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math.GR2016
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…
math.GR2011★ 4 cited
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…
math.GR2000★ 7 cited
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)…