Results 21 to 30 of about 180,428 (314)
A new approach to character-free proof for Frobenius theorem [PDF]
AUT Journal of Mathematics and Computing, 2023 Let G be a Frobenius group. Using character theory, it is proved that the Frobenius kernel of G is a normal subgroup of G, which is well-known as a Frobenius theorem. There is no known character-free proof for Frobenius theorem. In this note, we prove it,
Seyedeh Fatemeh Arfaeezarandi +1 more
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FINITELY ANNIHILATED GROUPS [PDF]
Bulletin of the Australian Mathematical Society, 2014 AbstractIn 1976, Wiegold asked if every finitely generated perfect group has weight 1. We introduce a new property of groups,finitely annihilated, and show that this might be a possible approach to resolving Wiegold’s problem. For finitely generated groups, we show that in several classes (finite, solvable, free), being finitely annihilated is ...
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Finite groups whose intersection power graphs are toroidal and projective-planar
Open Mathematics, 2021 The intersection power graph of a finite group GG is the graph whose vertex set is GG, and two distinct vertices xx and yy are adjacent if either one of xx and yy is the identity element of GG, or ⟨x⟩∩⟨y⟩\langle x\rangle \cap \langle y\rangle is non ...
Li Huani, Ma Xuanlong, Fu Ruiqin
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Finite Groups as Isometry Groups [PDF]
Transactions of the American Mathematical Society, 1976 We show that given any finite group G of cardinality k + 1 k + 1 , there is a Riemannian sphere S k − 1 {S^{k - 1}} (imbeddable isometrically as a hypersurface in R
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Quotient Groups of Finite Groups [PDF]
Proceedings of the American Mathematical Society, 1984 Assume H H and H 0 {H_0} are subgroups of the finite group G G with H 0 ⧋ H H_0 \triangleubar H .
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On connected components and perfect codes of proper order graphs of finite groups [PDF]
Proceedings of the Estonian Academy of SciencesLet G be a finite group with the identity element e. The proper order graph of G, denoted by â* (G), is an undirected graph with a vertex set G \ {e}, where two distinct vertices x and y are adjacent whenever o(x) | o(y) or o(y) | o(x), where o(x) and ...
Huani Li, Shixun Lin, Xuanlong Ma
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Convergence of random walks on double transitive group generated by its permutational character
Visnik Harkivsʹkogo Nacionalʹnogo Universitetu im. V.N. Karazina. Cepiâ Matematika, Prikladna Matematika i Mehanika, 2019 Let $P$ be a probability on a finite group $G$, $U(g)=\frac{1}{|G|}$ the uniform (trivial) probability on the group $G$, $P^{(n)}=P *\ldots*P$ an $n$-fold convolution of $P$.
Aleksandr L. Vyshnevetskiy
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Complete Groups of Order $3p^6$ [PDF]
Advances in Group Theory and Applications, 2016 For each prime number $p$ with $3 | p − 1$, we construct a group of order $3p^5$, whose automorphism group is a complete group of order $3p^6$.
M. John Curran, Rex S. Dark
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A survey on projectively equivalent representations of finite groups [PDF]
Surveys in Mathematics and its Applications, 2020 The paper is a survey type article in which we present some results on projectively equivalent representations of finite groups.
Tania Luminiţa Costache
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On σ-Residuals of Subgroups of Finite Soluble Groups
Mathematics, 2023 Let σ={σi:i∈I} be a partition of the set of all prime numbers. A subgroup H of a finite group G is said to be σ-subnormal in G if H can be joined to G by a chain of subgroups H=H0⊆H1⊆⋯⊆Hn=G where, for every j=1,⋯,n, Hj−1 is normal in Hj or Hj/CoreHj(Hj−1)
A. A. Heliel +3 more
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