Open AccessOn non-Abelian infinite-dimensional linear groups
Author(s) -
O. Yu. Dashkova
Publication year - 2021
Publication title -
researches in mathematics
Language(s) - English
Resource type - Journals
eISSN - 2664-5009
pISSN - 2664-4991
DOI - 10.15421/240808
Subject(s) - abelian group , rank of an abelian group , curse of dimensionality , mathematics , rank (graph theory) , elementary abelian group , pure mathematics , class (philosophy) , torsion subgroup , combinatorics , computer science , statistics , artificial intelligence
We study non-Abelian solvable infinite-dimensional linear groups of infinite $p$-rank ($р \geqslant 0$) and of infinite fundamental dimensionality, whose any proper non-Abelian subgroup of infinite $p$-rank has finite fundamental dimensionality. We obtain the description of structure of groups from this class.