TY - JOUR
AU - Rawdah Adawiyah Tarmizi
AU - Hajar Sulaiman
PY - 2021/02/18
Y2 - 2021/05/07
TI - Characterisation of 5-groups having a X11-covering with Core-free Intersection
JF - Journal of Science and Mathematics Letters
JA - JSML
VL - 9
IS - 0
SE - Articles
DO - 10.37134/jsml.vol9.sp.3.2021
UR - https://ejournal.upsi.edu.my/index.php/JSML/article/view/4804
AB - Let G be a finite group. If there is a set containing n proper subgroups in G whose union comprises all elements of G, then G is a coverable group. The set of n proper subgroups is called an n-covering for G and the minimum number of n covers G is 3, so this means. If the n-covering has no proper subset that also covers G then it is called an irredundant n-covering for G and it is called a maximal n-covering if it consists of only maximal subgroups. A maximal irredundant n-covering with a core-free intersection is known as a Cn-covering. This study characterizes 5-groups having a C11-covering. It was found that a 5-group has a C11-covering if and only if it is isomorphic to some elementary abelian groups of a certain order.
ER -