This scholarly inquiry critically examines the pedagogical aspects pertaining to the
instruction and acquisition of Abstract Algebra within the realm of University Mathematics …

Computer minimization of generating subsets (subsets of generators), listed in the
International Tables for Crystallography, has been completed for all 230 Fedorov groups …

Computer minimization of generating subsets (subsets of generators) of cubic Fedorov
groups listed in the International Tables for Crystallography has been performed. The …

The Cayley graphs of crystallographic groups G_ p^ p, constructed on the minimal number
of generators, are discussed. Some theorems on the existence of minimal nets …

All possible minimal sets of generating elements of crystallographic point groups have been
derived. The variety of generating sets for each abstractly distinguishable group is presented …

There is an existing theorem showing that not every group has a minimal generating set, by
relying on a claim that all Proper Subgroups of infinite 𝑃− 𝑃𝑟𝑖𝑚𝑎𝑟𝑦 Group (a group 𝐺 in …

This paper studies independence in semigroup by exploring the relationship between the
concepts of “minimal generating set” as compared to “minimum generating set” using …

We present an algorithm for calculating a minimal generating set of a finite algebra. Despite
the fact that the problem is in NP, a single call to a SAT solver is impractical since the …

By analogy with the Shannon's complexity of graphs, the complexity of minimal generating
subsets of finitely generated discrete groups, including crystallographic ones, was …

The paper studies two numerical characteristics of matrix incidence algebras over finite
fields associated with generating sets of such algebras: the minimal cardinality of a …