September 16, 2025MathematicsOpen Access

Strong Gelfand Pairs of the Symplectic Group Sp4(q) Where q Is Even

View Full Paper

Ask AI

Bookmark

Every irreducible character of H leads to a multiplicity-free character of G.
The study categorizes strong gelfand pairs of symplectic groups Sp4(q) for even values of q.
A strong gelfand pair consists of a finite group G and a subgroup H with specific character properties.
The results enhance the understanding of subgroup dynamics within symplectic groups.

Implication

This classification reveals strong gelfand pairs in Sp4(q) for even q, indicating unique subgroup properties.

Abstract

A strong Gelfand pair (G,H) is a finite group G together with a subgroup H such that every irreducible character of H induces to a multiplicity-free character of G. We classify the strong Gelfand pairs of the symplectic groups Sp4(q) for even q.

Discussion

No takes yet. Share an insight, caveat, or question.

Cite This Study

Humphries et al. (2025) studied this question.

synapsesocial.com/papers/68d4507d31b076d99fa5801d https://doi.org/10.3390/math13182977

View Full Paper

Ask AI

Bookmark

Implication

This classification reveals strong gelfand pairs in Sp4(q) for even q, indicating unique subgroup properties.

Strong Gelfand Pairs of the Symplectic Group Sp4(q) Where q Is Even

Key Points

Implication

Abstract

Discussion

Cite This Study

Strong Gelfand Pairs of the Symplectic Group Sp4(q) Where q Is Even

Key Points

Implication

Abstract

Discussion

Cite This Study

Keep reading

Keep reading