| Title |
Energetic formulation of the subgroup commutativity degree |
| Authors |
Muhie, Seid Kassaw ; Otera, Daniele Ettore ; Russo, Francesco G |
| DOI |
10.15388/namc.2026.31.44490 |
| Full Text |
|
| Is Part of |
Nonlinear analysis: modelling and control.. Vilnius : Vilnius University Press. 2026, vol. 31, no. 1, p. 212-236.. ISSN 1392-5113. eISSN 2335-8963 |
| Keywords [eng] |
spectral graph theory ; energy of a graph ; subgroup commutativity degree ; nonpermutability graph of subgroups ; adjacency matrix |
| Abstract [eng] |
Finite groups in which every pair of subgroups (H, K) satisfies H K = K H have been classified by Iwasawa, but only in the last decade it was introduced the notion of subgroup commutativity degree sd(G) of groups G. From restrictions of numerical nature on sd(G) one usually derives structural conditions on G; in fact, among groups G with sd(G) = 1, one finds those originally studied by Iwasawa. Here we offer a new perspective of study for sd(G); we use a recently introduced graph, which is called nonpermutability graph of subgroups ΓL(G) of G, in order to restrict sd(G) via the notion of energy of ΓL(G) and by means of methods of spectral graph theory. In particular, we find new criteria of nilpotence for G along with new bounds for sd(G). |
| Published |
Vilnius : Vilnius University Press |
| Type |
Journal article |
| Language |
English |
| Publication date |
2026 |
| CC license |
|
