科研之友
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摘要
We construct 2-generator non- Hopfian groups G(m), m = 3, 4, 5,..., where each G(m) has a specific presentation G(m) - < a, b vertical bar u(rm),(0) = u(rm),(1) = u(rm),(2) = . . . - 1 > which satisfies small cancellation conditions C(4) and T(4). Here, u(rm), i is the single relator of the upper presentation of the 2- bridge link group of slope r(m),(i) , where r(m),(0) = [m + 1, m, m] and r(m),(i) = [m + 1, m - 1, (i - 1) < m > , m + 1, m] in continued fraction expansion for every integer i = 1.
- 出版日期2017-9
