Results 61 to 70 of about 51,537 (200)

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 \(
openaire   +2 more sources

Fusion systems related to polynomial representations of SL2(q)$\operatorname{SL}_2(q)$

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract Let q$q$ be a power of a fixed prime p$p$. We classify up to isomorphism all simple saturated fusion systems on a certain class of p$p$‐groups constructed from the polynomial representations of SL2(q)$\operatorname{SL}_2(q)$, which includes the Sylow p$p$‐subgroups of GL3(q)$\mathrm{GL}_3(q)$ and Sp4(q)$\mathrm{Sp}_4(q)$ as special cases.
Valentina Grazian, Chris Parker, Jason Semeraro, Martin van Beek   +3 more
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
openaire   +2 more sources

Quantization of infinitesimal braidings and pre‐Cartier quasi‐bialgebras

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract In this paper, we extend Cartier's deformation theorem of braided monoidal categories admitting an infinitesimal braiding to the nonsymmetric case. The algebraic counterpart of these categories is the notion of a pre‐Cartier quasi‐bialgebra, which extends the well‐known notion of quasi‐triangular quasi‐bialgebra given by Drinfeld.
Chiara Esposito, Andrea Rivezzi, Jonas Schnitzer, Thomas Weber   +3 more
wiley   +1 more source

Fuzzy Internal Direct Product

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  

Limit groups and groups acting freely on R^n-trees

, 2004
We give a simple proof of the finite presentation of Sela's limit groups by using free actions on R^n-trees. We first prove that Sela's limit groups do have a free action on an R^n-tree.
Bass, Bourbaki, Brown, Chiswell, Chiswell, Gaglione, Gaglione, Kharlampovich, Kharlampovich, Lyndon, Paulin, Pfander, Urbański, Vincent Guirardel   +13 more
core   +1 more source

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\
openaire   +1 more source

p$p$‐adic equidistribution and an application to S$S$‐units

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract We prove a Galois equidistribution result for torsion points in Gmn$\mathbb {G}_m^n$ in the p$p$‐adic setting for test functions of the form log|F|p$\log |F|_p$ where F$F$ is a nonzero polynomial with coefficients in the field of complex p$p$‐adic numbers.
Gerold Schefer
wiley   +1 more source

On Non-Abelian Duality

, 1994
A general study of non-abelian duality is presented. We first identify a possible obstruction to the conformal invariance of the dual theory for non-semisimple groups. We construct the exact non-abelian dual for any Wess-Zumino-Witten (WZW) model for any
Altschuler, Bardacki, Buscher, Buscher, Callan, Callan, de la Ossa, Dijkgraaf, Dijkgraaf, Drouffe, Eguchi, Eguchi, Enrique Álvarez, Friedan, Gasperini, Gawedzki, Gawedzki, Gibbons, Gilkey, Giveon, Giveon, Giveon, Goddard, Green, Hull, Jack, Karabali, Karabali, Kikkawa, Kiritsis, Luis Álvarez-Gaumé, Nair, Polyakov, Polyakov, Roček, Sakai, Shapere, Tseytlin, Witten, Witten, Yolanda Lozano, Álvarez, Álvarez, Álvarez-Gaumé   +43 more
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On the Euler characteristic of S$S$‐arithmetic groups

Journal of the London Mathematical Society, Volume 113, Issue 3, March 2026.
Abstract We show that the sign of the Euler characteristic of an S$S$‐arithmetic subgroup of a simple algebraic group depends on the S$S$‐congruence completion only, except possibly in type 6D4${}^6 D_4$. Consequently, the sign is a profinite invariant for such S$S$‐arithmetic groups with the congruence subgroup property. This generalizes previous work
Holger Kammeyer, Giada Serafini
wiley   +1 more source