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Invertible Graphs of Finite Groups
Published 2018-08-01“…We investigate some properties of invertible graphs of finite groups, which are newly defined in this paper. …”
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Sylow multiplicities in finite groups
Published 2018-06-01“…Let $G$ be a finite group and let $mathcal{P}=P_{1},ldots,P_{m}$ be a sequence of Sylow $p_{i}$-subgroups of $G$, where $p_{1},ldots,p_{m}$ are the distinct prime divisors of $leftvert Grightvert $. …”
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Automata diagram for finite groups
Published 2013“…In this paper, the formal definitions for modified finite automata and modified Watson-Crick finite automata over the general case of finite groups are given. In addition, theorems are presented for the determination of a group by using the automaton diagram, and for the recognition of automata devices for groups. …”
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Spectral properties of finite groups
Published 2015“…<p>This thesis concerns the diameter and spectral gap of finite groups. Our focus shall be on the asymptotic behaviour of these quantities for sequences of finite groups arising as quotients of a fixed infinite group.…”
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Algebraic modules for finite groups
Published 2007“…The main focus of this thesis is algebraic modules---modules that satisfy a polynomial equation with integer co-efficients in the Green ring---in various finite groups, as well as their general theory. In particular, we ask the question `when are all the simple modules for a finite group G algebraic?' …”
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Finite groups with Quaternion Sylow subgroup
Published 2021-01-01“…In this paper we show that a finite group $G$ with Quaternion Sylow $2$-subgroup is $2$-nilpotent if, either $3\nmid |G|$ or $G$ is solvable and the order of its Sylow $2$-subgroup is strictly greater than $16$.…”
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Bases in finite groups of small order
Published 2021-06-01Subjects: “…finite group…”
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On regular subgroup functors of finite groups
Published 2022-12-01Subjects: “…finite group…”
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The Non-Coprime Graph of Finite Groups
Published 2022-12-01“…The non-coprime graph Π_G of a finite group G is a graph with the vertexset G-{e}, where two distinct vertices u and v are adjacent if they havenon-coprime orders. …”
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On irreducible projective representations of finite groups
Published 2009-12-01Subjects: Get full text
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On Abelian group representability of finite groups
Published 2014“…A set of quasi-uniform random variables X1,…,Xn may be generated from a finite group G and n of its subgroups, with the corresponding entropic vector depending on the subgroup structure of G. …”
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Journal Article