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arXiv · 1505.00888

Groups of order at most 6 000 generated by two elements, one of which is an involution, and related structures

Primož Potočnik·Pablo Spiga·Gabriel Verret
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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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Primož Potočnik, Pablo Spiga, Gabriel Verret. 2015-05-05. Groups of order at most 6 000 generated by two elements, one of which is an involution, and related structures. https://arxiv.org/abs/1505.00888

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