On some locally soluble infinite dimensional linear groups
Algebra and discrete mathematics, no. 3 (2008), pp. 40-49
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The author investigates nonabelian locally soluble linear groups of infinite fundamental dimension and of infinite section p-rank all of whose proper nonabelian subgroups of infinite section p-rank are of finite fundamental dimension. The solubility of these groups is proved.
Keywords:
locally soluble group, linear group, fundamental dimension, section p-rank.
@article{ADM_2008_3_a2,
author = {O. Yu. Dashkova},
title = {On some locally soluble infinite dimensional linear groups},
journal = {Algebra and discrete mathematics},
pages = {40--49},
publisher = {mathdoc},
number = {3},
year = {2008},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ADM_2008_3_a2/}
}
O. Yu. Dashkova. On some locally soluble infinite dimensional linear groups. Algebra and discrete mathematics, no. 3 (2008), pp. 40-49. http://geodesic.mathdoc.fr/item/ADM_2008_3_a2/