Results 21 to 30 of about 157,688 (264)
Finite Groups whose Cyclic Subnormal Subgroups Satisfy Certain Permutability Conditions [PDF]
Advances in Group Theory and Applications, 2016 Finite groups in which each cyclic subnormal subgroup is semipermutable, S-semipermutable or seminormal are investigated.
A. Ballester-Bolinches +2 more
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Integral forms in vertex operator algebras, a survey [PDF]
International Journal of Group Theory, 2020 We give a brief survey of recent work on integral forms in vertex operator algebras (VOAs).
Robert Griess
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Extraspecially Irreducible Groups [PDF]
Advances in Group Theory and Applications, 2016 Given distinct prime numbers $q$ and $r$, we construct a semidirect product $CR$ with $R\vartriangleleft CR$, where $C$ is a cyclic group of order $q$, and $R$ is an extraspecial $r$-group, such that $C$ centralizes $R'$, and $R$ is minimal among the ...
R. Dark, A.D. Feldman, M.D. Pérez-Ramos
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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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Journal of Pure and Applied Algebra, 2011 We call a group $G$ {\it algorithmically finite} if no algorithm can produce an infinite set of pairwise distinct elements of $G$. We construct examples of recursively presented infinite algorithmically finite groups and study their properties. For instance, we show that the Equality Problem is decidable in our groups only on strongly (exponentially ...
Myasnikov, Alexei, Osin, Denis
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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 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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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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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 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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