The classification of the finite simple groups is considered as one of the greatest
achievements in mathematics of the twentieth century. The result provides the most basic …

We give a lower bound on the Loewy length of a p-block of a finite group in terms of its
defect. We then discuss blocks with small Loewy length. Since blocks with Loewy length at …

Finite groups with two conjugacy classes of p-elements and related questions for p-blocks |
Bulletin of the London Mathematical Society | Oxford Academic Skip to Main Content …

The purpose of this note is to add to the evidence that the algebra structure of ap-block of a
finite group is closely related to the Lie algebra structure of its first Hochschild cohomology …

This paper is an introduction and a survey to the concept of perfect isometries which was first
introduced by Michel Broué in 1990. Our main aim is to provide proofs of numerous results …

For a block B of a finite group we prove that k (B) ≤ (\rm det C-1)/l (B)+ l (B) ≤\rm det C k
(B)≤(det C-1)/l (B)+ l (B)≤ det C where k (B) respectively l (B) is the number of irreducible …

Let B be a block of a finite group with respect to an algebraically closed field F of
characteristic p> 0. In a recent paper, Otokita gave an upper bound for the Loewy length LL …

We show that the varieties of the Hochschild cohomology of a block algebra and its block
cohomology are isomorphic, implying positive answers to questions of Pakianathan and …

We prove Brauer's k (B)-Conjecture for the 3-blocks with abelian defect groups of rank at
most 5 and for all 3-blocks of defect at most 4. For this purpose we develop a computer …

For a prime $ p $, we determine a Sylow $ p $-subgroup $ D $ of a finite group $ G $ such
that the principal $ p $-block $ B $ of $ G $ has four irreducible ordinary characters. It has …