Zobrazeno 1 - 10
of 14 233
pro vyhledávání: '"LIE TYPE"'
Autor:
Stroppel, Markus J.
We construct a model of the Hermitian unital of order 3 (obtained from the non-degenerate hermitian form in three variables over the field of order 9) inside the octonion algebra over the field of order 2. This construction is invariant under the aut
Externí odkaz:
http://arxiv.org/abs/2412.09081
Autor:
Eteve, Arnaud
Let $\mathbf{G}$ be a connected reductive group over a finite field $\mathbb{F}_q$ of characteristic $p > 0$. In this paper, we study a category which we call Deligne--Lusztig category $\mathcal{O}$ and whose definition is similar to category $\mathc
Externí odkaz:
http://arxiv.org/abs/2412.13326
Autor:
Dona, Daniele
The Liebeck-Nikolov-Shalev conjecture [LNS12] asserts that, for any finite simple non-abelian group $G$ and any set $A\subseteq G$ with $|A|\geq 2$, $G$ is the product of at most $N\frac{\log|G|}{\log|A|}$ conjugates of $A$, for some absolute constan
Externí odkaz:
http://arxiv.org/abs/2409.11246
Autor:
Skresanov, Saveliy V.
We show that some classical results on expander graphs imply growth results on normal subsets in finite simple groups. As one application, it is shown that given a nontrivial normal subset $ A $ of a finite simple group $ G $ of Lie type of bounded r
Externí odkaz:
http://arxiv.org/abs/2406.12506
Autor:
Tong-Viet, Hung P.
Let $G$ be a finite group and let $\textrm{cd}(G)$ be the set of all complex irreducible character degrees of $G.$ In this paper, we show that if $\textrm{cd}(G)=\textrm{cd}(H),$ where $H$ is a finite simple exceptional group of Lie type, then $G\con
Externí odkaz:
http://arxiv.org/abs/2405.07422