In mathematical finite
group theory
In abstract algebra, group theory studies the algebraic structures known as group (mathematics), groups.
The concept of a group is central to abstract algebra: other well-known algebraic structures, such as ring (mathematics), rings, field ( ...
, the Baer–Suzuki theorem, proved by and , states that if any two elements of a
conjugacy class
In mathematics, especially group theory, two elements a and b of a group are conjugate if there is an element g in the group such that b = gag^. This is an equivalence relation whose equivalence classes are called conjugacy classes. In other ...
''C'' of a finite group generate a
nilpotent subgroup, then all elements of the conjugacy class ''C'' are contained in a nilpotent subgroup. gave a short elementary proof.
References
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Theorems about finite groups
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