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Group algebras of torsion groups and Lie nilpotence
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A. Giambruno
Veröffentlicht/Copyright:
31. August 2009
Abstract
Let ∗ be an involution of a group algebra FG induced by an involution of the group G. For char F ≠ 2, we classify the torsion groups G with no elements of order 2 whose Lie algebra of ∗-skew elements is nilpotent.
Received: 2009-03-19
Revised: 2009-05-23
Published Online: 2009-08-31
Published in Print: 2010-March
© de Gruyter 2010
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Artikel in diesem Heft
- Class numbers of group extensions
- Zeros of Brauer characters and the defect zero graph
- On the vanishing prime graph of solvable groups
- Solvability of generalized monomial groups
- Group algebras of torsion groups and Lie nilpotence
- An axiomatic formation that is not a variety
- Minimal odd order automorphism groups
- Finite groups with normally embedded subgroups
- The influence of ℋ-subgroups on the structure of finite groups
- Classification of the virtually cyclic subgroups of the pure braid groups of the projective plane
- On ω-categorical groups and their completions
Artikel in diesem Heft
- Class numbers of group extensions
- Zeros of Brauer characters and the defect zero graph
- On the vanishing prime graph of solvable groups
- Solvability of generalized monomial groups
- Group algebras of torsion groups and Lie nilpotence
- An axiomatic formation that is not a variety
- Minimal odd order automorphism groups
- Finite groups with normally embedded subgroups
- The influence of ℋ-subgroups on the structure of finite groups
- Classification of the virtually cyclic subgroups of the pure braid groups of the projective plane
- On ω-categorical groups and their completions