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Journal of Group Theory | 2012

2-Blocks with minimal nonabelian defect groups II

Charles W. Eaton; Burkhard Külshammer; Benjamin Sambale

We determine the structure of 2-blocks with minimal nonabelian defect groups, by making use of the classification of finite simple groups.


Crelle's Journal | 2011

Nilpotent blocks of quasisimple groups for odd primes

Jianbei An; Charles W. Eaton

Abstract We investigate the nilpotent blocks of positive defect of the quasisimple groups for odd primes. In particular, it is shown that every nilpotent block of a quasisimple group has abelian defect groups. A conjecture of Puig concerning the recognition of nilpotent blocks is also shown for these groups.


Advances in Mathematics | 2014

2-blocks with abelian defect groups

Charles W. Eaton; Radha Kessar; Burkhard Külshammer; Benjamin Sambale


Mathematische Zeitschrift | 2011

The structure of blocks with a Klein four defect group

David A. Craven; Charles W. Eaton; Radha Kessar; Markus Linckelmann


Journal of Group Theory | 2000

The p-local Rank of a Block

Jianbei An; Charles W. Eaton


International Mathematics Research Notices | 2014

Extending Brauer's Height Zero Conjecture to Blocks with Nonabelian Defect Groups

Charles W. Eaton; Alexander Moretó


Algebras and Representation Theory | 2005

Modular representation theory of blocks with trivial intersection defect groups

Jianbei An; Charles W. Eaton


Archiv der Mathematik | 2003

Generalisations of conjectures of Brauer and Olsson

Charles W. Eaton


arXiv: Representation Theory | 2016

Morita equivalence classes of 2-blocks of defect three

Charles W. Eaton


Journal of Algebra | 2002

On a minimal counterexample to Dade's projective conjecture

Charles W. Eaton; Geoffrey R. Robinson

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