𝒱-Nilpotent Groups and 5-Term Exact Sequence

Rismanchian, Mohammad Reza

doi:10.1080/00927872.2012.744030

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Cited by 5 publications

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“…If one puts N = G, then he concept of V -marginal series and V -nilpotency of G is obtained; see [2,9]. In addition if V = {γ 2 }, where γ…”

Section: Introductionmentioning

confidence: 99%

Group extensions and marginal series of pair of groups

Rismanchian¹

2021

Comptes Rendus. Mathématique

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In this article, using the concept of generalized Baer-invariant of a pair of groups, we establish some related isomorphisms between lower marginal quotient pairs of groups, which are generalized versions of some isomorphisms of Stallings. We also derive a result for the pair (V .W , X ) to be an ultra Hall pair for special varieties of groups. This result generalizes that of Fung in 1977, which has roots in Philip Hall's criterion on nilpotency.

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“…If one puts N = G, then he concept of V -marginal series and V -nilpotency of G is obtained; see [2,9]. In addition if V = {γ 2 }, where γ…”

Section: Introductionmentioning

confidence: 99%