Eamonn A. O'Brien

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We show how automorphisms can be used to reduce signiicantly the resources needed to enforce laws in p-groups. This increases the extent to which Burnside groups with prime-power exponent can be studied in detail. For example, we describe how to construct power-conjugate presentations for the restricted Burnside groups R(5; 4) and R(3; 5) which have orders(More)
In this paper we take a significant step forward in the classification of 3-groups of coclass 2. Several new phenomena arise. Theoretical and computational tools have been developed to deal with them. We identify and are able to classify an important subset of the 3-groups of coclass 2. With this classification and further extensive computations, it is(More)