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20122026
most citedCharacters of odd degree of symmetric groups

31 citations · 54 across the 28 of their papers we have counts for

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Showing 2017Show all

7 papers · 1 filter

math.RT2017★ 1 cited

On permutation characters and Sylow -subgroups of

Eugenio Giannelli, Stacey Law

Let be an odd prime and let be a natural number. In this article we determine the irreducible constituents of the permutation module induced by the action of the symmetric…

math.RT2017

Hook removal operators on the odd Young graph

Christine Bessenrodt, Eugenio Giannelli, Jorn B. Olsson

In this article we consider hook removal operators on odd partitions, i.e., partitions labelling odd-degree irreducible characters of finite symmetric groups. In particular we comp…

math.RT2017

Even degree characters in principal blocks

Eugenio Giannelli, Gunter Malle, Carolina Vallejo

We characterise finite groups such that for an odd prime all the irreducible characters in its principal -block have odd degree. We show that this situation does not occur i…

math.RT2017

Alperin-McKay natural correspondences in solvable and symmetric groups for the prime

Eugenio Giannelli, John Murray, Joan Tent

Let be a finite solvable or symmetric group and let be a -block of . We construct a canonical correspondence between the irreducible characters of height zero in …

math.RT2017

On the -subgraph of the Young graph

Eugenio Giannelli, Stacey Law, Stuart Martin

Let be a prime number. In this article we study the restriction to of irreducible characters of degree coprime to of . In particular, w…

math.RT2017★ 4 cited

Restriction of Odd Degree Characters of

Christine Bessenrodt, Eugenio Giannelli, Jorn B. Olsson

Let and be natural numbers such that . We study the restriction to of odd-degree irreducible characters of the symmetric group $\mathfrak{S}…