer Invariant of a Nilpotent Product of Groups. https://arxiv.org/abs/1103.5905

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