free constructions of (abstract) groups
On the free profinite products of profinite groups with commuting subgroups
... [9], free constructions (free products, amalgamated free products, HNN-extensions and free prod- ucts with commuting subgroups) of abstract groups were ...amalgamated ...
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Free higher groups in homotopy type theory
... performed constructions will preserve the universe level, hence there is no risk at omitting ...the free ∞ -group F(A) in Section 2, together with some simple ...
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Asymptotics in conjugacy classes for free groups
... We prove Theorem 4.1.1 by considering the analytic properties of a complex gen- erating function. Our analysis of this complex generating function relies on the spectral properties of the transfer operator. We require ...
105
Hecke operators in KK-theory and the K-homology of Bianchi groups
... (both topological and analytic) and noncommutative geometry can be employed in their study. For example, one of our results implies that, in a sense, a period of a Bianchi (or classical) modular form can be interpreted ...
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On free subgroups of finite exponent in circle groups of free nilpotent algebras
... Abstract. Let K be a commutative ring with identity and N the free nilpotent K-algebra on a non- empty set X. Then N is a group with respect to the circle composition. We prove that the subgroup generated ...
12
Some explicit constructions of ternary non-full-rank tilings of abelian groups
... a i ∈ A i . The notion of factorization of an abelian group into subsets was introduced by G. Hajos [1], when he found the answer to a conjecture by H. Minkowski [4], about lattice tiling of R n by unit cubes or clusters ...
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Class two p groups as fixed point free automorphism groups
... irreducible representations are cyclic or the central product of an extra special p group with a cycl i c group of.. That is, all irreducible r epresentations.[r] ...
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More on Strongly Real Beauville Groups
... simple groups. In Sections 4,5 and 6 we will discuss families of groups closely related to these such as characteristically simple groups and almost simple ...nilpotent groups are strongly ...
12
On the cotypeset of torsion-free abelian groups
... Theorem 4. Let A is a group such that any rank two torsion-free quotient of A is non-nil. Then CT(A) is closed under the union of its elements. Proof. Let s, t ∈ CT(A) be two arbitrary elements. Then there exist ...
13
Free ultra-groups, generators and relations
... Although we have an associative property for the groups, but this property is not valid for the binary operation α of the ultra-groups. There- fore, we convent α(a, b, c) = α(α(a, b), c), where a, b, c are ...
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Commutators and Squares in Free Nilpotent Groups
... We prove that in the free nilpotent group F2,3 x1 , x2 of rank 2 and class 3 freely generated by x1 , x2 it is possible to write certain nontrivial commutators as a proper power.. We c[r] ...
10
Groups with context free co word problem
... polycyclic groups and Baumslag–Solitar groups are only co CF -groups when they are virtually ...of groups, but it most definitely cannot work to exclude free ...
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Groups with poly context free word problem
... for groups of derived length at most two and when G is torsion-free (Theorems ...for groups of derived length at most n ≥ 2, and let G have derived length n + 1 and be not virtually ...
120
Statistics in conjugacy classes in free groups
... We associate to the free group a dynamical system called a subshift of finite type. This subshift of finite type is formed from the space of infinite reduced words (with the obvious definition) adjoined to the ...
15
Free subgroups of surface mapping class groups
... The plan of this paper is as follows. In Section 2 we introduce all the background and notation we shall need. In Section 3 we recover the known result that axes of independent pseudo-Anosov mapping classes cannot be ...
13
MODULES OVER LOCALIZED GROUP RINGS FOR GROUPS MAPPING ONTO FREE GROUPS
... Suppose Q is a …eld and F a …nitely-generated free group. In 1964, Paul Cohn proved that all …nitely-generated ideals in the group ring Q [F ] are free as Q [F ]-modules. Using this result, we may also ...
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An Analysis of English Middle Constructions in Research Articles from the Perspective of Systemic Functional Linguistics
... According to Lou’s research (2010) on the language features of research articles (RAs), multi-word constructions, like “subject + action verb + that-clause”, are of high frequency in RAs in order to construct ...
13
Strong amalgamations of lattice ordered groups and modules
... and TSINAKIS, C., "Free products in varieties of/-groups", Lattice Ordered Groups, Klfiwer Acad.. WEINBERG, E.C., "Free lattice-ordered abelian groups", Math.[r] ...
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Free ordered CUG on Chemical Abstract Machine
... Free ordered CUG on Chemical Abstract Machine F r e e o r d e r e d C U G o n C h e m i c M A b s t r a c t ; M z m h i n e S a ~ o s h i T o j o M i t s u b i s h i l { e s e ~ r c h I n s t i t u t[.] ...
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