2 citations · 5 across the 6 of their papers we have counts for
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math.RT2016
On centers of blocks with non-cyclic defect groups
Yoshihiro Otokita
In this short note we study the center ZB of a block B of a finite group over an algebraically closed field of prime characteristic through its Loewy length llZB. A result of Okuya…
math.RT2016★ 1 cited
Some studies on Loewy lengths of centers of p-blocks
Yoshihiro Otokita
In this paper, we investigate some relations between the Loewy lengths of the centers of blocks of group algebras and its defect groups. In particular, we give a new upper bound of…
math.RT2016★ 2 cited
On diagonal entries of Cartan matrices of p-blocks
Yoshihiro Otokita
In this short note, we show some inequalities on Cartan matrices, centers and socles of blocks of group algebras. Our main theorems are generalizations of the facts on dimension of…