Results 1 to 10 of about 76 (75)
The central subgroup of the nonabelian tensor square of a torsion free space group [PDF]
AIP Conference Proceedings, 2016 Space groups of a crystal expound its symmetry properties. One of the symmetry properties is the central subgroup of the nonabelian tensor square of a group. It is a normal subgroup of the group which can be ascertained by finding the abelianisation of the group and the nonabelian tensor square of the abelianisation group.
Siti Afiqah Mohammad +2 more
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A REFINED WARING PROBLEM FOR FINITE SIMPLE GROUPS
Forum of Mathematics, Sigma, 2015 Let $w_{1}$ and $w_{2}$ be nontrivial words in free groups $F_{n_{1}}$ and $F_{n_{2}}$, respectively. We prove that, for all sufficiently large finite nonabelian simple groups $G$, there exist subsets $C_{1}\subseteq w_{1}(G)$ and $C_{2}\subseteq w_{2}(G)
MICHAEL LARSEN, PHAM HUU TIEP
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Entropy, 2016 Dan Rudolph showed that for an amenable group, Γ, the generic measure-preserving action of Γ on a Lebesgue space has zero entropy. Here, this is extended to nonamenable groups.
Lewis Bowen
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Left ordered groups with no non-abelian free subgroups [PDF]
Journal of Group Theory, 2001 There has been interest recently concerning when a left ordered group is locally indicable. Bergman and Tararin have shown that not all left ordered groups are locally indicable, but all known examples contain a nonabelian free subgroup. We shall show for a large class of groups not containing a nonabelian free subgroup, that any left ordered group in ...
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Approximating nonabelian free groups by groups of homeomorphisms of the real line
Journal of Algebra, 2020 8 pages.
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A Characterization of Procyclic Groups via Complete Exterior Degree
MathematicsWe describe the nonabelian exterior square G∧^G of a pro-p-group G (with p arbitrary prime) in terms of quotients of free pro-p-groups, providing a new method of construction of G∧^G and new structural results for G∧^G.
Bernardo G. Rodrigues +1 more
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, 2012 We correct an error in the proof of the Rohlin-Abramov addition formula for free group actions and point out errors in the proof of Yuzvinskii's addition formula. It is not known if the latter are fixable.
Bowen, Lewis, Gutman, Yonatan
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Ergodic Theory and Dynamical Systems, 2009 AbstractThis paper introduces Markov chains and processes over non-abelian free groups and semigroups. We prove a formula for the f-invariant of a Markov chain over a free group in terms of transition matrices that parallels the classical formula for the entropy a Markov chain. Applications include free group analogues of the Abramov–Rohlin formula for
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Strongly Base-Two Groups. [PDF]
Vietnam J Math, 2023 Burness TC, Guralnick RM.
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Groups with free nonabelian subgroups [PDF]
Pacific Journal of Mathematics, 1970 Krom, Melven, Krom, Myren
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