The Modular Isomorphism Problem for two generated groups of class two

A Class of Two Generated Automaton Groups on a Three Letter Alphabet

The modular isomorphism problem for the groups of order 512

For a prime p let G be a finite p-group and K a field of characteristic p. The Modular Isomorphism Problem (MIP) asks whether the modular group algebra KG determines the isomorphism type of G. We briefly survey the history of this problem and report on our computer-aided verification of the Modular Isomorphism Problem for the groups of order 512 and the field K with 2 elements.

Cohomological Uniqueness, Massey Products and the Modular Isomorphism Problem for 2-groups of Maximal Nilpotency Class

Let G be a finite 2-group of maximal nilpotency class, and let BG be its classifying space. We prove that iterated Massey products inH∗(BG;F2) do characterize the homotopy type of BG among 2-complete spaces with the same cohomological structure. As a consequence we get an alternative proof of the modular isomorphism problem for 2-groups of maximal nilpotency class.

Isomorphism Problem for Finitely Generated Fully Residually Free Groups

We prove that the isomorphism problem for finitely generated fully residually free groups (or F-groups for short) is decidable. We also show that each F-group G has a decomposition that is invariant under automorphisms of G, and obtain a structure theorem for the group of outer automorphisms Out(G).

a case study of the two translators of the holy quran: tahereh saffarzadeh and laleh bakhtiar

بطورکلی، کتاب های مقدسی همچون قران کریم را خوانندگان میتوان مطابق با پیش زمینه های مختلفی که درند درک کنند. محقق تلاش کرده نقش پیش زمینه اجتماعی-فرهنگی را روی ایدئولوژی های مترجمین زن و در نتیجه تاثیراتش را روی خواندن و ترجمه آیات قرآن کریم بررسی کند و ببیند که آیا تفاوت های واژگانی عمده ای میان این مترجمین وجود دارد یا نه. به این منظور، ترجمه 24 آیه از آیات قرآن کریم مورد بررسی مقایسه ای قرار ...