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location Moscow
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visits member for 3 years, 2 months
seen Jul 28 at 2:43

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