On nilpotent automorphism groups of function fields
Keyword(s):
Abstract We study the automorphisms of a function field of genus g ≥ 2 over an algebraically closed field of characteristic p > 0. More precisely, we show that the order of a nilpotent subgroup G of its automorphism group is bounded by 16 (g – 1) when G is not a p-group. We show that if |G| = 16(g – 1), then g – 1 is a power of 2. Furthermore, we provide an infinite family of function fields attaining the bound.
1959 ◽
Vol 14
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pp. 223-234
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Keyword(s):
2014 ◽
Vol 10
(08)
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pp. 2187-2204
2006 ◽
Vol 182
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pp. 259-284
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2009 ◽
Vol 05
(05)
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pp. 897-910
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2017 ◽
Vol 18
(2)
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pp. 293-327
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2018 ◽
Vol 2018
(739)
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pp. 159-205
1979 ◽
Vol 27
(2)
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pp. 163-166
Keyword(s):
1995 ◽
Vol 52
(2)
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pp. 209-225
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