A Combinatorial Problem in Infinite
Group
Bulletin of the Malaysian Mathematical Society, Tome 25 (2002) no. 2
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Let be a word in the free group of rank and let be the variety of groups defined by the law . Define to be the class of all groups in which for any infinite subsets there exist , , such that . Clearly, ; being the class of finite groups. In this paper, we investigate some words w and some certain classes of groups for which the equality holds.
@article{BMMS_2002_25_2_a1,
author = {Alireza Abdollahi},
title = {A {Combinatorial} {Problem} in {Infinite
} {Group}},
journal = {Bulletin of the Malaysian Mathematical Society},
year = {2002},
volume = {25},
number = {2},
url = {http://geodesic.mathdoc.fr/item/BMMS_2002_25_2_a1/}
}
Alireza Abdollahi. A Combinatorial Problem in Infinite
Group. Bulletin of the Malaysian Mathematical Society, Tome 25 (2002) no. 2. http://geodesic.mathdoc.fr/item/BMMS_2002_25_2_a1/