Results 21 to 30 of about 210 (120)

PRODUCTS OF FREE GROUPS IN LIE GROUPS [PDF]

, 2020
For every Lie group G, we compute the maximal n such that an n-fold product of nonabelian free groups embeds into ...
Campagnolo, Caterina, Kammeyer, Holger
core   +2 more sources

Left ordered groups with no non-abelian free subgroups [PDF]

Journal of Group Theory, 2001
There has been interest recently concerning when a left ordered group is locally indicable. Bergman and Tararin have shown that not all left ordered groups are locally indicable, but all known examples contain a nonabelian free subgroup. We shall show for a large class of groups not containing a nonabelian free subgroup, that any left ordered group in ...
openaire   +3 more sources

A homological invariant of certain torsion free crystallographic groups [PDF]

, 2020
Several homological invariants namely the nonabelian tensor square, the exterior square and the Schur multiplier of groups have been of research interests by group theorists over the years.
Sarmin, Nor Haniza, Mat Hassim, HazzirahIzzati, Mohd. Ali, Nor Muhainiah   +2 more
core   +1 more source

Free Unit Groups in Group Algebras [PDF]

, 2001
Let K[G] denote the group algebra of a finite group G over a field K. If either char K=0 and G is nonabelian, or K is a nonabsolute field of characteristic π>0 and G/Oπ(G) is nonabelian, then it is well known that the group of units U(K[G]) contains a ...
Passman, D.S, Gonçalves, J.Z
core   +1 more source

On the structure of the augmentation quotient group for some nonabelian 2-groups [PDF]

, 1974
summary:Let $G$ be a finite nonabelian group, ${\mathbb Z}G$ its associated integral group ring, and $\triangle (G)$ its augmentation ideal. For the semidihedral group and another nonabelian 2-group the problem of their augmentation ideals and quotient ...
Franz Bachmann, Luzius Grünenfelder, Zhao, Huifang, Nan, Jizhu, Grünenfelder, Luzius, Bachmann, Franz   +5 more
core   +1 more source

Elementary properties of free groups [PDF]

, 1973
In this paper we show that several classes of elementary properties (properties definable by sentences of a first order logic) of groups hold for all nonabelian free groups.
George S. Sacerdote
core   +1 more source

A Characterization of Procyclic Groups via Complete Exterior Degree

Mathematics
We describe the nonabelian exterior square G∧^G of a pro-p-group G (with p arbitrary prime) in terms of quotients of free pro-p-groups, providing a new method of construction of G∧^G and new structural results for G∧^G.
Bernardo G. Rodrigues, Francesco G. Russo   +1 more
doaj   +1 more source

The nonabelian tensor square of Bieberbach group of dimension five with dihedral point group of order eight [PDF]

, 2014
The nonabelian tensor product was originated in homotopy theory as well as in algebraic K-theory. The nonabelian tensor square is a special case of the nonabelian tensor product where the product is defined if the two groups act on each other in a ...
Wan Mohd. Fauzi, Wan Nor Farhana, Wan Nor Farhana Wan Mohd Fauzi, Sarmin, Nor Haniza, Nor Haniza Sarmin, Rohaidah Masri, Mohd. Idrus, Nor'ashiqin, Masri, Rohaidah, Nor'ashiqin Mohd Idrus   +7 more
core   +1 more source

Relative order and spectrum in free and related groups [PDF]

, 2022
We consider a natural generalization of the concept of order of an element in a group: an element g ¿ G is said to have order k in a subgroup H (resp., in a coset Hu) of a group G if k is the first strictly positive integer such that gk ¿ H (resp., gk ¿
Ventura Capell, Enric, Delgado Rodríguez, Jordi, Zakharov, Alexander   +2 more
core   +1 more source

Corrigendum to "Nonabelian free group actions: Markov processes, the Abramov- Rohlin formula and Yuzvinskii's formula"

, 2012
We correct an error in the proof of the Rohlin-Abramov addition formula for free group actions and point out errors in the proof of Yuzvinskii's addition formula. It is not known if the latter are fixable.
Bowen, Lewis, Gutman, Yonatan
openaire   +2 more sources