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2016, Mathematical surveys and monographs, ISBN 9781470429010, Volume no. 215., xvii, 174 pages
"Richard Thompson's famous group FF has the striking property that it can be realized as a dense subgroup of the group of all orientation-preserving homeomorphisms of the unit interval, but it can... 
Geometric group theory | Dimension theory (Algebra) | Homeomorphisms | Numbers, Real
Book
2017, Mathematical surveys and monographs, ISBN 9781470434823, Volume 217, 2 volumes
Book
2015, London Mathematical Society lecture note series, ISBN 1107442885, Volume 416, xii, 281
Reversibility is a thread woven through many branches of mathematics. It arises in dynamics, in systems that admit a time-reversal symmetry, and in group theory... 
Conjugacy classes | Reverse mathematics | Dynamics | Automorphisms | Group theory
Book
Monatshefte für Mathematik, ISSN 0026-9255, 5/2019, Volume 189, Issue 1, pp. 1 - 21
... ) of a group G we determine several subgroups of $$\mathrm{Aut}(Q)$$ Aut ( Q ) and find necessary and sufficient conditions for these subgroups to coincide with the whole group $$\mathrm{Aut}(Q)$$ Aut ( Q... 
20B25 | Automorphism of a quandle | Braid group | 20N02 | 57M27 | Quandle | Mathematics, general | Mathematics | Coxeter group | Enveloping group | MATHEMATICS
Journal Article
Transactions of the American Mathematical Society, ISSN 0002-9947, 01/2019, Volume 371, Issue 1, pp. 105 - 136
Journal Article
International Journal of Mathematics, ISSN 0129-167X, 12/2017, Volume 28, Issue 14, p. 1750101
.... We give a semidirect product topological characterization on the isometry group of a twisted reduced group C... 
Spectral triple | Twisted reduced group C∗ -algebra | Filtration | Discrete group | Isometry group | MATHEMATICS | filtration | twisted reduced group C-algebra | isometry group | spectral triple | QUANTUM METRIC-SPACES | FREDHOLM MODULES | Algebra
Journal Article
Monatshefte für Mathematik, ISSN 0026-9255, 12/2017, Volume 184, Issue 4, pp. 519 - 530
Let G be a group and $$\varphi \in {\text {Aut}}(G)$$ φ ∈ Aut ( G ) . Then the set G equipped with the binary operation $$a*b=\varphi (ab^{-1})b$$ a ∗ b = φ ( a b - 1... 
Central automorphism | Automorphism of quandle | Two-point homogeneous quandle | Knot quandle | 57M27 | Secondary 20B25 | Mathematics, general | Mathematics | Primary 20N02 | Connected quandle | ALEXANDER QUANDLES | MATHEMATICS
Journal Article
Advances in mathematics (New York. 1965), ISSN 0001-8708, 2016, Volume 298, pp. 612 - 653
We introduce the algebraic entropy for endomorphisms of arbitrary abelian groups, appropriately modifying existing notions of entropy... 
Lehmer problem | Abelian group | Group endomorphism | Discrete dynamical system | Mahler measure | Algebraic entropy | Addition Theorem | MATHEMATICS | LCA GROUPS | SPACES | AUTOMORPHISMS | ENDOMORPHISMS
Journal Article
Inventiones mathematicae, ISSN 1432-1297, 2014, Volume 199, Issue 3, pp. 805 - 858
Journal Article
Journal of the European Mathematical Society, ISSN 1435-9855, 2015, Volume 17, Issue 11, pp. 2903 - 2947
Journal Article
Semigroup forum, ISSN 1432-2137, 2017, Volume 96, Issue 1, pp. 178 - 196
We study the structure of groups of finitary tropical matrices under multiplication... 
Algebra | Tropical matrices | Semigroups | Tropical polytopes | Mathematics | Automorphism group | Green’s relations | MATHEMATICS | Green's relations | RANK
Journal Article
Proceedings of the American Mathematical Society, ISSN 0002-9939, 05/2015, Volume 143, Issue 5, pp. 1837 - 1848
Suppose that a finite p admits a Frobenius group of automorphisms FH that is a cyclic p... 
Automorphism | Lie ring | Frobenius group | Finite p-group | Nilpotency class | LIE-ALGEBRAS | MATHEMATICS | ORDER | MATHEMATICS, APPLIED | nilpotency class | RINGS | automorphism
Journal Article
Proceedings of the American Mathematical Society, ISSN 0002-9939, 10/2016, Volume 144, Issue 10, pp. 4135 - 4150
The main result of this paper is a complete classification of the outer automorphism groups of two-generator, one-relator groups with torsion... 
Nielsen equivalence | One-relator groups | Outer automorphism groups | MATHEMATICS | MATHEMATICS, APPLIED | HYPERBOLIC GROUPS | outer automorphism groups | 1-RELATOR GROUPS | FREE PRODUCT | SUBGROUPS | Mathematics - Group Theory
Journal Article
Journal of Algebraic Combinatorics, ISSN 0925-9899, 11/2019, Volume 50, Issue 3, pp. 293 - 315
We study the homology of an explicit finite-index subgroup of the automorphism group of a partially commutative group, in the case when its defining graph is a tree... 
Trees | Mathematics | Betti numbers | Automorphism groups | 20F65 | Lower bounds | Symbolic method | Exponential generating functions | Convex and Discrete Geometry | Order, Lattices, Ordered Algebraic Structures | Group Theory and Generalizations | Combinatorics | Computer Science, general | RAAGs
Journal Article
Selecta mathematica (Basel, Switzerland), ISSN 1420-9020, 2017, Volume 24, Issue 2, pp. 1453 - 1478
We compute the groups $$H^*(\mathrm {Aut}(F_n); M)$$ H∗(Aut(Fn);M) and $$H^*(\mathrm {Out}(F_n); M)$$ H∗(Out(Fn);M) in a stable range, where M is obtained by applying a Schur functor... 
Homology stability | Automorphisms of free groups | 20J06 | Mathematics, general | 20F28 | Mathematics | 57R20 | SPACE | MATHEMATICS | MATHEMATICS, APPLIED | HOMOLOGY | SURFACES | GRAPHS
Journal Article
The bulletin of symbolic logic, ISSN 1943-5894, 2014, Volume 14, Issue 4, pp. 449 - 480
This is an introductory survey of the emerging theory of two new classes of (discrete, countable) groups, called hyperlinear and sofic groups... 
Ultraproducts | Von Neumann algebra | Algebra | Natural numbers | Ultrapowers | Topology | Banach space | Algebraic topology | Topological spaces | MATHEMATICS | EXACTNESS | ULTRAPRODUCTS | CELLULAR-AUTOMATA | CENTRAL-SEQUENCES | REPRESENTATIONS | TENSOR-PRODUCTS | C-ASTERISK-ALGEBRAS | AMENABILITY | AUTOMORPHISMS | LOGIC | CONJECTURE | 03C20 | 20F69 | 37B10 | 46L10
Journal Article
Combinatorica (Budapest. 1981), ISSN 1439-6912, 2015, Volume 36, Issue 4, pp. 371 - 393
Let A be an abelian group and let ι be the automorphism of A defined by: ι: a ↦ a−1. A Cayley graph Γ = Cay(A,S) is said to have an automorphism group as small as possible if Aut... 
20B25 | Mathematics, general | Mathematics | 05E18 | Combinatorics | MATHEMATICS | PERMUTATION-GROUPS | SCHUR RINGS | CYCLIC GROUPS | REGULAR REPRESENTATIONS
Journal Article
ALGEBRAIC AND GEOMETRIC TOPOLOGY, ISSN 1472-2739, 2019, Volume 19, Issue 4, pp. 1747 - 1835
For every group G, we define the set of hyperbolic structures on G, denoted by H... 
GRAPH | MATHEMATICS | TREES | BOUNDED COHOMOLOGY | ACCESSIBILITY | SQ-UNIVERSALITY | AUTOMORPHISMS | SUBGROUPS | COMBINATION | GEOMETRY
Journal Article
Designs, Codes and Cryptography, ISSN 0925-1022, 6/2019, Volume 87, Issue 6, pp. 1227 - 1235
Journal Article
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