Nick Gill

activity

20062026

most citedGrowth in solvable subgroups of GL_r(Z/pZ)

24 citations · 93 across the 30 of their papers we have counts for

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Showing 2006 · math.GRShow all

5 papers · 2 filters

math.GR2006

Nilpotent Singer Groups

Nick Gill

Let $N$ be a nilpotent group normal in a group $G$ . Suppose that $G$ acts transitively upon the points of a finite non-Desarguesian projective plane $P$ . We prove that, i…

math.GR2006

Linear spaces with significant characteristic prime

Nick Gill

Let $G$ be a group with socle a simple group of Lie type defined over the finite field with $q$ elements where $q$ is a power of the prime $p$ . Suppose that $G$ acts transitively u…

math.GR2006★ 17 cited

Polar spaces and embeddings of classical groups

Nick Gill

Given polar spaces $(V, β)$ and $(V, Q)$ where $V$ is a vector space over a field $K$ , $β$ a reflexive sesquilinear form and $Q$ a quadratic form, we have associated classical isomet…

math.GR2006★ 9 cited

$P S L (3, q)$ and line-transitive linear spaces

Nick Gill

We present a partial classification of those finite linear spaces $S$ on which an almost simple group $G$ with socle $P S L (3, q)$ acts line-transitively.

math.GR2006★ 3 cited

Transitive projective planes

Nick Gill

A long-standing conjecture is that any transitive finite projective plane is Desarguesian. We make a contribution towards a proof of this conjecture by showing that a group acting…

Nilpotent Singer Groups

Linear spaces with significant characteristic prime

Polar spaces and embeddings of classical groups

PSL(3,q) and line-transitive linear spaces

Transitive projective planes

$P S L (3, q)$ and line-transitive linear spaces