Metacyclic groups of odd order
The work in this thesis was largely motivated by the aim of producing computer
libraries of finite soluble primitive permutation groups with metacyclic point stabilizers.
A classical result of Galois reduces the problem to that of determining
all metacyclic irreducible linear groups over finite prime fields. The central topic
of this thesis is a description of a theoretical approach to the problem for groups
of odd order.
The first part of the thesis is devoted to the determination of the...[Show more]
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