Groups with Few Nonmodular Subgroups
Abstract Let G be a Tarski-free group such that the join of all nonmodular subgroups of G is a proper subgroup in G. It is proved that G contains a finite normal subgroup N such that the quotient group G/N has a modular subgroup lattice.
Gespeichert in:
| Autor*in: |
de Mari, F. [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2004 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer Science+Business Media, Inc. 2005 |
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| Übergeordnetes Werk: |
Enthalten in: Ukrainian mathematical journal - Kluwer Academic Publishers-Consultants Bureau, 1967, 56(2004), 10 vom: Okt., Seite 1693-1698 |
|---|---|
| Übergeordnetes Werk: |
volume:56 ; year:2004 ; number:10 ; month:10 ; pages:1693-1698 |
| Links: |
|---|
| DOI / URN: |
10.1007/s11253-005-0144-4 |
|---|
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OLC2054557579 |
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| 520 | |a Abstract Let G be a Tarski-free group such that the join of all nonmodular subgroups of G is a proper subgroup in G. It is proved that G contains a finite normal subgroup N such that the quotient group G/N has a modular subgroup lattice. | ||
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Abstract Let G be a Tarski-free group such that the join of all nonmodular subgroups of G is a proper subgroup in G. It is proved that G contains a finite normal subgroup N such that the quotient group G/N has a modular subgroup lattice. © Springer Science+Business Media, Inc. 2005 |
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Abstract Let G be a Tarski-free group such that the join of all nonmodular subgroups of G is a proper subgroup in G. It is proved that G contains a finite normal subgroup N such that the quotient group G/N has a modular subgroup lattice. © Springer Science+Business Media, Inc. 2005 |
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Abstract Let G be a Tarski-free group such that the join of all nonmodular subgroups of G is a proper subgroup in G. It is proved that G contains a finite normal subgroup N such that the quotient group G/N has a modular subgroup lattice. © Springer Science+Business Media, Inc. 2005 |
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