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New Features:
- The algorithm of Roney-Dougal for testing conjugacy of subgroups in
GL(n, q) has been implemented (IsGLConjugate).
- Magma can now determine whether a matrix group modulo scalars has an
equivalent representation over a smaller field using an algorithm due to
Leedham-Green and O'Brien.
- A matrix group may be tested for being perfect without computing a base
and strong generating set by a Monte-Carlo algorithm due to Leedham-Green
and O'Brien.
- A function is available to recognize if a group of odd prime degree is
contained in the normaliser of an extra-special group. This uses an algorithm
of Niemeyer and was implemented in Magma by O'Brien.
Next: Finite Soluble Groups [HB
Up: Groups
Previous: Permutation Groups [HB 18]