On various rank conditions in infinite groups
Algebra and discrete mathematics, no. 4 (2007), pp. 23-44
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In the current survey the authors consider some of the main theorems concerning groups satisfying certain rank con- ditions. They present these theorems starting with recently estab- lished results. This order of exposition is different, indeed opposite to chronological, but it allows them to present the main develop- ment of the theory. They illustrate the connections between the different ranks emphasizing, in particular, the connection between the special rank and the Hirsch–Zaitsev rank.
Keywords:
rank, Hirsh–Zaitsev rank, special rank.
@article{ADM_2007_4_a3,
author = {M. R. Dixon and L. A. Kurdachenko and I. Ya. Subbotin},
title = {On various rank conditions in infinite groups},
journal = {Algebra and discrete mathematics},
pages = {23--44},
year = {2007},
number = {4},
language = {en},
url = {http://geodesic.mathdoc.fr/item/ADM_2007_4_a3/}
}
M. R. Dixon; L. A. Kurdachenko; I. Ya. Subbotin. On various rank conditions in infinite groups. Algebra and discrete mathematics, no. 4 (2007), pp. 23-44. http://geodesic.mathdoc.fr/item/ADM_2007_4_a3/