Results 271 to 280 of about 9,759,418 (313)

On the Product of Subsets in Periodic Groups

Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences), 2022
Let \(S\) be a finite subset of a group \(G\). Denote the set of all-possible products of the form \(a_1\cdot a_t\), where \(a_i\in S\) by \(S^{t}\). \textit{M.-C. Chang} [J. Inst. Math. Jussieu 7, No. 1, 1--25 (2008; Zbl 1167.20328)] proved that for any finite subset of the free group not belonging to any cyclic subgroup, there exist constants \(c ...
Atabekyan, V. S., Mikaelyan, V. G.
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Nonunitarizable periodic groups

Mathematical Notes, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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PERIODIC FACTOR GROUPS OF HYPERBOLIC GROUPS

Mathematics of the USSR-Sbornik, 1992
Summary: It is proved that for any noncyclic hyperbolic torsion-free group \(G\) there exists an integer \(n(G)\) such that the factor group \(G/G^ n\) is infinite for any odd \(n \geq n(G)\). In addition, \(\bigcap^ \infty_{i = 1} G^ i = \{1\}\). (Here \(G^ i\) is the subgroup generated by the \(i\)th powers of all elements of the groups \(G\).).
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On periodic groups of automorphisms of extremal groups

Mathematical Notes of the Academy of Sciences of the USSR, 1968
It is proved that if a periodic group $$\mathfrak{G}$$ has an extremal normal divisor $$\mathfrak{N}$$ , determining a complete abelian factor group
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The activity period in group psychotherapy

The Psychiatric Quarterly, 1974
The authors describe their experience with the use of athletics immediately preceding group discussion. They see the activity period as an aid to the display of emotion; an outlet for aggressive energy; and a valuable route for the therapists to here-and-now interaction with the group.
A A, Pelosi, H, Friedman
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INVOLUTORY AUTOMORPHISMS OF PERIODIC GROUPS

International Journal of Algebra and Computation, 1996
Let \(G\) be a finite group of odd order, and let \(\varphi\) be an automorphism of order \(2\) of \(G\) such that the centralizer \(C_G(\varphi)\) is abelian. In this situation it has been proved by \textit{L. G. Kovács} and \textit{G. E. Wall} [Nagoya Math. J.
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Minimally Almost Periodic Groups

The Annals of Mathematics, 1940
Given a group g it is of some interest to decide which elements of g can be “told apart” by almost periodic functions of g or, which is the same thing (cf. below) by finite dimensional bounded linear representations of g. That is: For two a, b ∈ g we define a ~ b by either of these two properties: (I) For every almost periodic function f(x) in g
von Neumann, J., Wigner, Eugene P.
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A renormalization group with periodic behaviour

Physics Letters A, 1979
no ...
Arneodo, A., Coullet, P., Tresser, C.
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Imbedding of countable periodic groups into simple 2-generated periodic groups

Ukrainian Mathematical Journal, 1992
Summary: We prove a theorem on the isomorphic imbedding of an arbitrary countable periodic group \(H\) into a simple 2-generated periodic group \(G\). In addition, we show that for any integers \(k \geq 2\) and \(\ell \geq 3\) the group \(G\) contains a pair of generating elements whose orders are \(k\) and \(\ell\).
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Periodic Resolutions for Finite Groups

The Annals of Mathematics, 1960
In 113] I indicated a proof of the following theorem: THEOREM A. Let w be a finite group of order n. Let d be the greatest common divisor of n and p(n), p being Euler's p-function. Suppose 7r has periodic cohomology of period q. Then there exists a finite simplicial complex X of dimension dq -1 which has the homotopy type of a (dq -1)sphere and on ...
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