AbstractWe provide upper and lower bounds for the number of completely reducible homomorphisms from a finite group Γ to general linear and unitary groups over arbitrary finite fields, and to orthogonal and symplectic groups over finite fields of odd characteristic
AbstractLet Ω≤GL(V) be a quasisimple classical group in its natural representation over a finite vec...
The Gan-Gross-Prasad problem is to describe the restriction of representations of a classical group ...
We construct blocks of finite groups with arbitrarily large Morita Frobenius numbers, an invariant w...
AbstractWe provide upper and lower bounds for the number of completely reducible homomorphisms from ...
We provide upper and lower bounds for the number of completely reducible homomorphisms from a finite...
We prove a result that relates the number of homomorphisms from the fundamental group of a compact n...
AbstractWe study the number of homomorphisms from a finite group to a general linear group over a fi...
Fix an arbitrary finite group A of order a, and let X(n,q) denote the set of homomorphisms from A to...
AbstractThis is a survey paper on the geometry of classical groups over finite fields and its applic...
Acknowledgments. The authors acknowledge the financial support of EPSRC Grant EP/L005328/1, Marsden ...
AbstractFor a finite groupG, letk(G) denote the number of conjugacy classes ofG. We prove that a sim...
AbstractLet G be a finite classical group defined over a finite field with odd characteristic. Let r...
Let $A_g$ be an abelian variety of dimension $g$ and $p$-rank $\lambda \leq 1$ over an algebraically...
AbstractConfirming a conjecture of G. Hjorth and A. Kechris (1996, Ann. Pure Appl. Logic82, 221–272)...
Let F be a field, let G be a finite group, and let π be a linear representation of G over F; that is...
AbstractLet Ω≤GL(V) be a quasisimple classical group in its natural representation over a finite vec...
The Gan-Gross-Prasad problem is to describe the restriction of representations of a classical group ...
We construct blocks of finite groups with arbitrarily large Morita Frobenius numbers, an invariant w...
AbstractWe provide upper and lower bounds for the number of completely reducible homomorphisms from ...
We provide upper and lower bounds for the number of completely reducible homomorphisms from a finite...
We prove a result that relates the number of homomorphisms from the fundamental group of a compact n...
AbstractWe study the number of homomorphisms from a finite group to a general linear group over a fi...
Fix an arbitrary finite group A of order a, and let X(n,q) denote the set of homomorphisms from A to...
AbstractThis is a survey paper on the geometry of classical groups over finite fields and its applic...
Acknowledgments. The authors acknowledge the financial support of EPSRC Grant EP/L005328/1, Marsden ...
AbstractFor a finite groupG, letk(G) denote the number of conjugacy classes ofG. We prove that a sim...
AbstractLet G be a finite classical group defined over a finite field with odd characteristic. Let r...
Let $A_g$ be an abelian variety of dimension $g$ and $p$-rank $\lambda \leq 1$ over an algebraically...
AbstractConfirming a conjecture of G. Hjorth and A. Kechris (1996, Ann. Pure Appl. Logic82, 221–272)...
Let F be a field, let G be a finite group, and let π be a linear representation of G over F; that is...
AbstractLet Ω≤GL(V) be a quasisimple classical group in its natural representation over a finite vec...
The Gan-Gross-Prasad problem is to describe the restriction of representations of a classical group ...
We construct blocks of finite groups with arbitrarily large Morita Frobenius numbers, an invariant w...
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