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- W1564602298 abstract "For different non-negative integers n the pairs (left( {{a^{{2^n}}},b} right)), which are generating pairs of G = gp(a, b; b −1 a 2 b = a 3), are shown to lie in different T-systems of G. The presentation (left( {x,y;{x^{ - 1}}{{left[ {x,y} right]}^2},left[ {x,{x^{{y^n}}}} right]} right)) is associated with the generating pair (left( {{a^{{2^n}}},b} right)) of G for each positive integer n. It is shown that a two generator group which is an extension of an abelian group by an infinite cyclic group has only one T-system of generating pairs. This implies that the quotient group of G by its second derived group has only one T-system of generating pairs." @default.
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- W1564602298 date "1974-01-01" @default.
- W1564602298 modified "2023-09-26" @default.
- W1564602298 title "Transitivity-Systems of Certain One-Relator Groups" @default.
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- W1564602298 doi "https://doi.org/10.1007/978-3-662-21571-5_10" @default.
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