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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| Дата: | 2003 |
|---|---|
| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2003
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| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/154676 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-154676 |
|---|---|
| record_format |
dspace |
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irk-123456789-1546762019-06-16T01:31:26Z On intersections of normal subgroups in free groups Kulikova, O.V. 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. 2003 Article 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. http://dspace.nbuv.gov.ua/handle/123456789/154676 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Kulikova, O.V. |
| spellingShingle |
Kulikova, O.V. On intersections of normal subgroups in free groups Algebra and Discrete Mathematics |
| author_facet |
Kulikova, O.V. |
| author_sort |
Kulikova, O.V. |
| title |
On intersections of normal subgroups in free groups |
| 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 |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2003 |
| url |
http://dspace.nbuv.gov.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. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT kulikovaov onintersectionsofnormalsubgroupsinfreegroups |
| first_indexed |
2023-05-20T17:45:12Z |
| last_indexed |
2023-05-20T17:45:12Z |
| _version_ |
1796154009302597632 |