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

A. S. Detinko

doi:10.1023/A:1013532103425

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

A. S. Detinko

Polotsk State University

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

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.

Original language	English
Pages (from-to)	942-950
Number of pages	9
Journal	Journal of Mathematical Sciences
Volume	108
Issue number	6
DOIs	https://doi.org/10.1023/A:1013532103425
Publication status	Published - 1 Mar 2002
Externally published	Yes

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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.",

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

Abstract

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