HNN EXTENSION OF CYCLICALLY PRESENTED GROUPS
2001 ◽
Vol 10
(08)
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pp. 1269-1279
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Keyword(s):
It is shown that if the defining word of a cyclically presented group is admissable then its natural HNN extension is the group of a high dimensional knot. As an example we define a family of cyclically presented groups which contains Sieradski groups, Fibonacci groups, and Gilbert-Howie groups. It is proven that HNN extensions of these groups are LOG groups and so, are fundamental groups of complements of codimension two closed orientable connected tamely embeded ℓ-dimensional manifolds (ℓ≥2).
2003 ◽
Vol 12
(02)
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pp. 243-268
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Keyword(s):
1998 ◽
Vol 07
(04)
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pp. 503-508
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2015 ◽
Vol 25
(04)
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pp. 633-668
Keyword(s):
2011 ◽
Vol 03
(04)
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pp. 451-489
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2009 ◽
Vol 19
(02)
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pp. 213-227
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Keyword(s):
2007 ◽
Vol 142
(1)
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pp. 25-39
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Keyword(s):
Keyword(s):
2005 ◽
Vol 72
(2)
◽
pp. 187-196
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