Z-群的提升表示
Lifting representations of Z-groups
摘要：
设K是满态映射G -> Z的核，其中G是一个G-表示群.如果K有无穷多个指数为2、3或4的子群，则它有不可数多个子群。此外，若K是一个典型纽结群G的换位子群，则从K到对称群S_2的任何同态提升为到S_3的同态，从K到Z_3的任何同态提升为到交错群A_4的同态.
英文摘要：
Let K be the kernel of an epimorphism G -> Z, where G is a finitely presented group. If K has infinitely many subgroups of index 2, 3, or 4, then it has uncountably many. Moreover, if K is the commutator subgroup of a classical knot group G, then any homomorphism from K onto the symmetric group S_2 lifts to a homomorphism onto S_3, and any homomorphism from K onto Z_3 lifts to a homomorphism onto the alternating group A_4.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
