Calculations of some groups of Hopf algebra extensions

DOI10.1006/jabr.1996.6863zbMath0877.16019OpenAlexW2059694083MaRDI QIDQ1357801

Akira Masuoka

Publication date: 30 November 1997

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1996.6863

zbMATH Keywords

symmetric groupsextensionscyclic groupsmatched pairsOpext groups

Mathematics Subject Classification ID

(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40) Ext and Tor, generalizations, Künneth formula (category-theoretic aspects) (18G15)

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Cites Work

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• The diamond lemma for ring theory
• Coideal subalgebras in finite Hopf algebras
• Extensions of Hopf algebras and their cohomological description
• Self-dual Hopf algebras of dimension \(p^ 3\) obtained by extension
• The extension theory of the symmetric and alternating groups
• Extension theory for connected Hopf algebras
• Unitaires multiplicatifs et dualité pour les produits croisés de $\mathrm{C}^*$-algèbres
• Matched pairs of groups and bismash products of hopf algebras
• Genaralization fo cleft comodule algabras
• On second degree cohomology of symmetric and alternating groups
• EXTENSIONS OF GROUPS TO RING GROUPS