-groups and related classes
-nilpotent groups and a Frattini-like subgroup
-quasigroups isotopic to Moufang loops
Factor-group-generated polar spaces and (multi-)qudits.
Factoring a finite Abelian group by prime complexes.
Factoring Abelian groups of order .
Factoring an odd abelian group by lacunary cyclic subsets
It is a known result that if a finite abelian group of odd order is a direct product of lacunary cyclic subsets, then at least one of the factors must be a subgroup. The paper gives an elementary proof that does not rely on characters.
Factoring by nonsubgroup factors.
Factoring Groups and Tiling Space
Factorisations des monoïdes libres, bascules, et algèbres de Lie libres
Factorizable as a finiteness condition.
Factorizable inverse semigroups.
Factorizable semigroups.
Factorization in Krull monoids with infinite class group
Let H be a Krull monoid with infinite class group and such that each divisor class of H contains a prime divisor. We show that for each finite set L of integers ≥2 there exists some h ∈ H such that the following are equivalent: (i) h has a representation for some irreducible elements , (ii) k ∈ L.
Factorization of groups involving symmetric and alternating groups.
Factorization of nonrigid Zariski dense representations of ... of projective algebraic manifolds.
Factorization problems in class number two
Factorization problems in semigroups.
Factorization properties of Krull monoids with infinite class group
For a non-unit a of an atomic monoid H we call the set of lengths of a. Let H be a Krull monoid with infinite divisor class group such that each divisor class is the sum of a bounded number of prime divisor classes of H. We investigate factorization properties of H and show that H has sets of lengths containing large gaps. Finally we apply this result to finitely generated algebras over perfect fields with infinite divisor class group.
Factorization results with combinatorial proofs.