Finite groups acting on hyperelliptic 3-manifolds
2020 ◽
Vol 29
(04)
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pp. 2050021
Keyword(s):
We consider 3-manifolds admitting the action of an involution such that its space of orbits is homeomorphic to [Formula: see text] Such involutions are called hyperelliptic as the manifolds admitting such an action. We consider finite groups acting on 3-manifolds and containing hyperelliptic involutions whose fixed-point set has [Formula: see text] components. In particular we prove that a simple group containing such an involution is isomorphic to [Formula: see text] for some odd prime power [Formula: see text], or to one of four other small simple groups.
1980 ◽
Vol s3-40
(2)
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pp. 320-345
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1980 ◽
Vol 31
(2)
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pp. 233-246
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2007 ◽
Vol 1
(1)
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pp. 95-128
Keyword(s):
1980 ◽
Vol 31
(1)
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pp. 81-96
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2014 ◽
Vol 2014
(1)
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pp. 51
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2008 ◽
Vol 341
(2)
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pp. 1445-1456
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