Results 11 to 20 of about 21,501,912 (352)
AUTOMORPHISM GROUPS OF FREE GROUPS [PDF]
Journal of the Australian Mathematical Society, 2008 Abstract This note contains some remarks on generating pairs for automorphism groups of free groups. There has been significant use of electronic assistance. Little of this is used to verify the results.
Newman, Michael
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Journal of Algebra, 2003 Let \(F_k\) be a free group of rank \(k\). Let \(\overline g\) and \(\overline h\) be \(n\)-tuples of \(F_2\) which satisfy the same existential formulas. It is proved here that there exists an automorphism of \(F_2\) which maps \(\overline g\) to \(\overline h\). The following results are typical: (1) Fix a prime \(p\).
Nies, André
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Finding all solutions of equations in free groups and monoids with involution [PDF]
Information and Computation, 2014 The aim of this paper is to present a PSPACE algorithm which yields a finite graph of exponential size and which describes the set of all solutions of equations in free groups as well as the set of all solutions of equations in free monoids with ...
V. Diekert +2 more
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New Zémor-Tillich Type Hash Functions Over GL2 (𝔽pn)
Journal of Mathematical Cryptology, 2020 We present a large class of new Zémor-Tillich type hash functions whose target space is the finite group GL2(𝔽pn) for any prime p and power n. To do so, we use a novel group-theoretic approach that uses Tits’ “Ping-Pong Lemma” to outline conditions under
Tomkins Hayley +2 more
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The topology and geometry of automorphism groups of free groups [PDF]
, 2016 In the 1970s Stallings showed that one could learn a great deal about free groups and their automorphisms by viewing the free groups as fundamental groups of graphs and modeling their automorphisms as homotopy equivalences of graphs.
K. Vogtmann
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Extensions between functors from free groups [PDF]
, 2015 Motivated in part by the study of the stable homology of automorphism groups of free groups, we consider cohomological calculations in the category F(gr) of functors from finitely generated free groups to abelian groups.
Christine Vespa
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Assembling homology classes in automorphism groups of free groups [PDF]
, 2015 The observation that a graph of rank n can be assembled from graphs of smaller rank k with s leaves by pairing the leaves together leads to a process for assembling homology classes for Out(Fn) and Aut(Fn) from classes for groups Γk,s, where the Γk,s ...
James F. Conant +3 more
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Random extensions of free groups and surface groups are hyperbolic [PDF]
, 2015 In this note, we prove that a random extension of either the free group $F_N$ of rank $N\ge3$ or of the fundamental group of a closed, orientable surface $S_g$ of genus $g\ge2$ is a hyperbolic group.
Samuel J. Taylor, G. Tiozzo
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On quasioutomorphism groups of free groups and their transitivity properties [PDF]
, 2014 We introduce a notion of quasimorphism between two arbitrary groups, generalizing the classical notion of Ulam. We then define and study the category of homogeneous quasigroups, whose objects are groups and whose morphisms are equivalence classes of ...
Tobias Hartnick, Pascal Schweitzer
semanticscholar +1 more source
Antioxidants, 2023 Both acute exercise and regular physical activity (PA) are directly related to the redox system. However, at present, there are data suggesting both positive and negative relationships between the PA and oxidation.
Bartłomiej K. Sołtysik +5 more
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