Shigeo Koshitani, Calorine Lassueur,
Benjamin
Annals of Representation Theory
1, No.3 (2024), pp.439-463
Shigeo Koshitani, Ipek Tuvay: Recognition
of Brauer indecomposability for a Scott module. , To appear in Journal of Algebra and
its Applications.
https://www.worldscientific.com/doi/10.1142/S021949882550015X
Shigeo Koshitani, Caroline Lassueur,
Benjamin Sambale,: Splendid Morita equivalences for
principal blocks with semidihedral defect groups, Proceedings of the
American Mathematical Society 150 (2022), 41—53.
Shigeo Koshitani, Caroline Lassueur: Trivial source
endo-trivial modules for finite groups with a semi-dihedral Sylow 2-subgroup
subgroups , “Beitraege zur Algebra und Geometrie / Contributions to Algebra and Geometry 63(2022), 233--246.
Shigeo Koshitani, Ipek Tuvay: The Brauer indecomposability of Scott modules with wreath 2-group vertices , Rocky Mountain Journal of Mathematics 51 (2021), 1259--1280.
Shigeo Koshitani, Caroline Lassueur:
Trivial source characters in blocks with cyclic defect groups, Journal of Algebra 574 (2021), 375--408. .
Shigeo Koshitani, Ipek Tuvay: The Brauer indecomposability
of Scott modules with semidihedral vertex , Proceedings
of the Edinburgh Mathematical Society
64 (2021), 174—182. https://www.doi.org/10.1017/S0013091521000067
Shigeo Koshitani, Caroline Lassueur:
Splendid Morita equivalences
for principal 2-blocks with generalised quaternion defect groups, Journal of Algebra 558 (2020), 523—533.
Shigeo Koshitani, Caroline Lassueur: Splendid Morita
equivalences for principal 2-blocks with dihedral defect groups, Mathematische
Zeitschrift 294（2020）639—666.
Shigeo Koshitani, Ipek Tuvay: The Brauer indecomposability of Scott modules for the quadratic group Qd(p) , Algebras and Representation Theory 22 (2019), 1387—1397.
Shigeo Koshitani, Caroline Lassueur:
Simple
modules in the Auslander-Reiten quivers of principal blocks with abelian defect
groups , Nagoya Mathematical Journal, 235 (2019),
58--85
The
results of X. Chen and J. Zeng on linear p-Brauer characters, Journal of
Discrete Mathematical Sciences and Cryptography 21 (2018), 1515--1517.
Shigeo Koshitani, Juergen Mueller:
The projective cover of
the trivial representation for finite group of Lie type in defining
characteristic , Algebra Colloquium 24 (2017), 439--452.
Shigeo Koshitani, Britta Spaeth:
Journal of Group Theory 19 (2016), 771--813.
Shigeo Koshitani, Britta Spaeth: The inductive
Alperin-McKay condition for 2-blocks with cyclic defect groups , Archiv der Mathematik 106 (2016),
107--116.
Shigeo Koshitani, Caroline Lassueur: Endo-trivial modules for finite
groups with dihedral Sylow 2-subgroups , Journal of Group Theory 19 (2016),
635--660.
Radha Kessar, Shigeo Koshitani and Markus Linckelmann,:
On the Brauer indecomposability
of Scott module , Quarterly Journal of Mathematics (Oxford Journal), 66
(2015), 895--903.
Radha Kessar, Shigeo Koshitani and Markus Linckelmann,:
On symmetric quotients of
symmetric algebras , Journal of Algebra, 442 (2015), 423--437.
Shigeo Koshitani, Caroline Lassueur: Endo-trivial modules for finite
groups with Klein-four Sylow 2-subgroups , manuscripta
mathematica, 148 (2015), 265--282.
Shigeo Koshitani, Britta Spaeth: Cllifford
theory of characters in induced blocks , Proceedings of the American
Mathematical Society, 143 (2015), 3687--3702.
Shigeo Koshitani: Finite
groups whose first Cartan invariants over a field of characteristic two are two
, Journal of Algebra, 426 (2015), 259--272.
Shigeo Koshitani, Juergen Mueller and Felix Noeske: Broue's abelian defect group
conjecture and 3-decomposition numbers of the sporadic simple Conway group Co_1
, Journal of Pure and Applied Algebra, 219 (2015), 142--160.
Shigeo Koshitani: On the projective cover of the trivial
module over a group agebra of a finite group, Communications in Algebra 42
(2014), 4308-4321
Shigeo Koshitani, Burkhard Kueshammer, Benjamin Sambale: On the
Loewy lengths of blocks , Mathematical Proceedings of the Cambridge
Philosophical Society 156 (2014), 555-570
Shigeo Koshitani, Juergen Mueller and Felix Noeske: Broue's abelian defect group
conjecture for the sporadic simple Janko group J4 revisited , Journal of Agebra 398 (2014) 434--447
Shigeo Koshitani, Juergen Mueller and Felix Noeske: Broue's abelian defect
group conjecture holds for the double cover of the Higman-Sims sporadic simple
group , Journal of Agebra 376 (2013), 152--173
Radha Kessar, Shigeo Koshitani and Markus Linckelmann: Conjectures of Alperin and Broue for 2-blocks
with elementary abelian defect groups of order 8 , Journal fuer
die reine und angewandte Mathematik (Crelle's Journal) 671
(2012), 85--130
Shigeo Koshitani, Juergen Mueller and Felix Noeske: Broue's abelian defect
group conjecture holds for the sporadic simple Conway group Co3 , Journal of Agebra 348 (2011), 354--380
Shigeo Koshitani and Yutaka Yoshii: Eigenvaues of
Cartan matrices of principal 3-bocks of finite groups
with abelian Syow 3-subgroups Journal of Agebra 324 (2010) 1985--1993
Shigeo Koshitani and Juergen Mueller: Broue's abelian defect group conjecture
holds for the Harada-Norton sporadic simple group HN , Journal of Agebra 324 (2010) 394--429
Miles Holloway, Shigeo Koshitani and Naoko Kunugi: Blocks with nonabelian
defect groups which have cyclic subgroups of index p, , Archiv
der Mathematik 94 (2010) 101--116
Shigeo Koshitani and Naoko Kunugi: Trivial source modues
in blocks with cyclic defect groups , Mathematische Zeitschrift 265 (2010) 161-172
Shigeo Koshitani, Naoko Kunugi and Katsushi Waki: Broue's abelian defect group
conjecture holds for the Janko simple group $J_4$ , Journal of Pure and Appied Agebra 212 (2008)
1438-1456
Morton E. Harris and Shigeo Koshitani: An extension of Watanabe's theorem for
the Isaacs-Horimoto-Watanabe corresponding blocks , Journal of Agebra 296 (2006) 96--109
Shigeo Koshitani and Markus Linckemann: The Indecomposability of a certain bimodule given by the Brauer
construction , Journal of Agebra 285 (2005) 726-729
Shigeo Koshitani and Naoko Kunugi: Blocks of central p-group extensions ,
Proceedings of the American Mathematical Society 133 (2005) 21-26
Shigeo Koshitani, Naoko Kunugi and Katsushi Waki: Broue's abelian defect group
conjecture for the Held group and the sporadic Suzuki group , Journal of Agebra 279 (2004) 638-666