13 citations · 49 across the 28 of their papers we have counts for
9 papers · 1 filter
Hochschild cohomology of symmetric groups and generating functions,II
David Benson, Radha Kessar, Markus Linckelmann
We relate the generating functions of the dimensions of the Hochschild cohomology in any fixed degree of the symmetric groups with those of blocks of the symmetric groups. We show…
Hochschild cohomology of symmetric groups in low degrees
David Benson, Radha Kessar, Markus Linckelmann
We compute the dimensions of the Hochschild cohomology of symmetric groups over prime fields in low degrees. This involves us in studying some partition identities and generating f…
A block theoretic proof of Thompson's -Lemma
Radha Kessar, Markus Linckelmann
We show that Thompson's -Lemma can be obtained as a consequence of the Brauer pair version of Brauer's Third Main Theorem.
Anchors of irreducible characters
Radha Kessar, Burkhard Külshammer, Markus Linckelmann
Given a prime number , every irreducible character of a finite group determines a unique conjugacy class of -subgroups of which we will call the anchors of . T…
On symmetric quotients of symmetric algebras
Radha Kessar, Shigeo Koshitani, Markus Linckelmann
We investigate symmetric quotient algebras of symmetric algebras, with an emphasis on finite group algebras over a complete discrete valuation ring . Using elementary…
On the Castelnuovo-Mumford regularity of the cohomology of fusion systems and of the Hochschild cohomology of block algebras
Radha Kessar, Markus Linckelmann
Symonds' proof of Benson's regularity conjecture implies that the regularity of the cohomology of a fusion system and that of the Hochschild cohomology of a p-block of a finite gro…