Zobrazeno 1 - 10
of 536
pro vyhledávání: '"Cycle graph (algebra)"'
Autor:
Alex Dugas, Bill Trok
Publikováno v:
Communications in Algebra. 46:2428-2439
The class of local self-injective algebras of dihedral type generalizes the group algebras of the dihedral 2-groups over fields of characteristic 2. For any such local self-injective dihedral algeb...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::b8383ef1b482c643feb6fa548fb39a82
https://doi.org/10.1080/00927872.2017.1383998
https://doi.org/10.1080/00927872.2017.1383998
Publikováno v:
Journal of Pure and Applied Algebra. 221:1955-1965
The object of study in this paper is the finite groups whose integral group rings have only trivial central units. Prime-power groups and metacyclic groups with this property are characterized. Metacyclic groups are also classified according to the c
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https://explore.openaire.eu/search/publication?articleId=doi_________::b83fd2c6844c970d153b21e45936888a
https://doi.org/10.1016/j.jpaa.2016.10.017
https://doi.org/10.1016/j.jpaa.2016.10.017
Autor:
Marius Tărnăuceanu
Publikováno v:
Communications in Algebra. 45:4865-4868
In this note we study a class of finite groups for which the orders of subgroups satisfy a certain inequality. In particular, characterizations of the well-known groups $\mathbb{Z}_2\times\mathbb{Z}_2$ and $S_3$ are obtained.
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::eb1e6c496908a23b8143379d44743f4a
https://doi.org/10.1080/00927872.2017.1284228
https://doi.org/10.1080/00927872.2017.1284228
Publikováno v:
Journal of Information and Optimization Sciences. 38:207-218
We represent finite group in the form of a graph, these graphs are called unit graph. In this paper we shall study unit graphs of Symmetric, Quaternion and Heisenberg groups. Also study of different properties like the subgroups of a group, normal su
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https://doi.org/10.1080/02522667.2016.1250455
https://doi.org/10.1080/02522667.2016.1250455
Autor:
Subrata Majumdar, Mohd Altab Hossain
Publikováno v:
Journal of Bangladesh Academy of Sciences. 40:109-115
The cyclic groups, the additive group Q of rational numbers and the additive group R of real numbers are sometimes very useful elements in many studies. In this paper, the authors concentrated their intuition in determining the structures of the auto
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https://doi.org/10.3329/jbas.v40i2.30766
https://doi.org/10.3329/jbas.v40i2.30766
Publikováno v:
Applied Mathematics & Information Sciences. 10:2373-2376
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5c0f044ebfa813011d0324d6a491aa9a
https://doi.org/10.18576/amis/100641
https://doi.org/10.18576/amis/100641
Autor:
D. S. Passman, Chia Hsin Liu
Publikováno v:
Communications in Algebra. 44:3308-3323
We classify two types of finite groups with certain normality conditions, namely SSN groups and groups with all noncyclic subgroups normal. These conditions are key ingredients in the study of the multiplicative Jordan decomposition problem for group
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https://explore.openaire.eu/search/publication?articleId=doi_________::b5477cf8a15daf5a9fea7219957c9ace
https://doi.org/10.1080/00927872.2015.1044104
https://doi.org/10.1080/00927872.2015.1044104
Autor:
Markku Niemenmaa, Emma Leppälä
Publikováno v:
Communications in Algebra. 44:1569-1573
We say that groups, which are isomorphic to inner mapping groups of finite loops, are loop capable. Let p and q be distinct prime numbers, S a nonabelian group of order pq, and C a finite nontrivial cyclic group such that gcd (|S|, |C|) = 1. We show
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https://doi.org/10.1080/00927872.2015.1027366
https://doi.org/10.1080/00927872.2015.1027366
Autor:
Mohammad Zarrin
Publikováno v:
Algebra Colloquium. 23:105-110
Li and Zhao studied groups with a few conjugacy classes of non-cyclic subgroups. In this paper we study groups with a few non-cyclic subgroups. In fact, among other things, we give some sufficient conditions on the number of non-cyclic subgroups of a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::41d466852e17136fdc240afa98c9dcf8
https://doi.org/10.1142/s1005386716000134
https://doi.org/10.1142/s1005386716000134
Publikováno v:
Mathematics; Volume 6; Issue 4; Pages: 57
Mathematics, Vol 6, Iss 4, p 57 (2018)
Mathematics, Vol 6, Iss 4, p 57 (2018)
Let G be a finite group. The prime graph Γ ( G ) of G is defined as follows: The set of vertices of Γ ( G ) is the set of prime divisors of | G | and two distinct vertices p and p ′ are connected in Γ ( G ) , whenever G contains an element of or
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