Results 231 to 240 of about 9,681,538 (276)

Primitivity in Free Groups and Free Metabelian Groups

Canadian Journal of Mathematics, 1992
AbstractLet Mn, c denote the free n-generator metabelian nilpotent group of class c. For m ≤ n – 2, every primitive system of m elements of Mn, c can be lifted to a primitive system of m elements of the absolutely free group Fn of rank n. The restriction on m cannot be improved.
Gupta, C. K.   +2 more
openaire   +1 more source

Free Internal Groups

Applied Categorical Structures, 2010
There is given a condition for the existence of free internal groups which generalizes and unifies known results.
openaire   +1 more source

FREE GROUPS OF QUATERNIONS

International Journal of Algebra and Computation, 2004
This paper deals with the study of the free noncommutative group in the multiplicative group of the skewfield of the real Hamilton quaternions. The main results proved in this paper allows us to obtain the following interesting corollary: let G be a subgroup of rational quaternions. Then G is either solvable or contains the free noncommutative group.
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Free Subgroups of Free Topological Groups

1974
It is well known that every subgroup of a free group is a free group. However, it is not true in general that a subgroup of a free topological group is a free topological group.
David C. Hunt, Sidney A. Morris
openaire   +1 more source

k-Free-like groups

Algebra and Logic, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ol'shanskiĭ, A. Yu., Sapir, M. V.
openaire   +2 more sources

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