Zobrazeno 1 - 10
of 199
pro vyhledávání: '"Koshitani, Shigeo"'
Autor:
Koshitani, Shigeo, Tuvay, İpek
It is proven that if a finite group $G$ has a normal subgroup $H$ with $p'$-index (where $p$ is a prime) and $G/H$ is solvable, then for a $p$-subgroup $P$ of $H$, if the Scott $kH$-module with vertex $P$ is Brauer indecomposable, then so is the Scot
Externí odkaz:
http://arxiv.org/abs/2409.00403
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:
Koshitani, Shigeo, Tuvay, İpek
We give a handy way to have a situation that the $kG$-Scott module with vertex $P$ remains indecomposable under taking the Brauer construction for any subgroup $Q$ of $P$ as $k[Q\,C_G(Q)]$-module, where $k$ is a field of characteristic $p>0$. The mot
Externí odkaz:
http://arxiv.org/abs/2212.07062
Autor:
Koshitani, Shigeo, Tuvay, İpek
We give a sufficient condition for the $kG$-Scott module with vertex $P$ to remain indecomposable under taking the Brauer construction for any subgroup $Q$ of $P$ as $k[Q\,C_G(Q)]$-module, where $k$ is a field of characteristic $2$, and $P$ is a wrea
Externí odkaz:
http://arxiv.org/abs/2012.08229
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:
Koshitani, Shigeo, Sakurai, Taro
Publikováno v:
Bulletin of the London Mathematical Society 53(2021) 1124-1138
For a prime $p$, we determine a Sylow $p$-subgroup $D$ of a finite group $G$ such that the principal $p$-block $B$ of $G$ has four irreducible ordinary characters. It has been determined already for the cases where the number is up to three by work b
Externí odkaz:
http://arxiv.org/abs/2001.09970
Autor:
Koshitani, Shigeo, Tuvay, İpek
We present a sufficient condition for the $kG$-Scott module with vertex $P$ to remain indecomposable under the Brauer construction for any subgroup $Q$ of $P$ as $k[Q\,C_G(Q)]$-module, where $k$ is a field of characteristic $2$, and $P$ is a semidihe
Externí odkaz:
http://arxiv.org/abs/1908.05536
Autor:
Koshitani, Shigeo, Lassueur, Caroline
We prove that splendid Morita equivalences between principal blocks of finite groups with dihedral Sylow $2$-subgroups realised by Scott modules can be lifted to splendid Morita equivalences between principal blocks of finite groups with generalised
Externí odkaz:
http://arxiv.org/abs/1807.04497