The \(3\)-transposition groups with trivial center

DOI10.1006/jabr.1995.1344zbMath0840.20025OpenAlexW2144614923MaRDI QIDQ1904075

Jonathan I. Hall, Hans Cuypers

Publication date: 16 April 1996

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1995.1344

zbMATH Keywords

locally finite groups3-transposition groupsgroups generated by classes of \(3\)-transpositions

Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) Simple groups (20E32) Generators, relations, and presentations of groups (20F05)

Related Items (21)

Axes of Jordan type in non-commutative algebras ⋮ The Conway-Miyamoto correspondences for the Fischer 3-transposition groups ⋮ Periodic groups with dense spectrum ⋮ Generating finite 3-transposition groups ⋮ Killing metrized commutative nonassociative algebras associated with Steiner triple systems ⋮ INVOLUTION GRAPHS WHERE THE PRODUCT OF TWO ADJACENT VERTICES HAS ORDER THREE ⋮ On 3-transposition groups generated by \(\sigma\)-involutions associated to \(c=4/5\) Virasoro vectors ⋮ Primitive 4-generated axial algebras of Jordan type ⋮ Lie algebras and 3-transpositions ⋮ Miyamoto involutions in axial algebras of Jordan type half ⋮ Jordan algebras and 3-transposition groups ⋮ Extended near hexagons and line systems ⋮ Vertex operator algebras generated by Ising vectors of \(\sigma\)-type ⋮ A characterization of the full wreath product. ⋮ A new series of axial algebras of monster type \((2\eta,\eta)\) ⋮ Jordan Matsuo algebras over fields of characteristic 3 ⋮ The spectra of finite 3-transposition groups ⋮ Transposition Algebras ⋮ McKay's \(E_6\) observation on the largest Fischer group ⋮ Double axes and subalgebras of Monster type in Matsuo algebras ⋮ Primitive axial algebras of Jordan type

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