The abelianization of the level L mapping class group
classification
🧮 math.GT
math.GR
keywords
grouplevelclassmappingsubgroupabelianizationabelianizationscalculate
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We calculate the abelianizations of the level $L$ subgroup of the genus $g$ mapping class group and the level $L$ congruence subgroup of the $2g \times 2g$ symplectic group for $L$ odd and $g \geq 3$.
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