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pro vyhledávání: '"Keilberg, P"'
Akademický článek
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Autor:
Keilberg, Marc
Let $p$ be an odd prime with $p\equiv1\bmod 4$. Then for any odd power $q$ of $p$ and a positive integer $j$ we show that the groups $\text{Sp}_{p^j+1}(q),\text{PSp}_{p^j+1}(q)$, and their Sylow $p$-subgroups are non-$FSZ_{p^j}$.
Comment: 24 pag
Comment: 24 pag
Externí odkaz:
http://arxiv.org/abs/1901.11320
Autor:
Keilberg, Marc
We study the categorical notion of braid gauging and obtain its classical Hopf algebraic description. We demonstrate how braid gauging can provide new insights on certain categorical invariants, such as the fusion rules and the higher Frobenius-Schur
Externí odkaz:
http://arxiv.org/abs/1708.06583
Autor:
Keilberg, Marc
Publikováno v:
Journal of Algebra, Volume 529, 1 July 2019, Pages 89-113
We show that any group $G$ with a non-$FSZ_m$ quotient by a central cyclic subgroup also provides a non-$FSZ_m$ group of order $m|G|$ obtained as a central product of $G$ with a cyclic group. We then construct, for every prime $p>3$ and $j\in\mathbb{
Externí odkaz:
http://arxiv.org/abs/1704.05196
Akademický článek
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Autor:
Keilberg, Marc
We investigate a possible connection between the $FSZ$ properties of a group and its Sylow subgroups. We show that the simple groups $G_2(5)$ and $S_6(5)$, as well as all sporadic simple groups with order divisible by $5^6$ are not $FSZ$, and that ne
Externí odkaz:
http://arxiv.org/abs/1610.03625
Autor:
Keilberg, Marc
For any prime $p>3$ and $j\in\mathbb{N}$ we construct examples of non-$FSZ_{p^j}$ groups of order $p^{p^j+2j-1}$. In the special case of $j=1$ this yields groups of order $p^{p+1}$, which is the minimum possible order for a non-$FSZ$ $p$-group.
Externí odkaz:
http://arxiv.org/abs/1610.00066
Autor:
Keilberg, Marc
We prove several results concerning quasi-bialgebra morphisms $\mathcal{D}^\omega(G)\to\mathcal{D}^\eta(H)$ of twisted group doubles. We take a particular focus on the isomorphisms which are simultaneously isomorphisms $\mathcal{D}(G)\to\mathcal{D}(H
Externí odkaz:
http://arxiv.org/abs/1605.00254
Autor:
Keilberg, Marc
We give a classification of all quasitriangular structures and ribbon elements of $\mathcal{D}(G)$ explicitly in terms of group homomorphisms and central subgroups. This can equivalently be interpreted as an explicit description of all braidings with
Externí odkaz:
http://arxiv.org/abs/1411.7598
Autor:
Kuo, James, Uzunovic, Jasmina, Jacobson, Amanda, Dourado, Michelle, Gierke, Sarah, Rajendram, Manohary, Keilberg, Daniela, Mar, Jordan, Stekol, Emily, Curry, Joanna, Verstraete, Sofia, Lund, Jessica, Liang, Yuxin, Tamburini, Fiona B, Omattage, Natalie S, Masureel, Matthieu, Rutherford, Steven T, Hackos, David H, Tan, Man-Wah, Byrd, Allyson L
Publikováno v:
Journal of Crohn's & Colitis; Jul2024, Vol. 18 Issue 7, p985-1001, 17p