MD Pérez-Ramos’s research while affiliated with University of Valencia and other places

... In general, the question of pronormality of a subgroup in a direct product of finite groups is natural and was studied in some special cases. For example, Brewster et al. [2] have given criteria to characterize abnormal, pronormal and locally pronormal subgroups of a direct product of two finite groups A × B, under hypotheses of solvability for at least one of the factors, either A or B (see for some details Lemma 9 in Sec. 2). ...

Reference:

On the pronormality of subgroups of odd index in some direct products of finite groups

... Rose [13,Lemma 2] used the main diagonal subgroup to characterize the central and hypercentral factors of a group. Evan [8] and Brewster et al. [6] provided some sufficient and necessary conditions for a diagonal-type subgroup of G × G to be a permutable subgroup. In the survey article [5], the authors investigated various embeddings of subgroups in direct products. ...

Reference:

How does Diagonal Subgroup Embedding Determine the Structure of a Group?

... монографию [1]). Результат, связанный с тотальной перестановочностью, получил обобщение в [4][5][6]. ...

Reference:

On Supersolubility of a Group with Seminormal Subgroups

... These factorized groups are said to be the product of the totally permutable subgroups A and B by R. Maier in[33]. Later on, a deep understanding of the structure of such groups has been reached and this study has been extended both in the frameworks of formation theory (see[7]–[10],[12],[15],[16],[33]) as well as in the theory of Fitting classes ([22]–[24]). A detailed account on this topic can be found in the book[5]. ...

Reference:

On conditional permutability and factorized groups