Zobrazeno 1 - 10
of 38
pro vyhledávání: '"Eugenio Giannelli"'
Autor:
Eugenio Giannelli
Publikováno v:
Journal of Algebra and Its Applications.
We verify a conjecture proposed by Qian on character codegrees in the case of symmetric and alternating groups.
Publikováno v:
Journal of Algebra. 594:170-193
Autor:
Eugenio Giannelli
Publikováno v:
Algebra & Number Theory. 15:1809-1835
We study fields of values of the restriction to Sylow subgroups of irreducible characters of the normalizers of Sylow subgroups in symmetric and alternating groups. As an application, we show that these classes of groups admit a McKay bijection that
Publikováno v:
Oberwolfach Reports. 17:517-568
Autor:
Elena Meini, Eugenio Giannelli
Publikováno v:
Archiv der Mathematik. 116:161-170
Given two primes p and q, we study degrees and rationality of irreducible characters in the principal p-block of $${\mathfrak {S}}_n$$ S n and $${\mathfrak {A}}_n$$ A n , the symmetric and alternating groups. In particular, we show that such a block
We prove that a finite group $G$ has a normal Sylow $p$-subgroup $P$ if, and only if, every irreducible character of $G$ appearing in the permutation character $({\bf 1}_P)^G$ with multiplicity coprime to $p$ has degree coprime to $p$. This confirms
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9929eff849b253075fe691003bffa4af
Autor:
Stacey Law, Eugenio Giannelli
Publikováno v:
Journal of the London Mathematical Society. 103:697-728
Let $p\ge 5$ be a prime and let $n$ be a natural number. In this article we describe the irreducible constituents of the induced characters $\phi\big\uparrow^{\mathfrak{S}_n}$ for arbitrary linear characters $\phi$ of a Sylow $p$-subgroup of the symm
Autor:
Eugenio Giannelli, Benjamin Sambale
Publikováno v:
Journal of Algebra. 558:423-433
We put forward a blockwise version of a recent conjecture of [6] on finite groups. Let B be a p-block of a finite group G with defect group D. Let χ ∈ Irr ( B ) be a character with positive height. In this note we conjecture that the number of dis
Publikováno v:
Proceedings of the American Mathematical Society. 148:4597-4614
Let p ≥ 5 p\ge 5 be a prime and let G G be a finite group. We prove that G G is p p -solvable of p p -length at most 2 2 if there are at most two distinct p ′ p’ -character degrees in the principal p p -block of G G . This generalizes a theorem
Autor:
Eugenio Giannelli, Alexander R. Miller
Publikováno v:
Journal of Algebra. 531:336-348
Recent results of Ayyer–Prasad–Spallone and Isaacs–Navarro–Olsson–Tiep on odd-degree character restrictions for symmetric groups are extended to reflection groups G ( r , p , n ) .