AbstractIn the setting of the Green ring, the well-known “inclusion-exclusion” principle of elementary combinatorial theory is applied to study the set of indecomposable summands of the permutation module of a Sylow p-subgroup, yielding results about these modules and their endomorphism rings
The decomposition matrix of a finite group in prime characteristic p records the multiplicities of i...
Let p be a prime integer, let ϑ be a commutative complete local Noetherian ring with an algebraicall...
The main focus of this thesis is algebraic modules---modules that satisfy a polynomial equation with...
AbstractIn the setting of the Green ring, the well-known “inclusion-exclusion” principle of elementa...
Let k be an algebraically closed field of characteristic p and G a finite group. Then the permutatio...
AbstractLet k be an algebraically closed field of characteristic p and G a finite group. Then the pe...
AbstractWe use results of Green to give a correct proof that the modules of the title are all absolu...
Abstract. We prove a strengthened statement of Dress’s induction theorem for the Green ring of modul...
When discussing Alperin's weight conjecture, J. L. Alperin himself has proposed to analyse endomorph...
This thesis is mostly concerned with the block theory of finite groups whose 2-sylow subgroups are a...
We provide a formal framework for the theory of representations of finite groups, as modules over th...
AbstractThe Cartan invariants and decomposition numbers of the endomorphism algebra of the permutati...
AbstractWe study the Green algebra A(kG) generated by the isomorphism classes of indecomposable kG-m...
This paper presents several new algorithms for computing properties of modular group representations...
AbstractLet K be a field of order p and let G be a cyclic group of order pk (k⩾2). We explicitly dec...
The decomposition matrix of a finite group in prime characteristic p records the multiplicities of i...
Let p be a prime integer, let ϑ be a commutative complete local Noetherian ring with an algebraicall...
The main focus of this thesis is algebraic modules---modules that satisfy a polynomial equation with...
AbstractIn the setting of the Green ring, the well-known “inclusion-exclusion” principle of elementa...
Let k be an algebraically closed field of characteristic p and G a finite group. Then the permutatio...
AbstractLet k be an algebraically closed field of characteristic p and G a finite group. Then the pe...
AbstractWe use results of Green to give a correct proof that the modules of the title are all absolu...
Abstract. We prove a strengthened statement of Dress’s induction theorem for the Green ring of modul...
When discussing Alperin's weight conjecture, J. L. Alperin himself has proposed to analyse endomorph...
This thesis is mostly concerned with the block theory of finite groups whose 2-sylow subgroups are a...
We provide a formal framework for the theory of representations of finite groups, as modules over th...
AbstractThe Cartan invariants and decomposition numbers of the endomorphism algebra of the permutati...
AbstractWe study the Green algebra A(kG) generated by the isomorphism classes of indecomposable kG-m...
This paper presents several new algorithms for computing properties of modular group representations...
AbstractLet K be a field of order p and let G be a cyclic group of order pk (k⩾2). We explicitly dec...
The decomposition matrix of a finite group in prime characteristic p records the multiplicities of i...
Let p be a prime integer, let ϑ be a commutative complete local Noetherian ring with an algebraicall...
The main focus of this thesis is algebraic modules---modules that satisfy a polynomial equation with...
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