Madeleine L. Whybrow

activity

20142020

most citedConstructing Majorana Representations

6 citations · 8 across the 4 of their papers we have counts for

collaborators

6 papers

math.RA2020

Graded 2-generated axial algebras

Madeleine Whybrow

Axial algebras are non-associative algebras generated by semisimple idempotents whose adjoint actions obey a fusion law. Axial algebras that are generated by two such idempotents p…

math.RA2018

An infinite family of axial algebras

Madeleine Whybrow

Axial algebras are non-associative algebras generated by semisimple idempotents, known as axes, that all obey a fusion rule. Axial algebras were introduced by Hall, Rehren and Shpe…

math.GR2018

Minimal 3-generated Majorana algebras

Andrey Mamontov, Alexey Staroletov, Madeleine Whybrow

Majorana theory was introduced by A. A. Ivanov as the axiomatization of certain properties of the 2A-axes of the Griess algebra. Since its inception, Majorana theory has proved to…

math.GR2018★ 6 cited

Constructing Majorana Representations

Markus Pfeiffer, Madeleine Whybrow

Majorana theory was introduced by A. A. Ivanov as an axiomatic framework in which to study objects related to the Monster simple group and the Griess algebra. Since its inception,…

math.GR2017★ 2 cited

Majorana algebras generated by a 2A algebra and one further axis

Madeleine L. Whybrow

We consider Majorana algebras generated by three Majorana axes $a_{0}$ , $a_{1}$ and $a_{2}$ such that $a_{0}$ and $a_{1}$ generate a dihedral algebra of type 2A. We show that such an algebra…

math.GR2014

Asypmtotic Behaviour of the Conjugacy Probability of the Alternating Group

Misja F. A. Steinmetz, Madeleine L. Whybrow

For $G$ a finite group, let $κ (G)$ be the probability that $σ, τ \in G$ are conjugate, when $σ$ and $τ$ are chosen independently and uniformly at random. In this paper, we extend the…