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Vipul Naik

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Name Vipul Naik
Member for 3 years
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Location Chicago
Age 27
Mathematics Ph.D. student at the University of Chicago
17h
awarded  Nice Question
May
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Apr
17
comment Homology groups of divisible and powered (nilpotent) groups
Thanks! Sorry I missed it in the first read.
Apr
16
comment Homology groups of divisible and powered (nilpotent) groups
@Adam: I just took a copy of the Hilton-Mislin-Roitberg book from my library, and reading it, Theorem 4.14 seems to be the closest to what you're saying. However, this theorem seems to explicitly assume that the abelian group that we are using for our coefficients is also local over the appropriate primes, so the result does not seem to apply to coefficients over $\mathbb{Z}$. Am I reading this correctly? Is there a later result that I am missing?
Apr
16
comment Homology groups of divisible and powered (nilpotent) groups
Thanks a lot! I haven't used spectral sequences much in the past, so I will need to read this later to understand it. I appreciate the work you put into confirming my example.
Apr
16
comment Homology groups of divisible and powered (nilpotent) groups
@Adam: Do you mean $\pi$-powered in the comment above, rather than $\pi$-divisible?
Apr
11
revised Homology groups of divisible and powered (nilpotent) groups
added 27 characters in body
Apr
11
comment Homology groups of divisible and powered (nilpotent) groups
I'm interested in the nilpotent case, but would like more general results if they exist. I'll modify the potentially confusing language.
Apr
11
asked Homology groups of divisible and powered (nilpotent) groups
Apr
11
answered Characteristic subgroup of uniquely p-divisible group that is not uniquely p-divisible
Mar
12
asked Characteristic subgroup of nilpotent group that is not invariant under powering
Mar
3
awarded  Nice Answer
Feb
18
asked Malcev Lie algebra and associated graded Lie algebra
Feb
13
comment Normal subgroup that is invariant under powering such that the quotient group is not invariant
Yes, this is exactly what I want. If I'm reading your paper correctly, this doesn't follow immediately from the result you reference, but probably could with some work. Thanks a lot! I'll read through the rest of your paper to see if it addresses some related questions.
Feb
12
comment Normal subgroup that is invariant under powering such that the quotient group is not invariant
HW's right, I want an example where $p^{th}$ roots always exist and are unique for both $G$ and $H$.
Feb
12
asked Normal subgroup that is invariant under powering such that the quotient group is not invariant
Jan
8
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6
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