A (2,*)-group is a group that can be generated by two elements, one of which is an involution.We describe the method we have used to produce a census of all (2,*)-groups of order at most 6,000. Various well-known combinatorial structures are closely related to (2,*)-groups and we also obtain censuses of these as a corollary.
Potocnik, P., Spiga, P., Verret, G. (2016). Groups of order at most 6,000 generated by two elements, one of which is an involution, and related structures. In Symmetries in Graphs, Maps, and Polytopes 5th SIGMAP Workshop, West Malvern, UK, July 2014 (pp.273-286). Springer New York LLC [10.1007/978-3-319-30451-9_14].
Groups of order at most 6,000 generated by two elements, one of which is an involution, and related structures
Spiga P.;
2016
Abstract
A (2,*)-group is a group that can be generated by two elements, one of which is an involution.We describe the method we have used to produce a census of all (2,*)-groups of order at most 6,000. Various well-known combinatorial structures are closely related to (2,*)-groups and we also obtain censuses of these as a corollary.
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