Bibliographic Details
| Title: |
A new family of sofic one-relator groups. |
| Authors: |
Berlai, Federico1 (AUTHOR) federico.berlai@ehu.eus |
| Source: |
International Journal of Algebra & Computation. Feb2026, Vol. 36 Issue 1, p115-120. 6p. |
| Subjects: |
Infinite groups, Mathematics, Mathematical proofs |
| Abstract: |
In this paper, we provide an infinite family of sofic one-relator groups that are not residually finite nor residually solvable. The proof is essentially different from the one in [J. P. Bannon, A non-residually solvable hyperlinear one-relator group, Proc. Amer. Math. Soc. 139(4) (2011) 1409–1410] as it does not use Magnus–Moldavanskii decompositions. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |