test whether one group is contained as a subnormal subgroup of another
IsSubnormal( H, G )
A group H is a subnormal subgroup of a group G if H is a subgroup of G, and if there is a chain
such that Gk is normal in Gk-1, for each i. Every normal subgroup of a group is subnormal, but not conversely.
The IsSubnormal( H, G ) command tests whether the group H is a subnormal subgroup of the group G. It returns true if H is subnormal in G, and returns false otherwise. For some pairs H and G of groups, the value FAIL may be returned if IsSubnormal cannot determine whether H is a subnormal subgroup of G.
G ≔ Group⁡Perm⁡1,2,3,6,4,5,7,8,Perm⁡2,5,6,8
H ≔ Subgroup⁡Perm⁡2,5,6,8,G
Every normal subgroup of a group is subnormal.
The GroupTheory[IsSubnormal] command was introduced in Maple 2018.
For more information on Maple 2018 changes, see Updates in Maple 2018.
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