5- * 5) Let H and K be subgroups of a group G then о (н).0 (к) a) O(H * K) ,if (o(H) > Jo(G) and 0(K) > JO(G)). O(HNK) b) 0(H * K) = 0(H).0(K),if H n K = {e}. c) All above. O a O b O c

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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5- *
5) Let H and K be subgroups of a group G then
o(H).0 (K)
a) 0(H * K)
2,if (O(H) > JO(G) and 0(K) > JO(G).
O(HNK)
b) 0(H * K) = 0(H).0(K),if H n K = {e}.
c) All above.
a
O b
Transcribed Image Text:5- * 5) Let H and K be subgroups of a group G then o(H).0 (K) a) 0(H * K) 2,if (O(H) > JO(G) and 0(K) > JO(G). O(HNK) b) 0(H * K) = 0(H).0(K),if H n K = {e}. c) All above. a O b
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