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$1 \frac{1}{2}$ -generation of finite simple groups.

Stein, Alexander (1998)

Beiträge zur Algebra und Geometrie

(2,3)-generation of the groups PSL6(q)

Tabakov, K., Tchakerian, K. (2011)

Serdica Mathematical Journal

2010 Mathematics Subject Classification: 20F05, 20D06.We prove that the group PSL6(q) is (2,3)-generated for any q. In fact, we provide explicit generators x and y of orders 2 and 3, respectively, for the group SL6(q).

A block-theory-free characterization of $M_{24}$

D. Held, J. Hrabě de Angelis (1989)

Rendiconti del Seminario Matematico della Università di Padova

A characterization of the groups Fi22, Fi23 and F24.

Richard Weiss, John van Bon (1992)

Forum mathematicum

A combinatorial proof of the extension property for partial isometries

Jan Hubička, Matěj Konečný, Jaroslav Nešetřil (2019)

Commentationes Mathematicae Universitatis Carolinae

We present a short and self-contained proof of the extension property for partial isometries of the class of all finite metric spaces.

A cyclically pinched product of free groups which is not residually free.

F. Levin, G. Rosenberger, B. Baumslag (1993)

Mathematische Zeitschrift

A Finitely Presented Solvable Group that is not Residually Finite.

Gilbert Baumslag (1973)

Mathematische Zeitschrift

A finiteness property and an automatic structure for Coxeter groups.

Brigitte Brink, Robert B. Howlett (1993)

Mathematische Annalen

A free group acting without fixed points on the rational unit sphere

Kenzi Satô (1995)

Fundamenta Mathematicae

A Garside presentation for Artin-Tits groups of type ${\tilde{C}}_{n}$

F. Digne (2012)

Annales de l’institut Fourier

We prove that an Artin-Tits group of type $\tilde{C}$ is the group of fractions of a Garside monoid, analogous to the known dual monoids associated with Artin-Tits groups of spherical type and obtained by the “generated group” method. This answers, in this particular case, a general question on Artin-Tits groups, gives a new presentation of an Artin-Tits group of type $\tilde{C}$ , and has consequences for the word problem, the computation of some centralizers or the triviality of the center. A key point of the proof...

A generalized Hopf formula for higher homology groups.

Ralph Stöhr (1989)

Commentarii mathematici Helvetici

A geometric approach to the almost convexity and growth of some nilpotent groups.

Michael Shapiro (1989)

Mathematische Annalen

A geometric invariant for modules over an Abelian group.

Robert Bieri, Ralph Strebel (1981)

Journal für die reine und angewandte Mathematik

A geometric invariant of discrete groups.

W.D. Neumann, R. Bieri, R. Strebel (1987)

Inventiones mathematicae

A geometric study of Fibonacci groups.

Helling, H., Kim, A.C., Mennicke, J.L. (1998)

Journal of Lie Theory

A natural framing of knots.

Greene, Michael, Wiest, Bert (1998)

Geometry & Topology

A new efficient presentation for $P S L (2, 5)$ and the structure of the groups $G (3, m, n)$

Bilal Vatansever, David M. Gill, Nuran Eren (2000)

Czechoslovak Mathematical Journal

$G (3, m, n)$ is the group presented by $〈 a, b ∣ a^{5} = {(a b)}^{2} = b^{m + 3} a^{- n} b^{m} a^{- n} = 1 〉$ . In this paper, we study the structure of $G (3, m, n)$ . We also give a new efficient presentation for the Projective Special Linear group $P S L (2, 5)$ and in particular we prove that $P S L (2, 5)$ is isomorphic to $G (3, m, n)$ under certain conditions.

Currently displaying 1 – 20 of 664