Thompson's sporadic group uniquely determined by the centralizer of a 2-central involution.

DOI10.1016/j.jalgebra.2005.01.059zbMath1099.20007OpenAlexW1972891329MaRDI QIDQ2496186

Andrea Previtali, Michael Weller, Gerhard O. Michler

Publication date: 12 July 2006

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2005.01.059

zbMATH Keywords

existencepresentationssporadic simple groupsuniquenesspermutation representationscentralizers of involutionscomputationsimple Thompson group

Mathematics Subject Classification ID

Simple groups: sporadic groups (20D08)

Related Items (1)

Another Uniqueness Proof of the Dickson Simple Group G₂(3)

Uses Software

• GAP
• Magma
• ATLAS Group Representations

Cites Work

• Finite-dimensional representations of free products with an amalgamated subgroup
• On Thompson's simple group
• Automorphism group computation and isomorphism testing in finite groups
• On the uniqueness of the finite simple groups with a given centralizer of a \(2\)-central involution
• The character values of the irreducible constituents of a transitive permutation representation
• On the construction of the finite simple groups with a given centralizer of a 2-central involution
• A characterization of a simple group \(G_2(3)\).
• A new existence proof for \(Ly\), the sporadic simple group of R. Lyons
• Construction of large permutation representations for matrix groups. II
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