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March 29, 2026Journal of Lie theoryOpen Access

Zariski Dense Subgroups of Semisimple Algebraic Groups with Isomorphic p-adic Closures

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The primary aim is to establish conditions for the finiteness of isomorphism classes of Zariski dense subgroups in semisimple algebraic groups with isomorphic p-adic closures.
Demonstrated theoretical proofs under natural conditions.
Analyzed structural properties of semisimple algebraic groups.
Explored relationships between group structures and p-adic closures.
Found that under specified conditions, only a finite number of isomorphism classes exist.
Established connections efficiently between Zariski dense subgroups and p-adic properties.

Implication

Research proves finiteness of isomorphism classes of Zariski dense subgroups in semisimple groups, indicating structural constraints.

Abstract

We prove under certain natural conditions the finiteness of the number of isomorphism classes of Zariski dense subgroups in semisimple groups with isomorphic p -adic closures.

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Cite This Study

N. Q. Thang (2003) studied this question.

synapsesocial.com/papers/69c8c115de0f0f753b39bb93 https://doi.org/10.5802/jolt.289

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Implication

Research proves finiteness of isomorphism classes of Zariski dense subgroups in semisimple groups, indicating structural constraints.

Abstract

We prove under certain natural conditions the finiteness of the number of isomorphism classes of Zariski dense subgroups in semisimple groups with isomorphic p -adic closures.

Zariski Dense Subgroups of Semisimple Algebraic Groups with Isomorphic p-adic Closures

Key Points

Implication

Abstract

Discussion

Cite This Study

Zariski Dense Subgroups of Semisimple Algebraic Groups with Isomorphic p-adic Closures

Key Points

Implication

Abstract

Discussion

Cite This Study

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