bio | website | halgebra.math.msu.su/staff/… |
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location | Moscow | |
age | ||
visits | member for | 3 years, 2 months |
seen | Jul 28 at 2:43 | |
stats | profile views | 1,679 |
Aug 25 |
comment |
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 | approved 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 |
Jan 21 |
revised |
Fantastic properties of Z/2Z
added 12 characters in body |
Jan 21 |
answered | Fantastic properties of Z/2Z |
Jan 21 |
answered | Examples of cancellative normal semigroups |
Jan 20 |
comment |
Why the axiomatic rank of the variety of groups is equal to three?
Your octonion argument is much simpler and works perfectly. The algebra of all unit octonions or all non-zero octonions (with operations $\cdot$, ${\ }^{-1}$, and $1$) is non-associative but satisfies all two-variable laws that are consequences of the group axioms. |
Jan 19 |
answered | Non finitely based varieties of groups defined by finitely many variables |