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Local characterizations of infinite groups whose ascendant subgroups are permutable
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Published/Copyright:
October 5, 2009
Abstract
A subgroup H of a group G is said to be permutable in G, if HK = KH for every subgroup K of G. Every permutable subgroup is ascendant, but, in general, the converse is far from being true. In this paper we characterize some infinite groups whose ascendant subgroups are permutable in terms of their Sylow structure.
Received: 2008-04-14
Accepted: 2008-06-12
Published Online: 2009-10-05
Published in Print: 2010-January
© de Gruyter 2010
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Articles in the same Issue
- Ideals in non-associative universal enveloping algebras of Lie triple systems
- Curvature of almost quaternion-Hermitian manifolds
- Lp-moduli of continuity of sections of functions
- No invariant line fields on Cantor Julia sets
- Chain conditions for Leavitt path algebras
- On differentiability of quermassintegrals
- The number of configurations in lattice point counting I
- On the Fourier coefficients of modular forms of half-integral weight
- Cross-ratio in higher rank symmetric spaces
- Local characterizations of infinite groups whose ascendant subgroups are permutable
