Energy and laplacian energy of graphs related to a family of finite groups / by Rabiha Mahmoud Birkia, 1968-, author, Nor Haniza Sarmin, supervisor, Ahmad Erfanian, supervisor, Fakulti Sains

Energy and laplacian energy of graphs related to a family of finite groups / by Rabiha Mahmoud Birkia, 1968-, author

Order product prime graph and its variations of some finite groups / by Muhammed Bello, 1982-, author 639634, Nor Muhainiah Mohd. Ali, 1981- supervisor 483718, Fakulti Sains 8004

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Order product prime graph and its variations of some finite groups / by Muhammed Bello, 1982-, author 639634

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Influence of weakly H-subgroups of minimal subgroups on the structure of finite groups by Mohammed Mosa Al-Shomrani

“…Let G be a finite group. A subgroup H of G is called an H-subgroup in G if NG(H) \ Hg H for all g in G. …”
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On the Finite Group Which Is a Product of Two Subnormal Supersolvable Subgroups by Yangming Li, Yubo Lv, Xiangyang Xu

“…Let <i>G</i> be a finite group that is a product of two subnormal ( normal) supersolvable subgroups. …”
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On the Subgroups Lattice and Fuzzy Subgroups of Finite Groups U6n by L. Kamali Ardekani, B. Davvaz

“…In this paper, we treat accounting for the number of fuzzy (normal) subgroups of finite groups [Formula: see text]. In order to do this, we use the natural equivalence relation on the set of fuzzy (normal) subgroups of [Formula: see text], which has a consistent group theoretical foundation. …”
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Finite groups whose maximal subgroups of even order are MSN-groups by Wang Wanlin, Guo Pengfei

“…A finite group GG is called an MSN-group if all maximal subgroups of the Sylow subgroups of GG are subnormal in GG. …”
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A new algorithm to compute fuzzy subgroups of a finite group by Adeel Farooq, Musawwar Hussain, Muhammad Yousaf, Ahmad N. Al-Kenani

“…In this paper, we present a novel algorithm that is designed to enumerate the fuzzy subgroups of a finite group. This is achieved through the computation of maximal chains of subgroups. …”
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On connected components and perfect codes of proper order graphs of finite groups by Huani Li, Shixun Lin, Xuanlong Ma

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Some irreducible complex representations of a finite group with BN pair by Kilmoyer, Robert William, 1939-

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A q-player impartial avoidance game for generating finite groups by Benesh, Bret J, Gaetz, Marisa R

“…The game is played by the q players taking turns selecting previously-unselected elements of a finite group. The losing player is the one who selects an element that causes the set of jointly-selected elements to be a generating set for the group, with the previous player winning. …”
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Computational Bounds for Doing Harmonic Analysis on Permutation Modules of Finite Groups by Hansen, Michael, Koyama, Masanori, McDermott, Matthew B. A., Orrison, Michael E., Wolff, Sarah

“…We develop an approach to finding upper bounds for the number of arithmetic operations necessary for doing harmonic analysis on permutation modules of finite groups. The approach takes advantage of the intrinsic orbital structure of permutation modules, and it uses the multiplicities of irreducible submodules within individual orbital spaces to express the resulting computational bounds. …”
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S-Permutability, Semipermutability, c-Normality And c-Permutability Of Subgroups In Finite Groups by Al-Sharo, Doa'a Mustafa

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Order product prime graph and its variations of some finite groups by Bello, Muhammed

“…Moreover, another graph which is commuting order product prime graph of finite groups is defined as the graph whose vertices are the elements of finite groups, and any two vertices are adjacent if and only if they commute and the product of their order is a prime power. …”
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Irreducible representations of some finite groups and galois stability of integral representations by Yahya, Zainab

“…Another part of this research is to explore on the representations of finite groups over algebraic number fields and their orders under field extension. …”
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Energy and laplacian energy of graphs related to a family of finite groups by Birkia, Rabiha Mahmoud

“…the energy of a graph is the sum of the absolute value of the eigenvalues of the adjacency matrix of the graph. this quantity is studied in the context of spectral graph theory. the energy of graph was first defined by gutman in 1978. however, the motivation for the study of the energy comes from chemistry, dating back to the work by hukel in the 1930s, where it is used to approximate the total n-electron energy of molecules. recently, the energy of the graph has become an area of interest to many mathematicians and several variations have been introduced. in this research, new theoretical results on the energy and the laplacian energy of some graphs associated to three types of finite groups, which are dihedral groups, generalized quaternion groups and quasidihedral groups are presented. the main aim of this research is to find the energy and laplacian energy of these graphs by using the eigenvalues and the laplacian eigenvalues of the graphs respectively. the results in this research revealed more properties and classifications of dihedral groups, generalized quaternion groups and quasidihedral groups in terms of conjugacy classes of the elements of the groups. the general formulas for the energy and laplacian energy of the conjugacy class graph of dihedral groups, generalized quaternion groups and quasidihedral groups are introduced by using the properties of conjugacy classes of finite groups and the concepts of a complete graph. moreover, the general formula for the energy of the non-commuting graph of these three types of groups are introduced by using some group theory concepts and the properties of the complete multipartite graph. furthermore, the formulas for the laplacian spectrum of the non-commuting graph of dihedral groups, generalized quaternion groups and quasidihedral groups are also introduced, where the proof of the formulas comes from the concepts of an ac-group and the complement of the graph. graphs associated to the relative commutativity degree of subgroups of some dihedral groups are found as the complete multipartite graphs. some formulas for the characteristic polynomials of the adjacency matrices of the graph associated to the relative commutativity degree of subgroups of some dihedral groups and its generalization for some cases depending on the divisors are presented. finally, the energy and the laplacian energy of these graphs for some dihedral groups are computed.…”
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Theory of finite groups : Applications in physics. Symmetry groups of quantum mechanical systems / by 407949 Jansen, Laurens,1923-, Boon, Michael

Subjects: “…Finite groups…”

Extension of the commutativity degrees of some finite groups and their related graphs [electronic resource] / by Sanaa Mohamed Saleh Omer, 1982-

Locally Finite Groups Saturated with Direct Product of Two Finite Dihedral Groups by A. V. Kukharev, A.A. Shlepkin

Subjects: “…locally finite group…”
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