Logo
Home Study Material Contact Search
AI Chat FREE
  1. mathematics
  2. advance math
  3. let g be a nontrivial nilpotent group. prove that

Let G be a nontrivial nilpotent group. Prove that G has nontrivial center.

70.2K

Verified Solution

Question

Advance Math

Let G be a nontrivial nilpotent group. Prove that Ghas nontrivial center.

Answer & Explanation Solved by verified expert
4.1 Ratings (513 Votes)
a group G is called nilpotent if it admits a normal series e G0 G1 G2 Gr G in which Gi G and Gi1Gi ZGGi for all i A minimal normal subgroup is a nontrivial normal subgroup that contains no    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Zin AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students

Q

How long does it take homeowners who install solar panels to recover their investment 5...

Biology
Q

The medical community unanimously agrees on the health benefits of regular exercise, but are adults listening?...

Basic Math
Q

A data set about speed dating includes​ \"like\" ratings of male dates made by the female...

Statistics
Q

This question is about the sequential moves Stag Hunt game. There are two players. Player 1...

Advance Math
Q

Was B.F Skinner just a cool scientist who based his opinions only on observable behavior or...

Psychology
Q

Question 10 Points 2 Why did the Supreme Court originally strike down the death penalty...

Biology
Q

B A battery of internal resistance 42 is connected to the network of resistances as...

Physics
Q

A manufacturer of rechargeable laptop batteries markets its batteries as having on average 500 charges...

Statistics
Q

A pond contains 100 fish of which 27 are carp If 15 fish are caught...

Statistics
Q

3. In each of the following, use the Gauss-Jordan method as described in the online...

Calculus
Q

Warner Companys year-end unadjusted trial balance shows accounts receivable of $101,000, allowance for doubtful accounts...

Accounting
Q

Cash dividend payments have the following impact on the financial reports. A. Debit to expenses...

Accounting