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Group extensions and marginal series of pair of groups
Mohammad Reza Rismanchian1
1 Faculty of Mathematical Sciences, Shahrekord University, Shahrekord, Iran
Comptes Rendus. Mathématique, Volume 359 (2021) no. 5, pp. 631-638.

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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DOI : 10.5802/crmath.212
Classification : 20E10, 20F19, 20J05

Mohammad Reza Rismanchian 1

1 Faculty of Mathematical Sciences, Shahrekord University, Shahrekord, Iran
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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Mohammad Reza Rismanchian. Group extensions and marginal series of pair of groups. Comptes Rendus. Mathématique, Volume 359 (2021) no. 5, pp. 631-638. doi : 10.5802/crmath.212. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.212/

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