On intersections of normal subgroups in free groups
Let N₁ (respectively N₂) be a normal closure of a set R₁ = {ui} (respectively R₂ = {vj}) of cyclically reduced words of the free group F(A). In the paper we consider geometric conditions on R₁ and R₂ for N₁ ∩ N₂ = [N₁, N₂]. In particular, it turns out that if a presentation < A | R₁, R₂ >...
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| Veröffentlicht in: | Algebra and Discrete Mathematics |
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| Datum: | 2003 |
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| Format: | Artikel |
| Sprache: | English |
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Інститут прикладної математики і механіки НАН України
2003
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/154676 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | On intersections of normal subgroups in free groups / O.V. Kulikova // Algebra and Discrete Mathematics. — 2003. — Vol. 2, № 1. — С. 36–67. — Бібліогр.: 4 назв. — англ. |
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Kulikova, O.V. 2019-06-15T17:41:20Z 2019-06-15T17:41:20Z 2003 On intersections of normal subgroups in free groups / O.V. Kulikova // Algebra and Discrete Mathematics. — 2003. — Vol. 2, № 1. — С. 36–67. — Бібліогр.: 4 назв. — англ. 1726-3255 2000 Mathematics Subject Classification: 20F05, 20F06. https://nasplib.isofts.kiev.ua/handle/123456789/154676 Let N₁ (respectively N₂) be a normal closure of a set R₁ = {ui} (respectively R₂ = {vj}) of cyclically reduced words of the free group F(A). In the paper we consider geometric conditions on R₁ and R₂ for N₁ ∩ N₂ = [N₁, N₂]. In particular, it turns out that if a presentation < A | R₁, R₂ > is aspherical (for example, it satisfies small cancellation conditions C(p)&T(q) with 1/p + 1/q = 1/2), then the equality N₁ ∩ N₂ = [N₁, N₂] holds. en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics On intersections of normal subgroups in free groups Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
On intersections of normal subgroups in free groups |
| spellingShingle |
On intersections of normal subgroups in free groups Kulikova, O.V. |
| title_short |
On intersections of normal subgroups in free groups |
| title_full |
On intersections of normal subgroups in free groups |
| title_fullStr |
On intersections of normal subgroups in free groups |
| title_full_unstemmed |
On intersections of normal subgroups in free groups |
| title_sort |
on intersections of normal subgroups in free groups |
| author |
Kulikova, O.V. |
| author_facet |
Kulikova, O.V. |
| publishDate |
2003 |
| language |
English |
| container_title |
Algebra and Discrete Mathematics |
| publisher |
Інститут прикладної математики і механіки НАН України |
| format |
Article |
| description |
Let N₁ (respectively N₂) be a normal closure
of a set R₁ = {ui} (respectively R₂ = {vj}) of cyclically reduced
words of the free group F(A). In the paper we consider geometric
conditions on R₁ and R₂ for N₁ ∩ N₂ = [N₁, N₂]. In particular, it
turns out that if a presentation < A | R₁, R₂ > is aspherical (for
example, it satisfies small cancellation conditions C(p)&T(q) with
1/p + 1/q = 1/2), then the equality N₁ ∩ N₂ = [N₁, N₂] holds.
|
| issn |
1726-3255 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/154676 |
| citation_txt |
On intersections of normal subgroups in free groups / O.V. Kulikova // Algebra and Discrete Mathematics. — 2003. — Vol. 2, № 1. — С. 36–67. — Бібліогр.: 4 назв. — англ. |
| work_keys_str_mv |
AT kulikovaov onintersectionsofnormalsubgroupsinfreegroups |
| first_indexed |
2025-12-01T08:15:38Z |
| last_indexed |
2025-12-01T08:15:38Z |
| _version_ |
1850859695297789952 |