Nilpotency and triviality of mod p Morita-Mumford classes of mapping class groups of surfaces
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This paper is concerned with mod p Morita-Mumford classes of the mapping class group Γg of a closed oriented surface of genus g ≥ 2, especially triviality and nontriviality of them. It is proved that is nilpotent if n ≡ − 1 (mod p − 1), while the stable mod p Morita-Mumford class is proved to be nontrivial and not nilpotent if n ≢ −1 (mod p − 1). With these results in mind, we conjecture that vanishes whenever n ≡ − 1 (mod p − 1), and obtain a few pieces of supporting evidence.
2017 ◽
Vol 26
(07)
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pp. 1750037
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2001 ◽
Vol 10
(05)
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pp. 763-767
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2017 ◽
Vol 26
(10)
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pp. 1750056
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2017 ◽
Vol 26
(11)
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pp. 1750061
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1998 ◽
Vol 123
(3)
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pp. 487-499
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