ON SCHUR MULTIPLIERS OF SOME RELATIVELY FREE GROUPS

Authors

  • Grigor G. Gevorgyan Chair of Algebra and Geometry, YSU, Armenia

DOI:

https://doi.org/10.46991/PYSU:A/2022.56.1.001

Keywords:

central extension, infinitely based variety, Schur multiplier, relatively free group

Abstract

In this paper central extensions of free groups of infinitely based varieties of S.I. Adian are constructed. Using this extensions we prove that the Schur multipliers of mentioned relatively free groups are free Abelian groups of infinite rank. It is well-known that these varieties are given by identities in two variables. For a fixed rank $m$, the set of free groups of rank $m$ of these varieties has the cardinality of continuum.

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Published

2022-03-25

How to Cite

Gevorgyan, G. G. (2022). ON SCHUR MULTIPLIERS OF SOME RELATIVELY FREE GROUPS. Proceedings of the YSU A: Physical and Mathematical Sciences, 56(1 (257), 1–6. https://doi.org/10.46991/PYSU:A/2022.56.1.001

Issue

Section

Mathematics