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• group family = dicyclic group| ...cle discusses the linear representation theory of [[dicyclic group]]s. The dicyclic group of order $4n$, and degree $n$, is given by the
7 KB (1,024 words) - 20:17, 9 September 2009
• group family = dicyclic group| We consider here the [[dicyclic group]] $\operatorname{Dic}_{4n}$ of degree $n$ and o
1 KB (197 words) - 02:06, 16 January 2013
• ...\ge 2[/itex] is an integer. Then, the following two groups are [[isoclinic groups]]: # The [[dicyclic group]] of degree $m$ and order $4m$.
1 KB (160 words) - 04:55, 9 February 2013

## Page text matches

• For most small orders of groups, knowing the degrees of irreducible representations allows us to compute th ...tency class and order determine degrees of irreducible representations for groups up to prime-fourth order]] (and vice versa too)
15 KB (2,038 words) - 02:28, 28 May 2013
• The '''dicyclic group''', also called the '''binary dihedral group''' with parameter $The dicyclic group with parameter [itex]n$ has order $4n$, and it is an
5 KB (694 words) - 21:47, 21 October 2017
• {{nottobeconfusedwith|[[dicyclic group]] (also called binary dihedral group)}} ...lled [[von Dyck group]]s. They also arise as a special case of a family of groups called [[Coxeter group]]s.
10 KB (1,448 words) - 02:22, 6 July 2019
• Two groups are said to be isoclinic if there is an [[defining ingredient::isoclinism]] Many arithmetic functions associated with groups are invariant under isoclinism, and many group properties are preserved und
9 KB (1,243 words) - 16:41, 29 June 2013
• {{arithmetic function on groups}} ...[[finite group]] is [[cyclic group:Z2]]. However, there are many infinite groups with this property.
12 KB (1,782 words) - 02:26, 7 August 2012
• .... Sophisticated group theorists can read [[equivalence of presentations of dicyclic group]]}} * It is the {{dicyclic group}} with parameter 2, viz $Dic_2$.
11 KB (1,390 words) - 03:36, 10 January 2013
• | [[Groups of order 16]] || Error in permutation representation of [[SmallGroup(16,3)] | [[Order formulas for linear groups]] || Fourth row of table used projective ''general'' linear group instead o
56 KB (8,023 words) - 14:21, 1 June 2020
• ...oup]] || There is a [[subnormal series]] where all the successive quotient groups are [[abelian group]]s. ...able non-nilpotent group of order $pq$. See [[classification of groups of order pq]].
5 KB (712 words) - 22:12, 18 June 2011
• ...numbers are equal to $1$. In fact, we concentrate on centerless groups because the Sylow numbers of a group are the same as those of its quotient ...math> !! $n_3$ !! $n_5$ !! $n_7$ !! Other groups admitting it as quotient by center or hypercenter
4 KB (679 words) - 14:11, 24 August 2010
• ...They generalize respectively to the families of [[dihedral group]]s and [[dicyclic group]]s, and the two families are both similar and different in a number o ...ructure, automorphisms, linear representations, and other places where the groups occur.
5 KB (737 words) - 14:04, 7 September 2011
• ...ble group]]: it has a [[normal series]] where all the quotients are cyclic groups. ...ief series]] where all the successive quotients are [[group of prime order|groups of prime order]].
5 KB (735 words) - 04:21, 16 April 2017
• ==Relation with other groups== ...rthogonal group]] $SO(3,\R)$ have corresponding binary von Dyck groups of interest:
2 KB (359 words) - 04:09, 25 December 2012
• # [[uses::Equivalence of presentations of dicyclic group]] ...th>\langle a_1, b_1, c_1 \rangle[/itex] is isomorphic to a quotient of the dicyclic group with parameter $f(p)$, because it satisfies all the relati
4 KB (738 words) - 16:01, 5 July 2011
• ...somorphic to [[Q16]], order 16), and subgroups of order 12 isomorphic to [[dicyclic group:Dic12]] # The cyclic groups conjugate to $\langle a \rangle$. Isomorphic to [[cyclic group:Z
4 KB (512 words) - 02:18, 2 September 2013
• ...generalized dihedral groups]], [[linear representation theory of dicyclic groups]]}} ==The linear representation theory of dihedral groups of odd degree==
19 KB (2,953 words) - 06:29, 15 May 2015
• group family = dicyclic group| ...cle discusses the linear representation theory of [[dicyclic group]]s. The dicyclic group of order $4n$, and degree $n$, is given by the
7 KB (1,024 words) - 20:17, 9 September 2009
• ...m[/itex]. In particular, they are [[fact about::character table-equivalent groups]].
517 bytes (80 words) - 16:45, 27 August 2009
• #redirect [[linear representation theory of dicyclic groups]]
61 bytes (7 words) - 15:33, 31 August 2009
• For finite dihedral groups, this implies that all irreducible characters (and hence, all characters) a * [[Generalized dihedral groups are ambivalent]]
517 bytes (68 words) - 22:47, 1 September 2009
• ===Related facts about generalized dihedral groups=== * [[Generalized dihedral groups are strongly ambivalent]]
1 KB (157 words) - 20:09, 3 September 2009

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