Zobrazeno 1 - 10
of 87
pro vyhledávání: '"Lassueur, Caroline"'
Autor:
Lassueur, Caroline, Murray, John
Let $p$ be an odd prime and let $\mathbf{B}$ be a $p$-block of a finite group, such that $\mathbf{B}$ has cyclic defect groups. We describe the self-dual indecomposable $\mathbf{B}$-modules and for each such module determine whether it is symplectic
Externí odkaz:
http://arxiv.org/abs/2409.05562
Autor:
Boehmler, Bernhard, Lassueur, Caroline
Let $p$ be a prime number. We compute the trivial source character tables of finite Frobenius groups $G$ with an abelian Frobenius complement $H$ and an elementary abelian Frobenius kernel of order $p^2$. More precisely, we deal with all infinite fam
Externí odkaz:
http://arxiv.org/abs/2403.14571
We classify principal $2$-blocks of finite groups $G$ with Sylow $2$-subgroups isomorphic to a wreathed $2$-group $C_{2^n}\wr C_2$ with $n\geq 2$ up to Morita equivalence and up to splendid Morita equivalence. As a consequence, we obtain that Puig's
Externí odkaz:
http://arxiv.org/abs/2310.13621
Autor:
Farrell, Niamh, Lassueur, Caroline
We compute the trivial source character tables (also called species tables of the trivial source ring) of the infinite family of finite groups $\text{SL}_{2}(q)$ for $q$ even, over a large enough field $k$ of positive characteristic ${\ell}$ not divi
Externí odkaz:
http://arxiv.org/abs/2205.01401
Autor:
Hiss, Gerhard, Lassueur, Caroline
We investigate the source algebra class of a p-block with cyclic defect groups of the group algebra of a finite group. By the work of Linckelmann this class is parametrized by the Brauer tree of the block together with a sign function on its vertices
Externí odkaz:
http://arxiv.org/abs/2205.00958
We compute the trivial source character tables (also called species tables of the trivial source ring) of the infinite family of finite groups SL(2,q) over a large enough field of positive characteristic $\ell$ via character-theoretical methods in th
Externí odkaz:
http://arxiv.org/abs/2107.06241
We classify principal blocks of finite groups with semidihedral defect groups up to splendid Morita equivalence. This completes the classification of all principal $2$-blocks of tame representation type up to splendid Morita equivalence and shows tha
Externí odkaz:
http://arxiv.org/abs/2010.08541
Autor:
Koshitani, Shigeo, Lassueur, Caroline
We finish off the classification of the endo-trivial modules of finite groups with Sylow $2$-subgroups isomorphic to a semi-dihedral $2$-group started by Carlson, Mazza and Th\'evenaz in their article "Endotrivial modules over groups with quaternion
Externí odkaz:
http://arxiv.org/abs/2009.07666
Autor:
Koshitani, Shigeo, Lassueur, Caroline
We describe the ordinary characters of trivial source modules lying in blocks with cyclic defect groups relying on their recent classification in terms of paths on the Brauer tree by G.~Hiss and the second author. In particular, we show how to recove
Externí odkaz:
http://arxiv.org/abs/2003.05243
Autor:
Hiss, Gerhard, Lassueur, Caroline
Relying on the classification of the indecomposable liftable modules in arbitrary blocks with non-trivial cyclic defect groups we give a complete classification of the trivial source modules lying in such blocks, describing in particular their associ
Externí odkaz:
http://arxiv.org/abs/1908.07833