arXiv Open Access 2025

The Clifford Theory for Modular Representations of Finite Groups

Devjani Basu

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Abstrak

Clifford theory establishes a relation between the representation theory of a finite group and its normal subgroups. In this paper, we establish the Clifford theory for the modular representations of finite groups. The proofs are based on an explicit analysis of the representation spaces and their decompositions. We also analyze the relation between the modular representations of $SL_2(\mathbb{F}_p)$ in defining characteristic, with that of $GL_2(\mathbb{F}_p)$ using the modular Clifford theory.

Topik & Kata Kunci

math.RT

Penulis (1)

Devjani Basu

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APA MLA BibTeX

Basu, D. (2025). The Clifford Theory for Modular Representations of Finite Groups. https://arxiv.org/abs/2503.02163

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Informasi Jurnal

Tahun Terbit: 2025
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓