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Parameterization of irreducible characters for p-solvable groups
Lluis Puig
The weights for a finite group G with respect to a prime number p where introduced by Jon Alperin, in order to formulate his celebrated conjecture. In 1992, Everett Dade formulates…
Weight parameterization of simple modules for p-solvable groups
Lluis Puig
The weights for a finite group G with respect to a prime number p where introduced by Jon Alperin, in order to formulate his celebrated conjecture affirming that that the number of…
On blocks with trivial source simple modules
Lluis Puig, Yuanyang Zhou
Motivated by an observation in "Vertices, sources and Green correspondents of the simple modules for the large Mathieu groups", J. of Algebra 322, we determine the source algebra,…
Ordinary Grothendieck groups of a Frobenius P-category
Lluis Puig
In "Frobenius Categories versus Brauer Blocks", Progress in Math. 274, we have introduced the Frobenius categories F over a finite p-group P, and we have associated to F - suitably…
Nilpotent extensions of blocks
Lluis Puig
There are normal sub-blocks of nilpotent blocks which are NOT nilpotent or, equivalently, nilpotent extensions of non-nilpotent blocks. In this paper we determine the source algebr…