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Oct 4 at 3:32 comment added Carl-Fredrik Nyberg Brodda @YCor They are the same thing. The deficiency of a one-relator group with presentation $\langle a_1, \dots, a_n \mid R = 1 \rangle$ where $R$ is non-trivial is $n-1$, as proved by Rapaport. So Murasugi's result for one-relator groups is for all one-relator groups with $n \geq 3$.
Oct 3 at 17:15 history became hot network question
Oct 3 at 16:25 comment added YCor "For 1-relator groups": do you mean, for groups which are both 1-relator and deficiency $\ge 2$ (possibly for another presentation), or for groups with a 1-relator presentation of deficiency $\ge 2$?
Oct 3 at 10:06 answer added jonathan timeline score: 8
Oct 3 at 9:35 answer added Giles Gardam timeline score: 7
Oct 3 at 9:12 history asked Carl-Fredrik Nyberg Brodda CC BY-SA 4.0