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add the library of groups with at most 14 conjugacy classes #4409

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39 changes: 39 additions & 0 deletions docs/oscar_references.bib
Original file line number Diff line number Diff line change
Expand Up @@ -2489,6 +2489,32 @@ @Article{Tur18
doi = {10.1016/j.algebra.2018.06.013}
}

@Article{V-LV-L85,
author = {Vera López, Antonio and Vera López, Juan},
title = {Classification of finite groups according to the number of conjugacy classes},
mrnumber = {804489},
journal = {Israel J. Math.},
fjournal = {Israel Journal of Mathematics},
volume = {51},
number = {4},
pages = {305--338},
year = {1985},
doi = {10.1007/BF02764723}
}

@Article{V-LV-L86,
author = {Vera López, Antonio and Vera López, Juan},
title = {Classification of finite groups according to the number of conjugacy classes. {II}},
mrnumber = {880291},
journal = {Israel J. Math.},
fjournal = {Israel Journal of Mathematics},
volume = {56},
number = {2},
pages = {188--221},
year = {1986},
doi = {10.1007/BF02766124}
}

@Misc{VE22,
author = {Vaughan-Lee, Michael and Eick, Bettina},
title = {SglPPow, Database of groups of prime-power order for some prime-powers, Version 2.3},
Expand All @@ -2498,6 +2524,19 @@ @Misc{VE22
url = {https://gap-packages.github.io/sglppow/}
}

@Article{VS07,
author = {Vera-López, A. and Sangroniz, Josu},
title = {The finite groups with thirteen and fourteen conjugacy classes},
mrnumber = {2308490},
journal = {Math. Nachr.},
fjournal = {Mathematische Nachrichten},
volume = {280},
number = {5-6},
pages = {676--694},
year = {2007},
doi = {10.1002/mana.200410508}
}

@InCollection{Vin75,
author = {Vinberg, E. B.},
title = {Some arithmetical discrete groups in Lobacevsky spaces},
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15 changes: 15 additions & 0 deletions docs/src/Groups/grouplib.md
Original file line number Diff line number Diff line change
Expand Up @@ -127,6 +127,21 @@ small_group
small_group_identification
```

## Groups with a small number of conjugacy classes

The functions in this section give access to the groups with
up to 14 conjugacy classes.
These groups have been classified in [V-LV-L85](@cite), [V-LV-L86](@cite),
[VS07](@cite).

```@docs
all_groups_with_class_number
has_number_of_groups_with_class_number
has_groups_with_class_number
number_of_groups_with_class_number
group_with_class_number
```

## Atlas of Group Representations

The functions in this section give access to data in the
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