Results 11 to 20 of about 5,046 (150)
On the Nielsen-Schreier Theorem in Homotopy Type Theory [PDF]
Logical Methods in Computer Science, 2022 We give a formulation of the Nielsen-Schreier theorem (subgroups of free groups are free) in homotopy type theory using the presentation of groups as pointed connected 1-truncated types.
Andrew W Swan
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Bounds on the Number of Maximal Subgroups of Finite Groups: Applications
Mathematics, 2022 The determination of bounds for the number of maximal subgroups of a given index in a finite group is relevant to estimate the number of random elements needed to generate a group with a given probability.
Adolfo Ballester-Bolinches +2 more
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Groups in which Every Subgroup of Infinite Rank is Nearly Permutable [PDF]
Advances in Group Theory and Applications, 2017 In this paper, the structure of locally finite groups of infinite rank whose subgroups of infinite rank have finite index in a permutable subgroup is investigated.
A.V. De Luca, R. Ialenti
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The number of maximal subgroups and probabilistic generation of finite groups [PDF]
International Journal of Group Theory, 2020 In this survey we present some significant bounds for the number of maximal subgroups of a given index of a finite group. As a consequence, new bounds for the number of random generators needed to generate a finite $d$-generated group with high
Adolfo Ballester Bolinches +3 more
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Generalized Quasinormal Subgroups of Order $p^2$ [PDF]
Advances in Group Theory and Applications, 2016 In a recent paper, Cossey and Stonehewer introduced a generalization of the concept of quasinormal subgroups as a consequence of their discovery of a scarcity of the latter in certain finite $p$-groups of an important universal nature.
Stewart Stonehewer
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Generation of Finite Groups and Maximal Subgroup Growth [PDF]
Advances in Group Theory and Applications, 2020 Let G be a finite group and, for n 2 N, denote by m_n(G) the number of maximal subgroups of G with index n. Let M(G) = sup_{n>2} log m_n(G)/log n and let E_1(G) be the expected number of elements of G which have to be drawn at random, with ...
Andrea Lucchini, Mariapia Moscatiello
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Bicyclic commutator quotients with one non-elementary component [PDF]
Mathematica Bohemica, 2023 For any number field $K$ with non-elementary $3$-class group ${\rm Cl}_3(K)\simeq C_{3^e}\times C_3$, $e\ge2$, the punctured capitulation type $\varkappa(K)$ of $K$ in its unramified cyclic cubic extensions $L_i$, $1\le i\le4$, is an orbit under the ...
Daniel C. Mayer
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On the Residual Finiteness of Some Generalized Products of Soluble Groups of Finite Rank
Моделирование и анализ информационных систем, 2013 Let G be a free product of residually finite virtually soluble groups A and B of finite rank with an amalgamated subgroup H, H 6= A and H 6= B. And let H contains a subgroup W of finite index which is normal in both A and B.
A. V. Rozov
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A note on finite groups with the indice of some maximal subgroups being primes [PDF]
International Journal of Group Theory, 2017 The Theorem 12 in [A note on $p$-nilpotence and solvability of finite groups, J. Algebra 321 (2009) 1555--1560.] investigated the non-abelian simple groups in which some maximal subgroups have primes indices. In this note we show that this
Cui Zhang
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Certain Topological Indices of Non-Commuting Graphs for Finite Non-Abelian Groups
Molecules, 2022 A topological index is a number derived from a molecular structure (i.e., a graph) that represents the fundamental structural characteristics of a suggested molecule.
Fawad Ali +5 more
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