bio | website | halgebra.math.msu.su/staff/… |
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location | Moscow | |
age | ||
visits | member for | 2 years, 4 months |
seen | yesterday | |
stats | profile views | 1,167 |
Oct 9 |
comment |
Two questions about axiomatic rank of groups
@M.Shahryari, no way. Consider the variety of abelian groups. It satisfies the metabelian law $[[x,y],[z,t]]=1$ or the nilpotency law $[[x,y],z]=1$. Do you believe that these laws are equivalent to two-variable laws? |
Oct 8 |
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Two questions about axiomatic rank of groups
To question 1 the answer is obviously negative. Just consider the trivial variety, it has finite axiomatic rank but satisfies all identities. |
Aug 27 |
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Are infinite groups “locally topologizable”?
It is on page 339 of English edition. Unfortunately, Google preview rejects to show this page to me (but I may read the table of contents). |
Aug 26 |
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Are infinite groups “locally topologizable”?
I have a Russian edition. This is Chapter 10, Section 31, Subsection 3. |
Aug 25 |
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Invariant planes of a nilpotent matrix with two Jordan blocks of size two
This is the description of all of them, because any invariant subspace containing a vector $v$ shoud contain $Nv$. |
Aug 25 |
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Invariant planes of a nilpotent matrix with two Jordan blocks of size two
Take any vector $v$ not belonging to the kernel of $N$ and consider the space $\langle v,Nv\rangle$. This family and the kernel of $N$ are all spaces you ask about. |
Aug 24 |
awarded | Self-Learner |
Aug 23 |
answered | A sequence of subsets of an infinite group |
Aug 23 |
answered | Are infinite groups “locally topologizable”? |
Aug 23 |
comment |
A sequence of subsets of an infinite group
A related question: mathoverflow.net/q/179177/24165 . |
Aug 23 |
asked | Are infinite groups “locally topologizable”? |
Jul 2 |
awarded | Curious |
Jun 2 |
awarded | Yearling |
Apr 24 |
comment |
An element $g$ in a group such that neither $g=1$ nor $g\ne 1$ can be proved.
@Dan, surely. What you said is basically Metatheorem 3.5.2 from my answer. |
Mar 8 |
awarded | Popular Question |
Jan 22 |
awarded | Organizer |
Jan 22 |
revised |
subsets of groups which have to be closed no matter what
arXiv's tags added |
Jan 22 |
suggested | suggested edit on subsets of groups which have to be closed no matter what |
Jan 22 |
awarded | Nice Answer |
Jan 22 |
answered | subsets of groups which have to be closed no matter what |