TY - JOUR
T1 - Morita equivalence classes of principal blocks with elementary abelian defect groups of order 64
AU - Ardito, Cesare Giulio
N1 - Funding Information:
Received September 6, 2020 Revised October 1, 2020 Accepted October 5, 2020 Funding Agency: This paper is part of the work done by the author during his PhD at the University of Manchester, supported by a Manchester Research Scholar Award and a President’s Doctoral Scholar Award. Cesare Giulio Ardito, Department of Mathematics, City University of London, Northampton Square, London, EC1V 0HB, United Kingdom, email: [email protected] . Cite this article as: Cesare Giulio Ardito, Morita equivalence classes of principal blocks with elementary abelian defect groups of order 64, Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2021, vol. 27, no. 1, pp. 220–239 .
Publisher Copyright:
© 2021 Krasovskii Institute of Mathematics and Mechanics. All rights reserved.
PY - 2021/3/3
Y1 - 2021/3/3
N2 - We classify the Morita equivalence classes of principal blocks with elementary abelian defect groups of order 64 with respect to a complete discrete valuation ring with an algebraically closed residue field of characteristic two.
AB - We classify the Morita equivalence classes of principal blocks with elementary abelian defect groups of order 64 with respect to a complete discrete valuation ring with an algebraically closed residue field of characteristic two.
KW - Block theory
KW - Donovan's conjecture
KW - Finite groups
KW - Modular representation theory
KW - Morita equivalence
U2 - 10.21538/0134-4889-2021-27-1-220-239
DO - 10.21538/0134-4889-2021-27-1-220-239
M3 - Article
VL - 27
SP - 220
EP - 239
JO - Труды Института математики и механики УрО РАН
JF - Труды Института математики и механики УрО РАН
IS - 1
ER -