SOME CONSIDERATIONS ON THE NONABELIAN TENSOR SQUARE OF CRYSTALLOGRAPHIC GROUPS
DOI10.1142/S1793557111000216zbMath1256.20029arXiv0911.5604OpenAlexW3100501453MaRDI QIDQ3013877
Ahmad Erfanian, Francesco G. Russo, Nor Haniza Sarmin
Publication date: 19 July 2011
Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0911.5604
polycyclic groupsHirsch numbersnon-Abelian tensor productsHirsch lengthsnon-Abelian tensor squarespro-\(p\)-groups of finite coclass
Solvable groups, supersolvable groups (20F16) Generalizations of solvable and nilpotent groups (20F19) Homological methods in group theory (20J05) Extensions, wreath products, and other compositions of groups (20E22) Other geometric groups, including crystallographic groups (20H15) Limits, profinite groups (20E18)
Cites Work
- Unnamed Item
- Some computations of non-Abelian tensor products of groups
- The non-Abelian tensor product of finite groups is finite
- Computing the Schur multiplicator and the nonabelian tensor square of a polycyclic group.
- Compatible actions and cohomology of crystallographic groups.
- Schur multiplicators of infinite pro-\(p\)-groups with finite coclass.
- Computing the nonabelian tensor squares of polycyclic groups.
- Van Kampen theorems for diagrams of spaces
- On the nilpotency class and solvability length of nonabelian tensor products of groups
- Infinite two-generator groups of class two and their non-abelian tensor squares.
- Two-generator two-groups of class two and their nonabelian tensor squares
- Infinite metacyclic groups and their non-abelian tensor squares
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