JP Journal of Algebra, Number Theory and Applications
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Abstract: A group G
possesses the property with respect to S
if there exists a number such that for each generating set P
of the group G, there exists an
element for which The lowest boundary of such numbers M
is called the U-constant of the given
group G. In this article, we prove
that there exist continuum non- isomorphic infinite simple groups with property whose U-constant
is less than
Keywords and phrases: periodic groups, infinite simple group, groups with (U)-property, Tarski monsters.
