Results 21 to 30 of about 3,182 (219)

Boundedly finite conjugacy classes of tensors [PDF]

open access: yesInternational Journal of Group Theory, 2021
Let $n$ be a positive integer and let $G$ be a group‎. ‎We denote by $\nu(G)$ a certain extension of the non-abelian tensor square $G \otimes G$ by $G \times G$‎. ‎Set $T_{\otimes}(G) = \{g \otimes h \mid g,h \in G\}$‎.
Raimundo Bastos, Carmine Monetta
doaj   +1 more source

Q-conjugacy character table for the non-rigid group of 2,3-dimethylbutane [PDF]

open access: yesJournal of the Serbian Chemical Society, 2009
Maturated and unmaturated groups were introduced by the Japanese chemist Shinsaku Fujita, who used them in the markaracter table and the Q-conjugacy character table of a finite group.
Darafsheh Reza Mohammad, Moghani Ali
doaj   +3 more sources

On a Maximal Subgroup of the Affine General Linear Group of GL(6, 2) [PDF]

open access: yesAdvances in Group Theory and Applications, 2021
The affine general linear group 2^5:GL(5, 2) of GL(6, 2) has 6 conjugacy classes of maximal subgroups. The largest maximal subgroup is a group of the form 2^(1+8)_+ : GL(4, 2). In this paper we firstly determine the conjugacy classes of G using the coset
Ayoub B.M. Basheer, Jamshid Moori
doaj   +1 more source

Conjugacy classes contained in normal subgroups: an overview [PDF]

open access: yesInternational Journal of Group Theory, 2018
We survey known results concerning how the conjugacy classes contained in a normal subgroup and their sizes exert an influence on the normal structure of a finite group.
Antonio Beltran   +2 more
doaj   +1 more source

Some problems about products of conjugacy classes in finite groups [PDF]

open access: yesInternational Journal of Group Theory, 2020
‎We summarize several results about non-simplicity‎, ‎solvability and normal structure of finite groups related to the number of conjugacy classes appearing in the product or the power of conjugacy classes‎.
Antonio Beltrán   +2 more
doaj   +1 more source

On the Regular Power Graph on the Conjugacy Classes of Finite Groups [PDF]

open access: yesMathematics Interdisciplinary Research, 2018
The (undirected) power graph on the conjugacy classes PC(G) of a group G  is a simple graph in which the vertices are the conjugacy classes of G and two distinct vertices C and C' are adjacent in PC(G) if one is a subset of a power of the other.
Sajjad Mahmood Robati
doaj   +1 more source

The Projective Special Linear Group PSL(4,2). [PDF]

open access: yesمجلة جامعة الانبار للعلوم الصرفة, 2009
:The present study deals with conjugacy classes for the projective linear group. The study of conjugacy classes has a great and important role; in hand it is an introductory step to study the general linear group and also the maximal subgroup in it.We ...
Muthana A. Mahmood, Alaa Adnan Auad
doaj   +1 more source

The transitivity of primary conjugacy in regular ω-semigroups

open access: yesOpen Mathematics, 2022
The conjugacy relation plays an important role in group theory and the conjugacy relation of groups has been generalized to semigroups in various methods by several authors.
Liu Xin, Wang Shoufeng
doaj   +1 more source

Countably recognizable classes of groups with restricted conjugacy classes [PDF]

open access: yesInternational Journal of Group Theory, 2018
A group class ${ X}$ is said to be countably recognizable if a group belongs to ${X}$ whenever all its countable subgroups lie in ${X}$‎. ‎It is proved here that most of the relevant classes of groups defined by restrictions on the conjugacy classes are ...
Francesco de Giovanni, Marco Trombetti
doaj   +1 more source

Mathieu moonshine and Siegel Modular Forms

open access: yesJournal of High Energy Physics, 2021
A second-quantized version of Mathieu moonshine leads to product formulae for functions that are potentially genus-two Siegel Modular Forms analogous to the Igusa Cusp Form. The modularity of these functions do not follow in an obvious manner.
Suresh Govindarajan, Sutapa Samanta
doaj   +1 more source

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