Open AccessTo the question of existence of exact irreducible representations of soluble groups of finite rank over locally finite field
Author(s) -
A. V. Tushev
Publication year - 2021
Publication title -
researches in mathematics
Language(s) - English
Resource type - Journals
eISSN - 2664-5009
pISSN - 2664-4991
DOI - 10.15421/240722
Subject(s) - mathematics , rank (graph theory) , finite field , pure mathematics , irreducible representation , field (mathematics) , locally finite group , combinatorics , abelian group
We find characteristic subgroup of soluble torsion-free group of finite rank, whose structure determines sufficient conditions of existence of exact irreducible representations of the group over locally finite field.