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A method of Bender applied to groups of J3-type
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Barbara Baumeister
Published/Copyright:
September 30, 2008
Abstract
We apply a method of Bender [H. Bender. Finite groups with large subgroups. Illinois J. Math. 18 (1974), 223–228.] to determine the order of a group G of J3-type. Moreover, we determine the local p-structure of G for every prime p dividing the order of G. The results of this paper are obtained by exploiting the action of G on its geometry [B. Baumeister. A geometry for groups of J3-type. Arch. Math. (Basel) 88 (2007), 491–499.] and by sophisticated use of elementary group theory.
Received: 2007-03-12
Revised: 2007-12-18
Published Online: 2008-09-30
© de Gruyter 2008
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Articles in the same Issue
- Constructive membership in black-box groups
- Connectivity of the product replacement algorithm graph of PSL(2, q)
- A method of Bender applied to groups of J3-type
- Determining a connected split reductive group from its irreducible representations
- A construction of almost all Brauer trees
- Irreducible components and isomorphisms of the Burnside ring
- On the single-orbit conjecture for uncoverings-by-bases
- On 2-generated subgroups and products of groups
- Covering number for reflections in trees
- A formula for the normal subgroup growth of Baumslag–Solitar groups
- Graphs, free groups and the Hanna Neumann conjecture
