Author:
Blackburn Norman,Deaconescu Marian,Mann Avinoam
Abstract
If H, K are subgroups of a group G, then HK is a subgroup of G if and only if HK = KH. This condition certainly holds if H ≤ NG(K) or K ≤ NG(H). But the majority of groups can also be expressed as HK, where neither H nor K is normal. In this paper we consider groups G for which no subgroup G1 can be expressed as the product of non-normal subgroups of G1. Such a group is said to be equilibrated. Thus G is equilibrated if and only if either H ≤ NG(K) or K ≤ NG(H) whenever H, K and HK are subgroups of G.
Publisher
Cambridge University Press (CUP)
Reference10 articles.
1. On prime-power groups with two generators
2. On the factorizations of the linear fractional groups LF(2, pn);Ito;Acta Sci. Math. Szeged,1953
3. On a special class of p-groups
4. Endliche Gruppen I
Cited by
6 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献
1. On finite 2-equilibrated p-groups;Journal of Group Theory;2016-01-01
2. On the subgroup permutability degree of the simple Suzuki groups;Monatshefte für Mathematik;2014-04-17
3. Groups of Prime Power Order, Volume 2;de Gruyter Expositions in Mathematics;2008-01-14
4. Groups of Prime Power Order, Volume 1;de Gruyter Expositions in Mathematics;2008-01-14
5. Finite 2-generator equilibrated p-groups;Science in China Series A: Mathematics;2007-06