activity
20092020
most citedBroué's abelian defect group conjecture for the sporadic simple Janko group J_4 revisited

1 citations · 1 across the 2 of their papers we have counts for

collaborators

8 papers

math.RT2020

Splendid Morita equivalences for principal blocks with semidihedral defect groups

Shigeo Koshitani, Caroline Lassueur, Benjamin Sambale

We classify principal blocks of finite groups with semidihedral defect groups up to splendid Morita equivalence. This completes the classification of all principal -blocks of ta…

math.RT2020

Trivial source endo-trivial modules for finite groups with a semi-dihedral Sylow -subgroup

Shigeo Koshitani, Caroline Lassueur

We finish off the classification of the endo-trivial modules of finite groups with Sylow -subgroups isomorphic to a semi-dihedral -group started by Carlson, Mazza and Thévena…

math.RT2020

Trivial source characters in blocks with cyclic defect groups

Shigeo Koshitani, Caroline Lassueur

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…

math.RT2018

Splendid Morita equivalences for principal blocks with generalised quaternion defect groups

Shigeo Koshitani, Caroline Lassueur

We prove that splendid Morita equivalences between principal blocks of finite groups with dihedral Sylow -subgroups realised by Scott modules can be lifted to splendid Morita eq…

math.RT2018

On theorems of Brauer-Nesbitt and Brandt for characterizations of small block algebras

Shigeo Koshitani, Taro Sakurai

In 1941, Brauer-Nesbitt established a characterization of a block with trivial defect group as a block with where is the number of irreducible ordinary charac…

math.RT20121 cited

Broué's abelian defect group conjecture for the sporadic simple Janko group J_4 revisited

Shigeo Koshitani, Jürgen Müller, Felix Noeske

We show that the 3-block of the sporadic simple Janko group J_4 with defect group C_3 x C_3, and the principal 3-block of the alternating group A_8 are Puig equivalent, answering a…