The number of involutions in G is |G|/4, and every right coset of a Sylow...
70.2K
Verified Solution
Link Copied!
Question
Advance Math
The number of involutions in G is |G|/4, and every right coset of a Sylow 2-subgroup S of G not contained in NG(S) contains exactly one involution.
Answer & Explanation
Solved by verified expert
3.7 Ratings (502 Votes)
The number of Sylow 2subgroups of G is G NGS G12 Each of them contains three involutions and any two of them have trivial intersection byEvery Sylow 2subgroup of G is selfcentralising Moreover every two distinct Sylow 2subgroups of G have
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: Flex AI - Your personal assistant for all your inquiries!
