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add RECOG.FindSL2inSL3, i.e. find a subgroup isomorphic to SL(2,q) of G isomorphic to SL(3,q).#508

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add RECOG.FindSL2inSL3, i.e. find a subgroup isomorphic to SL(2,q) of G isomorphic to SL(3,q).#508
Till-Eisen wants to merge 3 commits into
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Till-Eisen:FindSL2inSL3

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@Till-Eisen

@Till-Eisen Till-Eisen commented Jun 30, 2026

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Given G isomorphic to SL(3,q) and (odd) q, finds a subgroup that is almost always isomorphic to SL(2,q).

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Perhaps one could implement a loop in the main function that only returns a group until it (almost) surely is isomorphic to SL(2,q).

And also tests should be added.

@Till-Eisen Till-Eisen changed the title add RECOG.FindSL2inSL3, i.e. find a subgroup isomorphic to SL(2,q) of SL(3,q). add RECOG.FindSL2inSL3, i.e. find a subgroup isomorphic to SL(2,q) of G isomorphic to SL(3,q). Jun 30, 2026
@Till-Eisen Till-Eisen added sl_n issue related to sl_n detection (may be resolved by new SL_n code) topic: classical groups related to recognition of classical groups labels Jun 30, 2026
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codecov Bot commented Jun 30, 2026

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Codecov Report

❌ Patch coverage is 16.66667% with 30 lines in your changes missing coverage. Please review.
✅ Project coverage is 88.32%. Comparing base (858e2e7) to head (0ca26f7).
⚠️ Report is 2 commits behind head on master.

Files with missing lines Patch % Lines
gap/projective/sl3_natural.gi 16.66% 30 Missing ⚠️
Additional details and impacted files
@@            Coverage Diff             @@
##           master     #508      +/-   ##
==========================================
- Coverage   88.46%   88.32%   -0.14%     
==========================================
  Files          45       46       +1     
  Lines       19019    19055      +36     
==========================================
+ Hits        16825    16831       +6     
- Misses       2194     2224      +30     
Files with missing lines Coverage Δ
gap/projective/sl3_natural.gi 16.66% <16.66%> (ø)

... and 1 file with indirect coverage changes

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sl_n issue related to sl_n detection (may be resolved by new SL_n code) topic: classical groups related to recognition of classical groups

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Add better code for constructive recognition of SL(3,q) in natural representation

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