Results 21 to 30 of about 798,154 (283)
Classification of the pentavalent symmetric graphs of order $8pq$ [PDF]
International Journal of Group Theory, 2022 A graph $X$ is symmetric if its automorphism group is transitive on the arc set of the graph. Let $p$ and $q$ be two prime integers. In this paper, a complete classification is determined of connected pentavalent symmetric graphs of order $8pq$.
Masoumeh Akbarizadeh +2 more
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Nilpotency and Theory of L-Subgroups of an L-Group
Fuzzy Information and Engineering, 2014 In this paper, the notion of commutator is modified and extended to L-setting. Also, the notion of descending central series is introduced which is used to formulate the important notion of nilpotent L-subgroup of an L-group.
Naseem Ajmal, Iffat Jahan
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Centers of subgroups of big mapping class groups and the Tits alternative [PDF]
, 2019 In this note we show that many subgroups of mapping class groups of infinite-type surfaces without boundary have trivial centers, including all normal subgroups.
Lanier, Justin, Loving, Marissa
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Groups with many Subgroups which are Commensurable with some Normal Subgroup [PDF]
Advances in Group Theory and Applications, 2019 A subgroup H of a group G is called commensurable with a normal subgroup (cn) if there is N C G such that |HN/(H ∩ N)| is finite. We characterize generalized radical groups G which have one of the following finiteness conditions: (A) the minimal ...
Ulderico Dardano, Silvana Rinauro
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Maximal Compact Normal Subgroups [PDF]
Proceedings of the American Mathematical Society, 1987 A locally compact group G has a maximal compact subgroup if and only if \(G/G_ 0\) has a maximal compact subgroup (Theorem 1). In a totally disconnected locally compact group (such as \(G/G_ 0\) above), every compact subgroup is contained in an open compact subgroup; in particular, maximal compact subgroups are necessarily open.
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Finite groups with given systems of generalised σ-permutable subgroups
Журнал Белорусского государственного университета: Математика, информатика, 2021 Let σ = {σi|i ∈ I } be a partition of the set of all primes ℙ and G be a finite group. A set ℋ of subgroups of G is said to be a complete Hall σ-set of G if every member ≠1 of ℋ is a Hall σi-subgroup of G for some i ∈ I and ℋ contains exactly one Hall ...
Viktoria S. Zakrevskaya
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Multiplicative Dirac structures on Lie groups [PDF]
, 2008 We study multiplicative Dirac structures on Lie groups. We show that the characteristic foliation of a multiplicative Dirac structure is given by the cosets of a normal Lie subgroup and, whenever this subgroup is closed, the leaf space inherits the ...
Bursztyn +7 more
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Soft intersection abel-grassmann’s groups [PDF]
Journal of Hyperstructures, 2018 This paper is a bridging among soft set theory, set theory and AG-groups, in which soft intersection AG-group (abbreviated by soft int-AG-group) is defined and investigated.
Aman Ullah +4 more
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Subgroups close to normal subgroups
Journal of Algebra, 1989 Let G be a group and H a subgroup. It is shown that the set of indices \(\{\) [H: \(H\cap gHg^{-1}]|\) \(g\in G\}\) has a finite upper bound n if and only if there is a normal subgroup \(N\trianglelefteq G\) which is commensurable with H; i.e., such that [H:N\(\cap H]\) and [N:N\(\cap H]\) are finite; moreover, the latter indices admit bounds depending
Lenstra, H.W., Bergman, G.
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ON SUBGROUPS OF ALMOST AMALGAMATED FREE PRODUCT TWO GROUPS WITH FINITE AMALGAMATED SUBGROUP [PDF]
Vestnik KRAUNC: Fiziko-Matematičeskie Nauki, 2012 Subgroups of groups which can be present as almost free product of two groups with finite amalgamated subgroup are studied.
A.P. Goryushkin
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