John, Michael N. and Musa, Alex and Udoaka, Otobong. G. (2024) Conjugacy Classes in Finitely Generated Groups with Small Cancellation Properties. European Journal of Statistics and Probability, 12 (1). pp. 1-9. ISSN 2055-0154(Print), 2055-0162(Online)
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Abstract
This research delves into the intricate structure of conjugacy classes within finitely generated groups possessing small cancellation properties. Focusing on groups derived from the free group on two generators (F_2) through small cancellation theory, the study explores the interplay between small cancellation conditions, conjugacy classes, and their implications for the group's geometry. Residually finite groups, quasi-isometry, and the impact of varying parameters in small cancellation conditions are key aspects considered. The investigation aims to provide a comprehensive understanding of how these factors contribute to the diversity of conjugacy classes and their significance within this class of groups.
| Item Type: | Article |
|---|---|
| Subjects: | Q Science > QA Mathematics |
| Depositing User: | Professor Mark T. Owen |
| Date Deposited: | 18 Dec 2023 20:45 |
| Last Modified: | 18 Dec 2023 20:45 |
| URI: | https://tudr.org/id/eprint/2458 |
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