4 papers
Odd Characterizations of Almost Simple Groups (PhD Thesis 2009)
Sarah Astill
In this PhD thesis we discuss methods of recognizing finite groups by the structure of normalizers of certain 3-subgroups. We explain a method for characterizing groups using chara…
A 3-Local Characterization of the Harada--Norton Sporadic Simple Group
Sarah Astill
We provide 3-local characterizations of the Harada--Norton sporadic simple group and its automorphism group. Both groups are examples of groups of parabolic characteristic three an…
A note on groups in which the centraliser of every element of order 5 is a 5-group
Sarah Astill, Chris Parker, Rebecca Waldecker
The main theorem in this article shows that a group of odd order which admits the alternating group of degree 5 with an element of order 5 acting fixed point freely is nilpotent of…
A 3-local characterization of M_12 and SL_3(3)
Sarah Astill, Chris Parker
We identify the sporadic simple group and the simple group from some part of their 3-local structure and give a graph theoretic analogue of the…