Zobrazeno 1 - 10 of 294 pro vyhledávání: '"Pham Huu Tiep"'
1
Akademický článek
The fields of values of characters of degree not divisible by p
Autor: Gabriel Navarro, Pham Huu Tiep
Publikováno v: Forum of Mathematics, Pi, Vol 9 (2021)
We study the fields of values of the irreducible characters of a finite group of degree not divisible by a prime p. In the case where $p=2$, we fully characterise these fields. In order to accomplish this, we generalise the main result of [ILNT] to h
Externí odkaz: https://doaj.org/article/4236e4616980488c921a1e50a04d17a6
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2
Akademický článek
CHARACTER LEVELS AND CHARACTER BOUNDS
Autor: ROBERT M. GURALNICK, MICHAEL LARSEN, PHAM HUU TIEP
Publikováno v: Forum of Mathematics, Pi, Vol 8 (2020)
We develop the concept of character level for the complex irreducible characters of finite, general or special, linear and unitary groups. We give characterizations of the level of a character in terms of its Lusztig label and in terms of its degree.
Externí odkaz: https://doaj.org/article/d2c7bcb5c16e41ce9294fcd7d51fd17f
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3
Akademický článek
THE ${\it\alpha}$ -INVARIANT AND THOMPSON’S CONJECTURE
Autor: PHAM HUU TIEP
Publikováno v: Forum of Mathematics, Pi, Vol 4 (2016)
In 1981, Thompson proved that, if $n\geqslant 1$ is any integer and $G$ is any finite subgroup of $\text{GL}_{n}(\mathbb{C})$ , then $G$ has a semi-invariant of degree at most $4n^{2}$ . He conjectured that, in fact, there is a universal constan
Externí odkaz: https://doaj.org/article/fd25b7401d7d47649a60ca04fd15dac8
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4
Akademický článek
A REFINED WARING PROBLEM FOR FINITE SIMPLE GROUPS
Autor: MICHAEL LARSEN, PHAM HUU TIEP
Publikováno v: Forum of Mathematics, Sigma, Vol 3 (2015)
Let $w_{1}$ and $w_{2}$ be nontrivial words in free groups $F_{n_{1}}$ and $F_{n_{2}}$, respectively. We prove that, for all sufficiently large finite nonabelian simple groups $G$, there exist subsets $C_{1}\subseteq w_{1}(G)$ and $C_{2}\subseteq w_{
Externí odkaz: https://doaj.org/article/72a24d4179a447d495029c686283ed98
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10
Elektronická kniha
Finite Groups 2003 : Proceedings of the Gainesville Conference on Finite Groups, March 6 - 12, 2003
Autor: Chat Yin Ho, Peter Sin, Pham Huu Tiep, Alexandre Turull
This is a volume of research articles related to finite groups. Topics covered include the classification of finite simple groups, the theory of p-groups, cohomology of groups, representation theory and the theory of buildings and geometries. As well
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