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Groups with periodic defining relations

Mathematical Notes, 2008
Let \(G\) be a group defined by finitely many relations of the form \(A_i^{n_i}=1\), where all the exponents \(n_i\) are divisible by an odd number \(n\geq 665\) and let \(G\) have no involutions. Then the author shows in this paper that the word and conjugacy problems are solvable for the above \(G\). In the proof, a way similar to that defined in the
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Periodic groups acting freely on abelian groups

Proceedings of the Steklov Institute of Mathematics, 2014
Let \(G\) be a periodic group and let \(\pi\) be a set of primes, then \(G\) is called a \(\pi\)-group if all prime divisors of the order of each element of \(G\) lie in \(\pi\). The subgroup generated by elements of prime order of \(G\) is denoted by \(\Omega(G)\).
Zhurtov, A. Kh.   +3 more
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On periodic groups saturated by finite simple groups

Siberian Mathematical Journal, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Periodic Endomorphisms of Polycyclic Groups

Mediterranean Journal of Mathematics, 2010
Let \(G\) be a polycyclic group. It is a well known fact that any periodic subgroup of \(\Aut(G)\) is finite; on the other hand a semigroup of periodic endomorphisms of \(G\) need not be finite (an element \(\sigma\) of a semigroup \(\Sigma\) is said to be periodic if the semigroup \(\langle\sigma\rangle\) generated by \(\sigma\) is finite; the order ...
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Joins of Periodic Groups

Proceedings of the London Mathematical Society, 1979
Hickin, Kenneth K., Phillips, Richard E.
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ON PERIODIC REPRESENTATIONS OF QUANTUM GROUPS

International Journal of Modern Physics B, 1992
We present some results on representations of quantum groups at the root of unity. In the case of SL(2)q, the classification of the finite dimensional irreducible representations is given. For [Formula: see text] with [Formula: see text] a semi-simple or affine Lie algebra and q an mth root of unity (m odd), we classify the representations of ...
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The Case For Periodic Cancer Detection Examinations

Ca-A Cancer Journal for Clinicians, 1967
V A Gilbertsen
exaly  

Three-periodic nets and tilings: regular and quasiregular nets

Acta Crystallographica Section A: Foundations and Advances, 2003
Omar M Yaghi   +2 more
exaly  

On Periodic Generalized Nilpotent Groups

Bulletin of the London Mathematical Society, 1977
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