The prolongation of central extensions

The prolongation of central extensions

The aim of this paper is to study the $( alpha, gamma)$-prolongation of central extensions. We obtain the obstruction theory for $( alpha, gamma)$-prolongations and classify $( alpha, gamma)$-prolongations thanks to low-dimensional cohomology groups of groups.

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Veröffentlicht in:International journal of group theory 2012-06, Vol.1 (2), p.39-49
Hauptverfasser: Nguyen Tien Quang, Pham Thi Cuc, Che Thi Kim Phung
Format: Artikel
Sprache:eng
Schlagworte:
Crossed product
group cohomology
group extension
obstruction
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Zusammenfassung:The aim of this paper is to study the $( alpha, gamma)$-prolongation of central extensions. We obtain the obstruction theory for $( alpha, gamma)$-prolongations and classify $( alpha, gamma)$-prolongations thanks to low-dimensional cohomology groups of groups.
ISSN:2251-7650
2251-7669