Zobrazeno 1 - 10
of 83
pro vyhledávání: '"Lucia Sanus"'
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
Autor:
Noelia Rizo, Lucia Sanus
Publikováno v:
Annali di Matematica Pura ed Applicata (1923 -). 200:1297-1300
We extend Thompson’s theorem by taking into account real-valued irreducible characters. In particular, we prove that if G is a finite group generated by its 2-elements and there is an odd prime p dividing the order of the group G, then there is a n
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e5728fa066566b541a99385fd98ed917
https://doi.org/10.1007/s10231-020-01038-6
https://doi.org/10.1007/s10231-020-01038-6
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
Publikováno v:
Scopus
Suppose that $B$ is a Brauer $p$-block with defect group $D$. If $B$ exactly contains 4 irreducible characters, then we show that $D$ has order 4 or 5, assuming the Alperin--McKay conjecture.
There is a gap in the final step
There is a gap in the final step
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::589543d9244acb2b90f0cc10aa945347
http://hdl.handle.net/10651/67570
http://hdl.handle.net/10651/67570
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
Autor:
Gabriel Navarro, Lucia Sanus
Publikováno v:
Mediterranean Journal of Mathematics. 15
Suppose that P is a Sylow p-subgroup of G. We study irreducible characters of P that are constant on G-fused classes.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2048c6057ec9807e066806564cb086c0
https://doi.org/10.1007/s00009-018-1270-1
https://doi.org/10.1007/s00009-018-1270-1
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
Publikováno v:
Group Theory and Computation ISBN: 9789811320460
We survey some results concerning the distribution of zeros in the character table of a finite group and its influence on the structure of the group itself.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cd917526079d37dc0295eefa2f5d6b89
http://hdl.handle.net/2158/1182509
http://hdl.handle.net/2158/1182509