The descent algebra of the symmetric group, over a field of non-zero characteristic p, is studied. A homomorphism into the algebra of generalised p-modular characters of the symmetric group is defined. This is then used to determine the radical, and its nilpotency index. It also allows the irreducible representations of the descent algebra to be described.</p
In this thesis, we study the representation theory of the symmetric groups $\mathfrak{S}_n$, their S...
AbstractThe relationships between the values taken by ordinary characters of symmetric groups are ex...
AbstractHere we give an interpretation of Solomon's rule for multiplication in the descent algebra o...
The descent algebra of the symmetric group, over a field of non-zero characteristic p, is studied. A...
A descent algebra is a subalgebra of the group algebra of a Coxeter group. They were first defined o...
The descent algebra DW of a finite Coxeter group W, discovered by Solomon in 1976, is a subalgebra o...
I have studied representation theory of finite groups, in particular of the symmetric group over fie...
AbstractWe establish and comment on a surprising relationship between the behaviour modulo a prime p...
ABSTRACT. We establish and comment on a surprising relationship between the behaviour modulo a prime...
The decomposition matrix of a finite group in prime characteristic p records the multiplicities of i...
In [2], we have classified the p-solvable groups G with pm{ 2<t(G)<pm{ 1 for p odd, where t(G) is th...
The purpose of the following sections will be to determine the distribution into p-blocks of the ord...
Let G be a finite soluble group and r a rational prime or zero. Let Z be a central cyclicsubgroup of...
We study the complex reflection groups G(r, p, n). By considering these groups as subgroups of the w...
AbstractVarious problems in modular p-group algebras are solved through extensive study of dimension...
In this thesis, we study the representation theory of the symmetric groups $\mathfrak{S}_n$, their S...
AbstractThe relationships between the values taken by ordinary characters of symmetric groups are ex...
AbstractHere we give an interpretation of Solomon's rule for multiplication in the descent algebra o...
The descent algebra of the symmetric group, over a field of non-zero characteristic p, is studied. A...
A descent algebra is a subalgebra of the group algebra of a Coxeter group. They were first defined o...
The descent algebra DW of a finite Coxeter group W, discovered by Solomon in 1976, is a subalgebra o...
I have studied representation theory of finite groups, in particular of the symmetric group over fie...
AbstractWe establish and comment on a surprising relationship between the behaviour modulo a prime p...
ABSTRACT. We establish and comment on a surprising relationship between the behaviour modulo a prime...
The decomposition matrix of a finite group in prime characteristic p records the multiplicities of i...
In [2], we have classified the p-solvable groups G with pm{ 2<t(G)<pm{ 1 for p odd, where t(G) is th...
The purpose of the following sections will be to determine the distribution into p-blocks of the ord...
Let G be a finite soluble group and r a rational prime or zero. Let Z be a central cyclicsubgroup of...
We study the complex reflection groups G(r, p, n). By considering these groups as subgroups of the w...
AbstractVarious problems in modular p-group algebras are solved through extensive study of dimension...
In this thesis, we study the representation theory of the symmetric groups $\mathfrak{S}_n$, their S...
AbstractThe relationships between the values taken by ordinary characters of symmetric groups are ex...
AbstractHere we give an interpretation of Solomon's rule for multiplication in the descent algebra o...
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