2015/04/22 by V. A. Vasilyev, Vladimir A. Vasilyev, Vasilyev, Vladimir A.
Computer Science · Mathematics · #20D10 #20D20 #20D40 #Coding theory and cryptography #Cooperative Communication and Network Coding #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR) #math.GR #msc:20D10 #msc:20D20 #msc:20D40
paper · pdf · doi:10.48550/arxiv.1504.05711
10 pages
arxiv created 2015/04/22 · openalex publication_date 2015/04/22 · arxiv updated 2015/04/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A subgroup H of a finite group G is called submodular in G, if we can connect H with G by a chain of subgroups, each of which is modular (in the sense of Kurosh) in the next. If a group G is supersoluble and every Sylow subgroup of G is submodular in G, then G is called strongly supersoluble. The properties of groups with submodular Sylow subgroups are obtained. In particular, we proved that in a group every Sylow subgroup is submodular if and only if the group is Ore dispersive and every its biprimary subgroup is strongly supersoluble.