Zobrazeno 1 - 10
of 57
pro vyhledávání: '"Silvio Dolfi"'
Publikováno v:
Journal of Algebra. 614:825-847
We prove that the function $\mathrm{P}_{\mathrm{v}}(G)$, measuring the proportion of the elements of a finite group $G$ that are zeros of irreducible characters of $G$, takes very sparse values in a large segment of the $[0,1]$ interval.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d7907bd328e49f44643d2dd582f5e35b
https://doi.org/10.1016/j.jalgebra.2022.10.010
https://doi.org/10.1016/j.jalgebra.2022.10.010
Publikováno v:
Annali di Matematica Pura ed Applicata (1923 -).
Let $G$ be a finite group. Denoting by ${\rm{cd}}(G)$ the set of the degrees of the irreducible complex characters of $G$, we consider the {\it character degree graph} of $G$: this is the (simple, undirected) graph whose vertices are the prime diviso
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f5cd02ddc34a6c8ca8af10f167a0d03e
https://doi.org/10.1007/s10231-023-01328-9
https://doi.org/10.1007/s10231-023-01328-9
Publikováno v:
Israel Journal of Mathematics. 244:775-805
Let $G$ be a finite group, and let $\Delta(G)$ be the prime graph built on the set of conjugacy class sizes of $G$: this is the simple undirected graph whose vertices are the prime numbers dividing some conjugacy class size of $G$, two vertices $p$ a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cabaccea6899bfda701784e156820667
https://doi.org/10.1007/s11856-021-2193-2
https://doi.org/10.1007/s11856-021-2193-2
Publikováno v:
Journal of Pure and Applied Algebra. 224:725-731
Let G be a finite group, and let cd ( G ) denote the set of degrees of the irreducible complex characters of G . The degree graph Δ ( G ) of G is defined as the simple undirected graph whose vertex set V ( G ) consists of the prime divisors of the n
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6b7ffc4ee782f99f2a91627ebc203a64
https://doi.org/10.1016/j.jpaa.2019.06.006
https://doi.org/10.1016/j.jpaa.2019.06.006
Publikováno v:
Journal of Algebra. 542:35-42
Let G be a finite group, and let cs ( G ) denote the set of sizes of the conjugacy classes of G. The prime graph built on cs ( G ) , that we denote by Δ ( G ) , is the (simple undirected) graph whose vertices are the prime divisors of the numbers in
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::914ab89bfcfedf73f452838734c89534
https://doi.org/10.1016/j.jalgebra.2019.09.022
https://doi.org/10.1016/j.jalgebra.2019.09.022
Let G G be a finite group, and p p a prime number; a character of G G is called p p -constant if it takes a constant value on all the elements of G G whose order is divisible by p p . This is a generalization of the very important concept of characte
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d0f4e57b643e7819c045eb921984dd12
http://hdl.handle.net/2158/1234474
http://hdl.handle.net/2158/1234474
For an irreducible complex character χ of the finite group G, let π ( χ ) denote the set of prime divisors of the degree χ ( 1 ) of χ. Denote then by ρ ( G ) the union of all the sets π ( χ ) and by σ ( G ) the largest value of | π ( χ ) |
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::65203fdb699646562f112bd34e0e574d
Let [Formula: see text] be a [Formula: see text]-power where [Formula: see text] is a fixed prime. In this paper, we look at the [Formula: see text]-power maps on unitriangular group [Formula: see text] and triangular group [Formula: see text]. In th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::91cc62969f9c1a1b3969fe540f8f4fb7
Given a finite group $$G$$, let $$\mathrm{cd}(G)$$ denote the set of degrees of the irreducible complex characters of $$G$$. The character degree graph of $$G$$ is defined as the simple undirected graph whose vertices are the prime divisors of the nu
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e78f0eca1c0032b097ca39a88b005b54
http://arxiv.org/abs/1809.10415
http://arxiv.org/abs/1809.10415
Let G be a finite group, and let cd ( G ) denote the set of degrees of the irreducible complex characters of G. This paper is a contribution to the study of the degree graph of G, that is, the prime graph built on the set cd ( G ) . Namely, we charac
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d26d0372eac71b2c59ace8257afeb28a
http://hdl.handle.net/2158/1134938
http://hdl.handle.net/2158/1134938