Results 61 to 70 of about 11,420 (266)
Cube complexes and abelian subgroups of automorphism groups of RAAGs [PDF]
Mathematical Proceedings of the Cambridge Philosophical Society, 2019 We construct free abelian subgroups of the group U(AΓ) of untwisted outer automorphisms of a right-angled Artin group, thus giving lower bounds on the virtual cohomological dimension. The group U(AΓ) was studied in [5] by constructing a contractible cube
Benjamin Millard, K. Vogtmann
semanticscholar +1 more source
FTheoryTools: Advancing Computational Capabilities for F‐Theory Research
Fortschritte der Physik, Volume 74, Issue 1, January 2026.Abstract A primary goal of string phenomenology is to identify realistic four‐dimensional physics within the landscape of string theory solutions. In F‐theory, such solutions are encoded in the geometry of singular elliptic fibrations, whose study often requires particularly challenging and cumbersome computations.
Martin Bies +2 more
wiley +1 more source
On Abelian Subgroups ofp-Groups
Journal of Algebra, 1998 Let \(p\) be a prime and let \(G\) be a finite \(p\)-group. Abelian subgroups of the group \(G\) are investigated here. The author generalizes and presents simplified proofs of almost all elementary lemmas from Section 8 of the odd order paper. In particular it is proved, that if \(A2\), and \(\mathcal U\) is the set of all abelian subgroups \(T\) of \(
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Scissors congruence K$K$‐theory for equivariant manifolds
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract We introduce a scissors congruence K$K$‐theory spectrum that lifts the equivariant scissors congruence groups for compact G$G$‐manifolds with boundary, and we show that on π0$\pi _0$, this is the source of a spectrum‐level lift of the Burnside ring‐valued equivariant Euler characteristic of a compact G$G$‐manifold.
Mona Merling +4 more
wiley +1 more source
On Groups Whose Irreducible Character Degrees of All Proper Subgroups are All Prime Powers
Journal of Mathematics, 2021 Isaacs, Passman, and Manz have determined the structure of finite groups whose each degree of the irreducible characters is a prime power. In particular, if G is a nonsolvable group and every character degree of a group G is a prime power, then G is ...
Shitian Liu
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Embedding of Abelian Subgroups in p-Groups [PDF]
Transactions of the American Mathematical Society, 1971 Research concerning the embedding of abelian subgroups in p p -groups generally has proceeded in two directions; either considering abelian subgroups of small index (cf. J. L. Alperin, Large abelian subrgoups of p p -groups, Trans. Amer. Math. Soc. 117 (1965), 10-20) or considering elementary abelian subgroups of small
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On stabilizers in finite permutation groups
Bulletin of the London Mathematical Society, Volume 58, Issue 1, January 2026.Abstract Let G$G$ be a permutation group on the finite set Ω$\Omega$. We prove various results about partitions of Ω$\Omega$ whose stabilizers have good properties. In particular, in every solvable permutation group there is a set‐stabilizer whose orbits have length at most 6, which is best possible and answers two questions of Babai.
Luca Sabatini
wiley +1 more source
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2019 The purpose of this research is to show a constructive method for using known fuzzy groups as building blocks to form more fuzzy subgroups. As we shall describe employing this procedure with the fuzzy generating subgroups give us a large class of ...
L.N.M. Tawfiq
doaj
The conjugacy diameters of non-abelian finite p-groups with cyclic maximal subgroups
AIMS MathematicsLet $ G $ be a group. A subset $ S $ of $ G $ is said to normally generate $ G $ if $ G $ is the normal closure of $ S $ in $ G. $ In this case, any element of $ G $ can be written as a product of conjugates of elements of $ S $ and their inverses.
Fawaz Aseeri , Julian Kaspczyk
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Abelian Subgroups of Pro-2 Galois Groups [PDF]
Proceedings of the American Mathematical Society, 1995 Let \(K\) be a field of characteristic \(\neq 2\). Let \(K(2)\) be its maximal pro-2 Galois extension and set \(G_K(2) = \text{Gal} (K(2)/K)\). The \(a\)-invariant \(a(K)\) of \(K\) is the maximal rank of closed subgroups of \(G_K(2)\) which are tosion-free and abelian. The absolute stability index \(st(K)\) of \(K\) is the minimal positive integer \(m\
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