INDICABLE GROUPS AND ENDOMORPHIC PRESENTATIONS
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AbstractIn this paper we look at presentations of subgroups of finitely presented groups with infinite cyclic quotients. We prove that if H is a finitely generated normal subgroup of a finitely presented group G with G/H cyclic, then H has ascending finite endomorphic presentation. It follows that any finitely presented indicable group without free semigroups has the structure of a semidirect product H ⋊ ℤ, where H has finite ascending endomorphic presentation.
2018 ◽
Vol 27
(14)
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pp. 1850074
1974 ◽
Vol 75
(1)
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pp. 33-35
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1974 ◽
Vol 18
(1)
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pp. 1-7
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2004 ◽
Vol 70
(2)
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pp. 199-205
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