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On powers in powerful p-groups
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Marcin Mazur
Published/Copyright:
July 26, 2007
Abstract
We prove that |Ω{k}(P)| = [P : Ppk] in a powerful p-group P.
Received: 2006-01-17
Revised: 2006-08-07
Published Online: 2007-07-26
Published in Print: 2007-07-20
© Walter de Gruyter
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Articles in the same Issue
- On Jordan's theorem for complex linear groups
- The group GL(6,ℤ) is (2, 3)-generated
- On powers in powerful p-groups
- The exponents of central factor and commutator groups
- Automorphism groups of finite p-groups of coclass 2
- Capability of nilpotent products of cyclic groups II
- Non-prosoluble profinite groups with a rational probabilistic zeta function
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Constructing sharply transitive R-modules of rank ⩽
- On hypercentral units in integral group rings
- Embedding homological properties of metabelian discrete groups: the general case
- Local connectivity of right-angled Coxeter group boundaries
- An algorithm that decides translation equivalence in a free group of rank two
