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20052026
most citedWeight conjectures for fusion systems

13 citations · 49 across the 28 of their papers we have counts for

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Showing 2010Show all

5 papers · 1 filter

math.RT2010

Bounds for Hochschild cohomology of block algebras

Radha Kessar, Markus Linckelmann

We show that for any block algebra B of a finite group over an algebraically closed field of prime characteristic the dimension of HH^n(B) is bounded by a function depending only o…

math.RT2010

Conjectures of Alperin and Broue for 2-blocks with elementary abelian defect groups of order 8

Radha Kessar, Shigeo Koshitani, Markus Linckelmann

Using the classification of finite simple groups we prove Alperin's weight conjecture and the character theoretic version of Broue's abelian defect group conjecture for 2-blocks of…

math.GR2010★ 10 cited

On blocks stably equivalent to a quantum complete intersection of dimension 9 in characteristic 3 and a case of the abelian defect group conjecture

Radha Kessar

Using a stable equivalence due to Rouquier, we prove that Broue's abelian defect group conjecture holds for 3-blocks of defect 2 whose Brauer correspondent has a unique isomorphism…

math.RT2010

On isotypies between Galois conjugate blocks

Radha Kessar

We show that between any pair of Galois conjugate blocks of finite group algebras, there exists an isotypy with all signs positive.

math.RT2010★ 2 cited

On saturated fusion systems and Brauer indecomposability of Scott modules

Radha Kessar, Naoko Kunugi, Naofumi Mitsuhashi

Let be a prime number, a finite group, a -subgroup of and an algebraically closed field of characteristic . We study the relationship between the category…