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Q: किसी समूह में, अनुचित उपसमूहों (improper subgroups) की संख्या है–
  • A. 2
  • B. 3
  • C. समूह पर निर्भर
  • D. 1
Correct Answer: Option A - Two subgroups, G and {e} of the group G are called improper (or trivial) subgroups of G. Any subgroups other than these two subgroups is called a proper (or non-trivial) subgroups. अत: किसी समूह में अनुचित उपसमूहों की संख्या 2 है।
A. Two subgroups, G and {e} of the group G are called improper (or trivial) subgroups of G. Any subgroups other than these two subgroups is called a proper (or non-trivial) subgroups. अत: किसी समूह में अनुचित उपसमूहों की संख्या 2 है।

Explanations:

Two subgroups, G and {e} of the group G are called improper (or trivial) subgroups of G. Any subgroups other than these two subgroups is called a proper (or non-trivial) subgroups. अत: किसी समूह में अनुचित उपसमूहों की संख्या 2 है।