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   Articles with "symmetric groups" as a keyword



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Automorphisms of symmetric groups are toy examples for mapping class groups

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recommendations! Published in 2021 at "Expositiones Mathematicae"

DOI: 10.1016/j.exmath.2020.06.004

Abstract: Abstract We give a new proof establishing the automorphism groups of the symmetric groups inspired by the analogous result of Ivanov for the extended mapping class group. As a key tool, we consider the actions… read more here.

Keywords: toy examples; mapping class; automorphisms symmetric; symmetric groups ... See more keywords
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Character restrictions and multiplicities in symmetric groups

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recommendations! Published in 2017 at "Journal of Algebra"

DOI: 10.1016/j.jalgebra.2017.01.021

Abstract: Abstract We give natural correspondences of odd-degree characters of the symmetric groups and some of their subgroups, which can be described easily by restriction of characters, degrees and multiplicities. read more here.

Keywords: character restrictions; restrictions multiplicities; symmetric groups; multiplicities symmetric ... See more keywords
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Hilbert functions of certain rings of invariants via representations of the symmetric groups (with an appendix by Dejan Govc)

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recommendations! Published in 2021 at "Journal of Algebra"

DOI: 10.1016/j.jalgebra.2020.12.004

Abstract: Abstract In this paper we study rings of invariants arising in the study of finite dimensional algebraic structures. The rings we encounter are graded rings of the form K [ U ] Γ where Γ… read more here.

Keywords: hilbert; appendix dejan; dejan govc; rings invariants ... See more keywords
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Noether’s problem for orientation p-subgroups of symmetric groups

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recommendations! Published in 2018 at "Communications in Algebra"

DOI: 10.1080/00927872.2018.1461892

Abstract: ABSTRACT We give a positive solution to Noether’s rationality problem for certain index p subgroups of the p-Sylow subgroups of symmetric groups. read more here.

Keywords: subgroups symmetric; noether problem; problem orientation; orientation subgroups ... See more keywords