Larry,
You should do more legal research than just wikipedia. The actual language of the case says as follows:
We need not decide the merits of this argument because there is at least one provision of the Geneva Conventions that applies here even if the relevant conflict is not one between signatories.FN61 Article 3, often referred to as Common Article 3 because, like Article 2, it appears in all four Geneva Conventions, provides that in a "conflict not of an international character occurring in the territory of one of the High Contracting Parties, each Party FN62 to the conflict shall be bound to apply, as a minimum," certain provisions protecting "[p]ersons taking no active part in the hostilities, including *630 members of armed forces who have laid down their arms and those placed hors de combat by ... detention." Id., at 3318. One such provision prohibits "the passing of sentences and the carrying out of executions without previous judgment pronounced by a regularly constituted court affording all the judicial guarantees which are recognized as indispensable by civilized peoples." Ibid.
The Court makes it clear that Article 3 is applicable to trials for a specific reason. Article 4 is the article dealing with torture.
YAV -
Wikipedia lawyers are fun, but you google lawyers are flat dumb. Try reading the convention and you will see Article 4 applies to
1. Members of the armed forces of a Party to the conflict as well as members of militias or volunteer corps forming part of such armed forces.
2. Members of other militias and members of other volunteer corps, including those of organized resistance movements, belonging to a Party to the conflict and operating in or outside their own territory, even if this territory is occupied, provided that such militias or volunteer corps, including such organized resistance movements, fulfil the following conditions:
(a) That of being commanded by a person responsible for his subordinates;
(b) That of having a fixed distinctive sign recognizable at a distance;
(c) That of carrying arms openly;
(d) That of conducting their operations in accordance with the laws and customs of war.
3. Members of regular armed forces who profess allegiance to a government or an authority not recognized by the Detaining Power.
4. Persons who accompany the armed forces without actually being members thereof, such as civilian members of military aircraft crews, war correspondents, supply contractors, members of labour units or of services responsible for the welfare of the armed forces, provided that they have received authorization from the armed forces which they accompany, who shall provide them for that purpose with an identity card similar to the annexed model.
5. Members of crews, including masters, pilots and apprentices, of the merchant marine and the crews of civil aircraft of the Parties to the conflict, who do not benefit by more favourable treatment under any other provisions of international law.
6. Inhabitants of a non-occupied territory, who on the approach of the enemy spontaneously take up arms to resist the invading forces, without having had time to form themselves into regular armed units, provided they carry arms openly and respect the laws and customs of war.