Results 1 to 10 of about 44,303 (125)

Transitive simple subgroups of wreath products in product action [PDF]

Journal of the Australian Mathematical Society, 2003
A transitive simple subgroup of a finite symmetric group is very rarely contained in a full wreath product in product action. All such simple permutation groups are determined in this paper.
Baddeley, Robert W., Praeger, Cheryl E., Schneider, Csaba   +2 more
core   +3 more sources

Decomposing locally compact groups into simple pieces [PDF]

, 2008
We present a contribution to the structure theory of locally compact groups. The emphasis is on compactly generated locally compact groups which admit no infinite discrete quotient.
Bourbaki, Bourbaki, Bourbaki, Braconnier, Dixmier, Dugundji, Gol′ berg, Gorenstein, Grosser, Hewitt, Kelley, Mozes, NICOLAS MONOD, PIERRE-EMMANUEL CAPRACE, Platonov, Pontrjagin, Ušakov, Weil, Zerling   +18 more
core   +2 more sources

Nonmeasurable subgroups of compact groups [PDF]

, 2014
In 1985 S.~Saeki and K.~Stromberg published the following question: {\it Does every infinite compact group have a subgroup which is not Haar measurable?} An affirmative answer is given for all compact groups with the exception of some metric profinite ...
Hernández, Salvador, Hofmann, Karl H., Morris, Sidney A.   +2 more
core   +5 more sources

Residual properties of free products [PDF]

, 2015
Let C be a class of groups. We give sufficient conditions ensuring that a free product of residually C groups is again residually C, and analogous conditions are given for locally embeddable into C groups.
Berlai, Federico
core   +1 more source

Finiteness results for subgroups of finite extensions [PDF]

, 2014
We discuss in the context of finite extensions two classical theorems of Takahasi and Howson on subgroups of free groups. We provide bounds for the rank of the intersection of subgroups within classes of groups such as virtually free groups, virtually ...
Araujo, Vitor, Silva, Pedro V., Sykiotis, Mihalis   +2 more
core   +2 more sources

Arithmeticity vs. non-linearity for irreducible lattices [PDF]

, 2004
We establish an arithmeticity vs. non-linearity alternative for irreducible lattices in suitable product groups, such as for instance products of topologically simple groups. This applies notably to a (large class of) Kac-Moody groups.
A. Borel, A. Borel, A. Borel, A.I. Mal’cev, A.I. Mal’cev, A.I. Mal’cev, D. Montgomery, G. Prasad, G.A. Margulis, G.D. Mostow, G.P. Hochschild, H. Yamabe, J. Dymara, J. Tits, L. Carbone, M. Burger, M. Burger, M. Goto, M.E.B. Bekka, M.S. Raghunathan, N. A’Campo, Nicolas Monod, R. Pink, T.N. Venkataramana, Y. Shalom   +24 more
core   +1 more source

On strongly just infinite profinite branch groups

, 2016
For profinite branch groups, we first demonstrate the equivalence of the Bergman property, uncountable cofinality, Cayley boundedness, the countable index property, and the condition that every non-trivial normal subgroup is open; compact groups enjoying
Maître, François Le, Wesolek, Phillip
core   +2 more sources

Half-BPS M2-brane orbifolds [PDF]

, 2010
Smooth Freund-Rubin backgrounds of eleven-dimensional supergravity of the form AdS_4 x X^7 and preserving at least half of the supersymmetry have been recently classified.
de Medeiros, Paul, Figueroa-O'Farrill, José   +1 more
core   +2 more sources

Conjugacy in normal subgroups of hyperbolic groups [PDF]

, 2016
Let N be a finitely generated normal subgroup of a Gromov hyperbolic group G. We establish criteria for N to have solvable conjugacy problem and be conjugacy separable in terms of the corresponding properties of G/N.
Martino, Armando, Minasyan, Ashot
core  

Totally disconnected locally compact groups locally of finite rank

, 2015
We study totally disconnected locally compact second countable (t.d.l.c.s.c.) groups that contain a compact open subgroup with finite rank. We show such groups that additionally admit a pro-$\pi$ compact open subgroup for some finite set of primes $\pi ...
Wesolek, Phillip
core   +1 more source