AbstractIf G is any finite solvable group having a normal Sylow 2-subgroup (in particular, if |G| is odd) and satisfying |cd(G)|⩾5, where cd(G) is the set of ordinary irreducible character degrees of G, we show that the Fitting height of G does not exceed |cd(G)|−2. In case |cd(G)|=5, this upper bound on the Fitting height of G is best-possible
AbstractSuppose that G is a finite group, let p be a prime and let P∈Sylp(G). We prove that P is nor...
PhDMathematicsUniversity of Michigan, Horace H. Rackham School of Graduate Studieshttp://deepblue.li...
In this paper, we characterize the finite solvable groups with non-complete character degree graphs ...
We prove that if G is a solvable group with abelian Sylow 2-subgroups, the index of the Fitting subg...
AbstractWe prove that if G is a solvable group with abelian Sylow 2-subgroups, the index of the Fitt...
AbstractLet the nonsolvable N be a normal subgroup of the finite group G and cd(G|N) denote the irre...
An important result in ordinary character theory is the Ito-Michler theorem, which asserts that a pr...
Abstract. We study the finite groups G for which the set cd(G) of irreducible complex character degr...
A classical theorem on character degrees states that if a finite group has fewer than four character...
AbstractLet d be the degree of an irreducible character of a finite group G. We can write |G|=d(d+e)...
AbstractLet d be the degree of some irreducible character of a finite group G. We can write |G|=d(d+...
AbstractIf b is a p-block of a normal subgroup N of a finite group G of odd order and b⁎ is its Brau...
The Fong-Swan theorem shows that if ϕ is any irreducible Brauer character of a finite solvable group...
In this paper we are concerned with finite soluble groups admitting a factorisation G=AB, with A an...
summary:Let $m>1$ be a fixed positive integer. In this paper, we consider finite groups each of whos...
AbstractSuppose that G is a finite group, let p be a prime and let P∈Sylp(G). We prove that P is nor...
PhDMathematicsUniversity of Michigan, Horace H. Rackham School of Graduate Studieshttp://deepblue.li...
In this paper, we characterize the finite solvable groups with non-complete character degree graphs ...
We prove that if G is a solvable group with abelian Sylow 2-subgroups, the index of the Fitting subg...
AbstractWe prove that if G is a solvable group with abelian Sylow 2-subgroups, the index of the Fitt...
AbstractLet the nonsolvable N be a normal subgroup of the finite group G and cd(G|N) denote the irre...
An important result in ordinary character theory is the Ito-Michler theorem, which asserts that a pr...
Abstract. We study the finite groups G for which the set cd(G) of irreducible complex character degr...
A classical theorem on character degrees states that if a finite group has fewer than four character...
AbstractLet d be the degree of an irreducible character of a finite group G. We can write |G|=d(d+e)...
AbstractLet d be the degree of some irreducible character of a finite group G. We can write |G|=d(d+...
AbstractIf b is a p-block of a normal subgroup N of a finite group G of odd order and b⁎ is its Brau...
The Fong-Swan theorem shows that if ϕ is any irreducible Brauer character of a finite solvable group...
In this paper we are concerned with finite soluble groups admitting a factorisation G=AB, with A an...
summary:Let $m>1$ be a fixed positive integer. In this paper, we consider finite groups each of whos...
AbstractSuppose that G is a finite group, let p be a prime and let P∈Sylp(G). We prove that P is nor...
PhDMathematicsUniversity of Michigan, Horace H. Rackham School of Graduate Studieshttp://deepblue.li...
In this paper, we characterize the finite solvable groups with non-complete character degree graphs ...
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