E. O'Brien

activity

20152019

most citedSurjective word maps and Burnsides

p^{a} q^{b}

theorem

1 citations · 1 across the 5 of their papers we have counts for

collaborators

2 papers

math.GR2017

Code loops in dimension at most 8

E. A. O'Brien, Petr Vojtěchovský

Code loops are certain Moufang $2$ -loops constructed from doubly even binary codes that play an important role in the construction of local subgroups of sporadic groups. More preci…

math.GR2015★ 1 cited

Surjective word maps and Burnsides $p^{a} q^{b}$ theorem

Robert Guralnick, Martin Liebeck, Eamon O'Brien +2

We prove surjectivity of certain word maps on finite non-abelian simple groups. More precisely, we prove the following: if N is a product of two prime powers, then the word map sen…

Code loops in dimension at most 8

Surjective word maps and Burnsides paqb theorem

Surjective word maps and Burnsides $p^{a} q^{b}$ theorem