The Alperin weight conjecture is central to the modern representation theory of finite groups,
and it is still open, despite many different approaches from different points of view. This …

We work towards a version of generalized Harish-Chandra theory compatible with Clifford
theory and with the action of automorphisms on irreducible characters. This provides a …

We establish the inductive blockwise Alperin weight condition for simple groups of Lie type
and the bad prime. As a main step, we derive a labelling set for the irreducible-Brauer …

The inductive blockwise Alperin weight condition for PSp2n(q) and odd primes -
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Equivariant correspondences and the inductive Alperin weight condition for type 𝖠 Page 1
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY Volume 374, Number 12 …

The Alperin weight conjecture was reduced to simple groups by the work of Navarro–Tiep
and Späth. To prove Alperin weight conjecture, it suffices to show that all finite non-abelian …

In this paper we prove the blockwise Alperin weight conjecture for finite special linear and
unitary groups, for finite groups with abelian Sylow 3-subgroups, and verify the inductive …

We show that the decomposition matrix of a given group $ G $ is unitriangular, whenever $
G $ has a normal subgroup $ N $ such that the decomposition matrix of $ N $ is …

In this paper characters of the normaliser of d-split Levi subgroups in Sp2n (q) are
parametrised with a particular focus on the Clifford theory between the Levi subgroup and its …

Radical subgroups play an important role in both group theory and representation theory. In
this paper we present a strategy of classifying radical subgroups of finite reductive groups …