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A New GAP Group Library for Irreducible Maximal Solvable Subgroups of Prime Degree Classical Groups

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Abstract

These notes are concerned with the problem of creating new group libraries for the group-theory computer system GAP (groups, algorithms, and programming). Our main objective is to develop efficient algorithms that produce a list of maximal solvable subgroups of special linear groups of prime degree over a finite field and to implement it as part of the GAP. Bibliography: 5 titles.

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REFERENCES

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Detinko, A.S. A New GAP Group Library for Irreducible Maximal Solvable Subgroups of Prime Degree Classical Groups. Journal of Mathematical Sciences 108, 942–950 (2002). https://doi.org/10.1023/A:1013532103425

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  • DOI: https://doi.org/10.1023/A:1013532103425

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