Caroline Lassueur

activity

20132026

most citedEndotrivial modules for the sporadic simple groups and their covers

11 citations · 22 across the 17 of their papers we have counts for

collaborators

23 papers

math.RT2026

On the source algebra equivalence class of blocks with cyclic defect groups, III

Gerhard Hiss, Caroline Lassueur

This series of papers is a contribution to the program of classifying $p$ -blocks of finite groups up to source algebra equivalence, starting with the case of cyclic blocks. To any…

math.RT2025

On the source algebra equivalence class of blocks with cyclic defect groups, II

Gerhard Hiss, Caroline Lassueur

This series of papers is a contribution to the program of classifying $p$ -blocks of finite groups up to source algebra equivalence, starting with the case of cyclic blocks. To any…

math.RT2024

The self-dual indecomposable modules in blocks with cyclic defect groups

Caroline Lassueur, John Murray

Let $p$ be an odd prime and let $B$ be a $p$ -block of a finite group, such that $B$ has cyclic defect groups. We describe the self-dual indecomposable $\mathbf{B}…

math.RT2024

Trivial source character tables of Frobenius groups of type $(C_{p} \times C_{p}) ⋊ H$

Bernhard Böhmler, Caroline Lassueur

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 Frobeniu…

math.RT2023

Principal 2-blocks with wreathed defect groups up to splendid Morita equivalence

Shigeo Koshitani, Caroline Lassueur, Benjamin Sambale

We classify principal $2$ -blocks of finite groups $G$ with Sylow $2$ -subgroups isomorphic to a wreathed $2$ -group $C_{2^{n}} ≀ C_{2}$ with $n \geq 2$ up to Morita equivalence and up to…

math.RT2022

Trivial source character tables of $SL_{2} (q)$ , Part II

Niamh Farrell, Caroline Lassueur

We compute the trivial source character tables (also called species tables of the trivial source ring) of the infinite family of finite groups $SL_{2} (q)$ for $q$ even, over…

math.GR2022

On the source algebra equivalence class of blocks with cyclic defect groups, I

Gerhard Hiss, Caroline Lassueur

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…

math.RT2021

Trivial source character tables of SL(2,q)

Bernhard Böhmler, Niamh Farrell, Caroline Lassueur

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…

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 $2$ -blocks of ta…

math.RT2020

Trivial source endo-trivial modules for finite groups with a semi-dihedral Sylow $2$ -subgroup

Shigeo Koshitani, Caroline Lassueur

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 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.RT2019

The classification of the trivial source modules in blocks with cyclic defect groups

Gerhard Hiss, Caroline Lassueur

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 sour…

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 $2$ -subgroups realised by Scott modules can be lifted to splendid Morita eq…

math.RT2018

On the lifting of the Dade group

Caroline Lassueur, Jacques Thévenaz

For the group of endo-permutation modules of a finite $p$-group, there is a surjective reduction modulo $p$ homomorphism from a complete discrete valuation ring of characterist…

math.RT2017

Splendid Morita equivalences for principal 2-blocks with dihedral defect groups

Shigeo Koshitani, Caroline Lassueur

Given a dihedral $2$ -group $P$ of order at least~8, we classify the splendid Morita equivalence classes of principal $2$ -blocks with defect groups isomorphic to $P$ . To this end we…

math.RT2017★ 6 cited

Lifting endo- $p$ -permutation modules

Caroline Lassueur, Jacques Thévenaz

We prove that all endo- $p$ -permutation modules for a finite group are liftable from characteristic $p > 0$ to characteristic $0$ .

math.RT2017★ 2 cited

Simple modules in the Auslander-Reiten quiver of principal blocks with abelian defect groups

Shigeo Koshitani, Caroline Lassueur

Given an odd prime $p$ , we investigate the position of simple modules in the stable Auslander-Reiten quiver of the principal block of a finite group with non-cyclic abelian Sylow $…

math.RT2015

Endo-trivial modules for finite groups with dihedral Sylow 2-subgroup

Shigeo Koshitani, Caroline Lassueur

Let $k$ be an algebraically closed field of characteristic $p > 0$ and $G$ a finite group. We provide a description of the torsion subgroup $T T (G)$ of the finitely generated abelian…

math.GR2015★ 11 cited

Endotrivial modules for the sporadic simple groups and their covers

Caroline Lassueur, Nadia Mazza

In a step towards the classification of endotrivial modules for quasi-simple groups, we investigate endotrivial modules for the sporadic simple groups and their covers. A main outc…

math.RT2015

Endotrivial modules for the Schur covers of the symmetric and alternating groups

Caroline Lassueur, Nadia Mazza

We investigate the endotrivial modules for the Schur covers of the symmetric and alternating groups and determine the structure of their group of endotrivial modules in all charact…

math.RT2015

Simple endotrivial modules for linear, unitary and exceptional groups

Caroline Lassueur, Gunter Malle

Motivated by a recent result of Robinson showing that simple endotrivial modules essentially come from quasi-simple groups we classify such modules for finite special linear and un…

math.RT2013

Endo-trivial modules for finite groups with Klein-four Sylow 2-subgroups

Shigeo Koshitani, Caroline Lassueur

We study the finitely generated abelian group $T (G)$ of endo-trivial $k G$ -modules where $k G$ is the group algebra of a finite group $G$ over a field of characteristic $p > 0$ . When t…

math.GR2013★ 3 cited

Simple endotrivial modules for quasi-simple groups

Caroline Lassueur, Gunter Malle, Elisabeth Schulte

We investigate simple endotrivial modules of finite quasi-simple groups and classify them in several important cases. This is motivated by a recent result of Robinson showing that…

On the source algebra equivalence class of blocks with cyclic defect groups, III

On the source algebra equivalence class of blocks with cyclic defect groups, II

The self-dual indecomposable modules in blocks with cyclic defect groups

Trivial source character tables of Frobenius groups of type (Cp​×Cp​)⋊H

Principal 2-blocks with wreathed defect groups up to splendid Morita equivalence

Trivial source character tables of SL2​(q), Part II

On the source algebra equivalence class of blocks with cyclic defect groups, I

Trivial source character tables of SL(2,q)

Splendid Morita equivalences for principal blocks with semidihedral defect groups

Trivial source endo-trivial modules for finite groups with a semi-dihedral Sylow 2-subgroup

Trivial source characters in blocks with cyclic defect groups

The classification of the trivial source modules in blocks with cyclic defect groups

Splendid Morita equivalences for principal blocks with generalised quaternion defect groups

On the lifting of the Dade group

Splendid Morita equivalences for principal 2-blocks with dihedral defect groups

Lifting endo-p-permutation modules

Simple modules in the Auslander-Reiten quiver of principal blocks with abelian defect groups

Endo-trivial modules for finite groups with dihedral Sylow 2-subgroup

Endotrivial modules for the sporadic simple groups and their covers

Endotrivial modules for the Schur covers of the symmetric and alternating groups

Simple endotrivial modules for linear, unitary and exceptional groups

Endo-trivial modules for finite groups with Klein-four Sylow 2-subgroups

Simple endotrivial modules for quasi-simple groups

Trivial source character tables of Frobenius groups of type $(C_{p} \times C_{p}) ⋊ H$

Trivial source character tables of $SL_{2} (q)$ , Part II

Trivial source endo-trivial modules for finite groups with a semi-dihedral Sylow $2$ -subgroup

Lifting endo- $p$ -permutation modules