Nonequational stable groups

Authors

Isabel Müller, The American University in Cairo
Rizos Sklinos, Academy of Mathematics and System Sciences Chinese Academy of Sciences

Author's Department

Mathematics & Actuarial Science Department

Find in your Library

https://doi.org/10.1090/bproc/165

All Authors

Isabel Müller, Rizos Sklinos

Document Type

Research Article

Publication Title

Proceedings of the American Mathematical Society, Series B

Publication Date

1-1-2024

doi

10.1090/bproc/165

Abstract

We introduce a combinatorial criterion for verifying whether a formula is not the conjunction of an equation and a co-equation. Using this, we give a proof for the nonequationality of the free group. Furthermore, we generalize the latter result to the first-order theory of any free product of groups of the form G * Fω.

First Page

254

Last Page

264

Comments

Article. Record derived from SCOPUS.

Recommended Citation

APA Citation

Müller, I. & Sklinos, R. (2024). Nonequational stable groups. Proceedings of the American Mathematical Society, Series B, 11, 254–264. https://doi.org/10.1090/bproc/165

MLA Citation

Müller, Isabel, et al. "Nonequational stable groups." Proceedings of the American Mathematical Society, Series B, vol. 11, 2024, pp. 254–264.
https://doi.org/10.1090/bproc/165