E. O'Brien

activity

20152025

most citedRegular orbits of symmetric and alternating groups

15 citations · 26 across the 15 of their papers we have counts for

collaborators

Showing 2023Show all

4 papers · 1 filter

math.GR2023★ 1 cited

Minimal degrees for faithful permutation representations of groups of order $p^{6}$ where $p$ is an odd prime

E. A. O'Brien, Sunil Kumar Prajapati, Ayush Udeep

We determine the minimal degree of a faithful permutation representation for each group of order $p^{6}$ where $p$ is an odd prime. We also record how to obtain such a representation…

math.AG2023

Local systems and Suzuki groups

L. Alpoge, N. M. Katz, G. Navarro +2

We study geometric monodromy groups $G_{\geo,\sF_q}$ of the local systems $\sF_q$ on the affine line over $\F_2$ of rank $D = q (q - 1)$ , $q = 2^{2 n + 1}$ , constructed in \cite{Ka-ER…

math.GR2023

Isomorphism invariant metrics

P. A. Brooksbank, J. F. Maglione, E. A. O'Brien +1

Within a category $C$ , having objects $C_{0}$ , it may be instructive to know not only that two objects are non-isomorphic, but also how far from being isomorphic th…

math.GR2023

Presentations for the groups of order $p^{6}$ for prime $p \geq 7$

M. F. Newman, E. A. O'Brien, M. R. Vaughan-Lee

We list those presentations for the groups of order $p^{6}$ for prime $p \geq 7$ which are distributed as part of the {\sc SmallGroups} library.

Minimal degrees for faithful permutation representations of groups of order p6 where p is an odd prime

Local systems and Suzuki groups

Isomorphism invariant metrics

Presentations for the groups of order p6 for prime p≥7

Minimal degrees for faithful permutation representations of groups of order $p^{6}$ where $p$ is an odd prime

Presentations for the groups of order $p^{6}$ for prime $p \geq 7$