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How do I create the character table of the group of units mod n ?

asked 2015-11-06 10:18:17 +0200

nilo de roock gravatar image

updated 2017-01-08 12:04:48 +0200

FrédéricC gravatar image

I expected a character table from

g=Zmod(5).unit_group()
g.character_table()

instead I got an error message ending with

AttributeError: 'AbelianGroupWithValues_class_with_category' object has no attribute 'character_table'

How do I create the character table of the group of units mod n ?

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kcrisman gravatar imagekcrisman ( 2018-12-07 19:32:40 +0200 )edit

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answered 2015-11-06 15:50:31 +0200

vdelecroix gravatar image

You can use gap

sage: g=Zmod(5).unit_group()
sage: g_gap = gap(g)
sage: char = gap.CharacterTable(g_gap)
sage: irr = gap.Irr(char)
sage: gap.Display(irr)
[ [      1,      1,      1,      1 ],
  [      1,     -1,      1,     -1 ],
  [      1,   E(4),     -1,  -E(4) ],
  [      1,  -E(4),     -1,   E(4) ] ]
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See https://trac.sagemath.org/ticket/19329 for a followup that was never implemented to a similar question.

kcrisman gravatar imagekcrisman ( 2018-12-07 19:32:59 +0200 )edit

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Asked: 2015-11-06 10:18:17 +0200

Seen: 471 times

Last updated: Nov 06 '15