Free Centre-by-Nilpotent-by-Abelian Lie Rings of Rank 2

Alexandrou, Maria; Stöhr, Ralph

doi:10.1017/s1446788715000051

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2017

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Cited by 2 publications

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“…This is the main result of this paper, see Theorem 5.1 in Section 5. In the earlier paper [1] a complete description of the torsion subgroup of the additive group of the more reduced quotient…”

Section: Introductionmentioning

confidence: 99%

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Torsion in free center-by-nilpotent-by-abelian Lie rings of rank 2

Stöhr

2017

Communications in Algebra

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For c ≥ 2, the free centre-by-(nilpotent-of-class-c-1)-by abelian Lie ring on a set X is the quotient L/[(L ′ ) c , L] where L is the free Lie ring on X, and (L ′ ) c denotes the cth term of the lower central series of the derived ideal L ′ = L 2 of L. In this paper we give a complete description of the torsion subgroup of its additive group in the case where |X| = 2 and c is a prime number.

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Section: Introductionmentioning

confidence: 99%

“…Note that (1.2) coincides with (1.1) for c = 2 and c = 3, but not for c ≥ 4. We make essential use of the results from [1].…”

Section: Introductionmentioning

confidence: 99%