On infinite groups admitting a faithful irreducible representation
Fernando Szechtman, Anatoliy Tushev
TL;DR
This paper investigates the necessary and sufficient conditions under which an infinite group admits a faithful irreducible representation, providing a comprehensive characterization of such groups.
Contribution
It offers a complete set of criteria for when infinite groups can have faithful irreducible representations, advancing understanding in representation theory.
Findings
Characterization of infinite groups with faithful irreducible representations
Necessary and sufficient conditions established
Enhanced understanding of group representation structures
Abstract
Necessary and sufficient conditions for a group to possess a faithful irreducible representation are investigated
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