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IJAC
2007
57views more  IJAC 2007»
13 years 7 months ago
Some Group Theory Problems
This is a survey of some problems in geometric group theory which I find interesting. The problems are from different areas of group theory. Each section is devoted to problems ...
Mark V. Sapir
IJAC
2006
64views more  IJAC 2006»
13 years 7 months ago
Complexity Pseudovarieties Are not Local: Type Ii Subsemigroups Can Fall Arbitrarily in Complexity
We prove the following two results announced by Rhodes: The Type II subsemigroup of a finite semigroup can fall arbitrarily in complexity; the complexity pseudovarieties Cn (n 1) ...
John Rhodes, Benjamin Steinberg
IJAC
2007
73views more  IJAC 2007»
13 years 7 months ago
Computationally and Algebraically Complex Finite Algebra Membership Problems
In this paper we produce a finite algebra which generates a variety with a PSPACE-complete membership problem. We produce another finite algebra with a γ function that grows exp...
Marcin Kozik
IJAC
2007
70views more  IJAC 2007»
13 years 7 months ago
The Free Alternative Superalgebra on One odd Generator
A base of the free alternative superalgebra on one odd generator is constructed. As a corollary, a base of the alternative Grassmann algebra is given. We also find a new element ...
Ivan Shestakov, Natalia Zhukavets
IJAC
2007
85views more  IJAC 2007»
13 years 7 months ago
Limit Groups are Conjugacy Separable
A limit group is a finitely generated subgroup of a residually free group. We prove the result announced in the tittle. 2000 Mathematics Subject Classification: 20E06, 20E08, 20...
S. C. Chagas, Pavel Zalesskii