77 citations · 88 across the 5 of their papers we have counts for
5 papers
Automorphism groups of axial algebras
Ilya Gorshkov, Justin McInroy, Tendai Mudziiri Shumba +1
Axial algebras are a class of commutative non-associative algebras which have a natural group of automorphisms, called the Miyamoto group. The motivating example is the Griess alge…
Miyamoto involutions in axial algebras of Jordan type half
J. I. Hall, Y. Segev, S. Shpectorov
Nonassociative commutative algebras generated by idempotents whose adjoint operators , given by , are diagonalizable and hav…
Lie algebras and 3-transpositions
H. Cuypers, M. Horn, J. in 't panhuis +1
We describe a construction of an algebra over the field of order 2 starting from a conjugacy class of 3-transpositions in a group. In particular, we determine which simple Lie alge…
The locus of curves with prescribed automorphism group
K. Magaard, T. Shaska, S. Shpectorov +1
Let G be a finite group, and . We study the locus of genus g curves that admit a G-action of given type, and inclusions between such loci. We use this to study the locus…
Extended F_4-buildings and the Baby Monster
A. A. Ivanov, D. V. Pasechnik, S. V. Shpectorov
The Baby Monster group B acts naturally on a geometry E(B) with diagram c.F_4(t) for t=4 and the action of B on E(B) is flag-transitive. It possesses the following properties: (a)…