# Search results

• {{subgroup-defining function}} ==Relation with other subgroup-defining functions==
15 KB (2,081 words) - 20:14, 1 June 2016
• ==Arithmetic functions== ===Basic arithmetic functions===
19 KB (2,660 words) - 13:15, 14 February 2015
• {{subgroup-defining function}} ==Relation with other subgroup-defining functions==
4 KB (603 words) - 06:49, 20 April 2017
• ==Arithmetic functions== {{compare and contrast arithmetic functions|order=32}}
3 KB (415 words) - 03:34, 6 July 2019
• ==Arithmetic functions==
5 KB (643 words) - 16:32, 21 December 2014
• ==Arithmetic functions== ...ther groups of prime-cube order at [[Groups of prime-cube order#Arithmetic functions]]''}}
10 KB (1,463 words) - 11:21, 22 August 2014
• ...f symmetric group:S3]] || Two minor issues in the Conjugacy class-defining functions section: a dangling math tag in the first row, and a missing cell in the se
55 KB (7,893 words) - 14:36, 6 July 2019
• ===Subgroup-defining functions collapse to trivial subgroup or whole group=== Any [[subgroup-defining function]] (such as the [[center]], the [[derived subgroup]], the [[Frattin
10 KB (1,387 words) - 20:01, 23 April 2014
• ...n the left and the column element on the right'', with the assumption of ''functions written on the left''. ''This means that the column element is applied firs If we used the opposite convention (i.e., functions written on the right), the row element is to be multiplied on the right and
18 KB (2,584 words) - 16:41, 18 January 2015
• ==Arithmetic functions== {{compare and contrast arithmetic functions|order = 24}}
16 KB (2,214 words) - 17:29, 19 May 2014
• ...r inner automorphisms, but under all automorphisms. In particular, every [[subgroup-defining function]] gives rise to a characteristic subgroup. ===Examples using subgroup-defining functions across all groups===
40 KB (4,850 words) - 00:04, 18 March 2019
• ...subgroup]] and [[Frattini subgroup]] in any group are normal. {{further|[[subgroup-defining function value is characteristic]], [[characteristic implies normal]]}} ....1|definition in paragraph}}. This book uses a right action convention for functions. || [http://books.google.com/books?id=VESm0MJOiDQC&pg=PA27 Google Books]
43 KB (5,764 words) - 13:39, 2 August 2018
• ...mputed using the [[GAP:Irr|Irr]] and [[GAP:CharacterTable|CharacterTable]] functions:
33 KB (4,421 words) - 01:36, 27 February 2014
• ==Arithmetic functions==
3 KB (344 words) - 16:16, 29 April 2014
• ==Defining functions== ===Subgroup-defining functions and associated quotient-defining functions===
18 KB (1,952 words) - 01:15, 23 September 2016
• ==Related functions== * [[GAP:IsCharacteristicSubgroup]]: These functions (that are equivalent in terms of external behavior but use somewhat differe
7 KB (1,183 words) - 03:47, 11 September 2016
• ==Related functions==
5 KB (710 words) - 04:28, 11 September 2016
• ==Related functions==
3 KB (394 words) - 04:30, 11 September 2016
• ==Arithmetic functions==
4 KB (491 words) - 22:44, 5 July 2019
• ==Arithmetic functions== {{compare and contrast arithmetic functions|order = 360}}
5 KB (688 words) - 19:27, 23 November 2014

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