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Solvable groups with a given solvable length, and minimal composition length
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S. P. Glasby
Veröffentlicht/Copyright:
27. Juli 2005
Abstract
Let cS(d ) denote the minimal composition length of all finite solvable groups with solvable (or derived) length d. We obtain the values in the following table:
:
Published Online: 2005-07-27
Published in Print: 2005-05-25
© de Gruyter
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Artikel in diesem Heft
- On two conditions on characters and conjugacy classes in finite soluble groups
- Bounding the number of conjugacy classes of a permutation group
- Real conjugacy classes in algebraic groups and finite groups of Lie type
- The number of generators of finite p-groups
- Solvable groups with a given solvable length, and minimal composition length
- Actions of relative Weyl groups II
- Growth rates of amenable groups
Artikel in diesem Heft
- On two conditions on characters and conjugacy classes in finite soluble groups
- Bounding the number of conjugacy classes of a permutation group
- Real conjugacy classes in algebraic groups and finite groups of Lie type
- The number of generators of finite p-groups
- Solvable groups with a given solvable length, and minimal composition length
- Actions of relative Weyl groups II
- Growth rates of amenable groups