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The direct product theorem for profinite groups
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and
Published/Copyright:
May 17, 2006
Abstract
Let A and B be finitely generated profinite groups. If G is isomorphic to A × B, then any short exact sequence 1 → A → G → B → 1 splits as a direct product.
Received: 2004-12-11
Published Online: 2006-05-17
Published in Print: 2006-05-01
© Walter de Gruyter
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- Representation type of Schur superalgebras
- The direct extension theorem
- The direct product theorem for profinite groups
- Normally embedded subgroups in direct products
- Around unipotence in groups of finite Morley rank
- Carter subgroups in tame groups of finite Morley rank
- The quasi-variety of groups with trivial fourth dimension subgroup
- Embedding groups in locally (soluble-by-finite) simple groups
- Subsemigroups of groups: presentations, Malcev presentations, and automatic structures
Articles in the same Issue
- Representation type of Schur superalgebras
- The direct extension theorem
- The direct product theorem for profinite groups
- Normally embedded subgroups in direct products
- Around unipotence in groups of finite Morley rank
- Carter subgroups in tame groups of finite Morley rank
- The quasi-variety of groups with trivial fourth dimension subgroup
- Embedding groups in locally (soluble-by-finite) simple groups
- Subsemigroups of groups: presentations, Malcev presentations, and automatic structures
