Automorphisms of Locally Nilpotent FC-Groups.
Automorphisms of metacyclic groups
A metacyclic group can be presented as , , for some , , , . Each endomorphism of is determined by , for some integers , , , . We give sufficient and necessary conditions on , , , for to be an automorphism.
Automorphisms of models of bounded arithmetic
We establish the following model-theoretic characterization of the fragment IΔ₀ + Exp + BΣ₁ of Peano arithmetic in terms of fixed points of automorphisms of models of bounded arithmetic (the fragment IΔ₀ of Peano arithmetic with induction limited to Δ₀-formulae). Theorem A. The following two conditions are equivalent for a countable model of the language of arithmetic: (a) satisfies IΔ₀ + BΣ₁ + Exp; (b) for some nontrivial automorphism j of an end extension of that satisfies IΔ₀. Here is the...
Automorphisms of nearly finite Coxeter groups.
Automorphisms of -groups of maximal class
Automorphisms of -groups with cyclic commutator subgroup
Automorphisms of polynomial semigroups.
Automorphisms of Quaternion-Free 2-Groups.
Automorphisms of regular wreath product -groups.
Automorphisms of right-angled Coxeter groups.
Automorphisms of surface mapping class groups. A recent theorem of N. Ivanov.
Automorphisms of the semigroup of finite complexes of locally finite groups.
Automorphisms of Verardi groups: small upper triangular matrices over rings.
Autonomous automata and closures with the same endomorphism monoids
Autormorphism groups of countable highly homogeneous partially ordererd sets.
Autotopies des quasigroupes et des systèmes associatifs
Autour d'une conjecture de Serge Lang.
Average multiplicative orders of elements modulo n
Avoiding maximal parabolic subgroups of .
Axiomatization of quasigroups
Quasigroups were originally described combinatorially, in terms of existence and uniqueness conditions on the solutions to certain equations. Evans introduced a universal-algebraic characterization, as algebras with three binary operations satisfying four identities. Now, quasigroups are redefined as heterogeneous algebras, satisfying just two conditions respectively known as hypercommutativity and hypercancellativity.