Results 61 to 70 of about 52,812 (244)
Imbedded subgroups of abelian groups [PDF]
Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1990 AbstractA subgroupHof an abelianp–groupGis pure inGif the inclusion map ofHintoGis an isometry with respect to the (pseudo-) metrics onHandGassociated with theirp–adic topologies. In this paper, those subgroups (called here imbedded subgroups) of abelian groups for which the inclusion is a homeomorphism with respect to thep–adic topologies are studied,
W. P. Berlinghoff +2 more
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On the finite generation of ideals in tensor triangular geometry
Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.Abstract Inspired by Cohen's characterization of Noetherian commutative rings, we study the finite generation of ideals in tensor triangular geometry. In particular, for an essentially small tensor triangulated category K$\mathcal {K}$ with weakly Noetherian spectrum, we show that every prime ideal in K$\mathcal {K}$ can be generated by finitely many ...
Tobias Barthel
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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Abelian Splittings and JSJ-Decompositions of Bestvina--Brady Groups
, 2021 We give a characterization of Bestvina--Brady groups split over abelian subgroups and describe a JSJ-decomposition of Bestvina--Brady groups.Comment: Fix the proof of Theorem 3.
Chang, Yu-Chan
core
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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Wild conductor exponents of curves
Bulletin of the London Mathematical Society, Volume 58, Issue 5, May 2026.Abstract We give an explicit formula for wild conductor exponents of plane curves over Qp$\mathbb {Q}_p$ in terms of standard invariants of explicit extensions of Qp$\mathbb {Q}_p$, generalising a formula for hyperelliptic curves. To do so, we prove a general result relating the wild conductor exponent of a simply branched cover of the projective line ...
Harry Spencer
wiley +1 more source
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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The fundamental group of the complement of a generic fiber‐type curve
Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.Abstract In this paper, we describe and characterize the fundamental group of the complement of generic fiber‐type curves, that is, unions of (the closure of) finitely many generic fibers of a component‐free pencil F=[f:g]:CP2⤍CP1$F=[f:g]:\mathbb {C}\mathbb {P}^2\dashrightarrow \mathbb {C}\mathbb {P}^1$.
José I. Cogolludo‐Agustín +1 more
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
Towards Donovan's conjecture for abelian defect groups
, 2018 We define a new invariant for a $p$-block, the strong Frobenius number, which we use to address the problem of reducing Donovan's conjecture to normal subgroups of index p.
Eaton, Charles, Livesey, Michael
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