On Two Generalizations of Perspective Abelian Groups

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This is a Quantitative Study study.

A. R. Chekhlov; Peter Danchev; Özg ür Taşdemir

doi:10.48550/arxiv.2509.05994

September 7, 2025Open Access

On Two Generalizations of Perspective Abelian Groups

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Key Points

Generalizing perspective abelian groups to IC-groups reveals new structural properties and simplifications.
TP-groups derived from perspective abelian groups show intriguing improvements in their complexity.
Numerous results obtained from these generalizations demonstrate clearer properties of their structures.
These generalizations highlight an important evolution in the understanding of abelian group structures.

Implication

This research generalizes perspective abelian groups to IC-groups and TP-groups, suggesting new structural insights.

Abstract

We are generalizing in two non-trivial ways the recently defined perspective Abelian groups to the so-called IC-groups and TP-groups, respectively, and obtain numerous results in these two directions that can be viewed as improvements on their rather more complicated structures and properties.

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Cite This Study

Chekhlov et al. (2025) studied this question.

synapsesocial.com/papers/68e02f3cf0e39f13e7fa25fd https://doi.org/10.48550/arxiv.2509.05994

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On Two Generalizations of Perspective Abelian Groups

Key Points

Implication

Abstract

Discussion

Cite This Study

On Two Generalizations of Perspective Abelian Groups

Key Points

Implication

Abstract

Discussion

Cite This Study

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