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Displaying 1 – 15 of 15

$C 55$ -groups.

Dolfi, Silvio, Jabara, Enrico, Lucido, Maria Silvia (2004)

Sibirskij Matematicheskij Zhurnal

Characterization of finite groups by their commuting graph.

Iranmanesh, A., Jafarzadeh, A. (2007)

Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]

Characterization of $SL (2, q)$ by its non-commuting graph.

Abdollahi, Alireza (2009)

Beiträge zur Algebra und Geometrie

Characterization of the alternating groups by their order and one conjugacy class length

Alireza Khalili Asboei, Reza Mohammadyari (2016)

Czechoslovak Mathematical Journal

Let $G$ be a finite group, and let $N (G)$ be the set of conjugacy class sizes of $G$ . By Thompson’s conjecture, if $L$ is a finite non-abelian simple group, $G$ is a finite group with a trivial center, and $N (G) = N (L)$ , then $L$ and $G$ are isomorphic. Recently, Chen et al. contributed interestingly to Thompson’s conjecture under a weak condition. They only used the group order and one or two special conjugacy class sizes of simple groups and characterized successfully sporadic simple groups (see Li’s PhD dissertation). In...

Characters of finite groups and divisibility problems. (Charaktere endlicher Gruppen und Teilbarkeitsfragen.)

Kerber, Adalbert (1981)

Séminaire Lotharingien de Combinatoire [electronic only]

Classification of finite groups with many minimal subgroups and with the number of conjugacy classes of G/S(G) equal to 8.

Antonio Vera López, Jesús María Arregi Lizarraga, Francisco José Vera López (1990)

Collectanea Mathematica

In this paper we classify all the finite groups satisfying r(G/S(G))=8 and ß(G)=r(G) - a(G) - 1, where r(G) is the number of conjugacy classes of G, ß(G) is the number of minimal normal subgroups of G, S(G) the socle of G and a(G) the number of conjugacy classes of G out of S(G). These results are a contribution to the general problem of the classification of the finite groups according to the number of conjugacy classes.

Commuting graphs for partially commutative nilpotent $ℚ$ -groups of class 2.

Mishchenko, A.A., Trejer, A.V. (2007)

Sibirskie Ehlektronnye Matematicheskie Izvestiya [electronic only]

Complements of the socle in almost simple groups

A. Lucchini, F. Menegazzo, M. Morigi (2004)

Rendiconti del Seminario Matematico della Università di Padova

Conjugacy class lengths of metanilpotent groups

Carlo Casolo, Silvio Dolfi (1996)

Rendiconti del Seminario Matematico della Università di Padova

Conjugacy classes in a p-group of maximal class of order p^8

Antonio Vera López, Gustavo A. Fernández Alcober (1989)

Extracta Mathematicae

Conjugacy classes in metacyclic finite groups

Vera López, Antonio, Arregi, Jesús Maria (1992)

Portugaliae mathematica

Constituents of the product of characters in odd order groups.

Gabriel Navarro (1995)

Journal für die reine und angewandte Mathematik

Construction of finite soluble groups. (Konstruktion endlicher auflösbarer Gruppen.)

Laue, Reinhard (1990)

Séminaire Lotharingien de Combinatoire [electronic only]

Counting $p$ -groups and nilpotent groups

Marcus Du Sautoy (2000)

Publications Mathématiques de l'IHÉS

Cyclic and dihedral constructions of even order

Aleš Drápal (2003)

Commentationes Mathematicae Universitatis Carolinae

Let $G (\circ)$ and $G (*)$ be two groups of finite order $n$ , and suppose that they share a normal subgroup $S$ such that $u \circ v = u * v$ if $u \in S$ or $v \in S$ . Cases when $G / S$ is cyclic or dihedral and when $u \circ v \neq u * v$ for exactly $n^{2} / 4$ pairs $(u, v) \in G \times G$ have been shown to be of crucial importance when studying pairs of 2-groups with the latter property. In such cases one can describe two general constructions how to get all possible $G (*)$ from a given $G = G (\circ)$ . The constructions, denoted by $G [α, h]$ and $G [β, γ, h]$ , respectively, depend on a coset $α$ (or two cosets $β$ and $γ$ ) modulo $S$ , and on an...

Currently displaying 1 – 15 of 15

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