Cheryl E. Praeger

activity

20092026

most citedPartial linear spaces with a rank 3 affine primitive group of automorphisms

7 citations · 19 across the 30 of their papers we have counts for

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3 papers · 1 filter

math.CO2026

A new flag-transitive linear space

Seyed Hassan Alavi, Ashraf Daneshkhah, Martin W. Liebeck +1

We construct a new flag-transitive $2$ - $(496, 4, 1)$ design with automorphism group $PΓL_{2} (32)$ . This corrects an omission in the classification of the finite flag-transitiv…

math.CO2026

Recursive constructions for block-transitive, poset-imprimitive two-designs

Carmen Amarra, Alice Devillers, Cheryl E. Praeger

We give two general constructions for $2$ -designs, that can be used recursively, and interchangeably, to produce new infinite families of $2$ -designs admitting block-transitive gro…

math.GR2026

The probability that two elements with large $1$ -eigenspaces generate a classical group

S. P. Glasby, Alice C. Niemeyer, Cheryl E. Praeger

With high probability, among $O (lo g n)$ independent randomly selected elements from a finite $n$ -dimensional classical group, some pair of elements power to a $2$ -element generati…

A new flag-transitive linear space

Recursive constructions for block-transitive, poset-imprimitive two-designs

The probability that two elements with large 1-eigenspaces generate a classical group

The probability that two elements with large $1$ -eigenspaces generate a classical group