TL;DR
This paper surveys algorithms for subgroup calculation in finite groups and discusses their implementation in the GAP system, aiding computational group theory research.
Contribution
It provides a comprehensive overview of subgroup algorithms and details their implementation in GAP, enhancing practical computational tools.
Findings
Algorithms for subgroup enumeration and identification
Implementation details in GAP software
Performance considerations for subgroup calculations
Abstract
We survey group-theoretic algorithms for finding (some or all) subgroups of a finite group and discuss the implementation of these algorithms in the computer algebra system GAP
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