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Subindices and subfactors of and -index stability of finite groups
M. H. Hooshmand
We study subindices, subfactors, and index stability in the cyclic group . We prove several theorems that not only confirm a conjecture and resolve some open problems…
Groups in which every Lagrange subset is a factor
M. H. Hooshmand, Stefan Kohl
We determine the finite groups in which every subset of cardinality dividing the order of is a \emph{factor}, i.e. has a complement of cardi…
Computational aspects of subindices and subfactors with characterization of finite index stable groups
M. H. Hooshmand, M. M. Yousefian Arani
Recently, sub-indices and sub-factors of groups with connections to number theory, additive combinatorics, and factorization of groups have been introduced and studied. Since all g…
Complete algorithms for transversals and double coset representatives of subgroups via subfactors
M. H. Hooshmand
Recently, we have introduced and studied the topic of sub-indices and sub-factors of groups. During those studies, an algorithm for obtaining the sub-factors of a finite group was…