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nilpotent groups are supersolvable. The concept is credited to work in the 1930s by Russian mathematician Sergei Chernikov. Nilpotent groups arise in Galois...15 KB (1,912 words) - 21:27, 23 September 2024- of the group, there is a subgroup of that order. It is known that a CLT group must be solvable and that every supersolvable group is a CLT group. However...17 KB (2,248 words) - 19:54, 17 October 2024
- uncountable groups are not supersolvable. In fact, all supersolvable groups are finitely generated, and an abelian group is supersolvable if and only...18 KB (3,033 words) - 08:35, 27 October 2024
- {\mathfrak {A}}~} : the class of abelian groups U {\displaystyle {\mathfrak {U}}~} : the class of finite supersolvable groups N {\displaystyle {\mathfrak {N}}~}...5 KB (929 words) - 13:37, 18 April 2023
- Longest element of a Coxeter group Parabolic subgroup of a reflection group Supersolvable arrangement In some contexts, the naming scheme may be extended to...35 KB (3,758 words) - 10:19, 16 October 2024
- can be shown to hold for any supersolvable group, which includes nilpotent groups and, in particular, elementary groups.) This ability to induce representations...105 KB (21,307 words) - 20:52, 9 October 2024
