Jason Semeraro

activity

20162026

collaborators

Showing math.GRShow all

7 papers · 1 filter

math.GR2026

Modules with few Jordan blocks for rank $1$ groups of Lie type and related groups

Valentina Grazian, Justin Lynd, Chris Parker +2

Suppose that $p$ is a prime and $X$ is a finite group with a strongly $p$ -embedded subgroup, for example a rank $1$ group of Lie type in characteristic $p$ . Let $m$ denote the $p$ -…

math.GR2025

Fusion systems related to polynomial representations of $SL_{2} (q)$

Valentina Grazian, Chris Parker, Jason Semeraro +1

Let $q$ be a power of a fixed prime $p$ . We classify up to isomorphism all simple saturated fusion systems on a certain class of $p$ -groups constructed from the polynomial represen…

math.GR2024

On $e$ -local structures for $Z_{ℓ}$ -spetses

Damiano Rossi, Jason Semeraro

Let $q$ be a prime power, $ℓ$ a prime not dividing $q$ , and $e$ the order of $q$ modulo $ℓ$ . We show that the geometric realisation of the nerve of the transporter category o…

math.GR2024

Spectra of subrings of cohomology generated by characteristic classes for fusion systems

Ian J. Leary, Jason Semeraro

If $F$ is a saturated fusion system on a finite $p$ -group $S$ , we define the Chern subring $C h (F)$ of $F$ to be the subring of the mod- $p$ cohomology…

math.GR2020

Algorithms for fusion systems with applications to $p$ -groups of small order

Chris Parker, Jason Semeraro

For a prime $p$ , we describe a protocol for handling a specific type of fusion system on a $p$ -group by computer. These fusion systems contain all saturated fusion systems. This fr…

math.GR2018

Fusion systems on maximal class $3$ -groups of rank two revisited

Chris Parker, Jason Semeraro

We complete the determination of saturated fusion systems on maximal class 3-groups of rank two.

Modules with few Jordan blocks for rank 1 groups of Lie type and related groups

Fusion systems related to polynomial representations of SL2​(q)

On e-local structures for Zℓ​-spetses