Conceps alonb 3. Mark each of the following true or false. very groun of order 159 is cyclic. obro to od tum 2 y group of order 102 has a nontrivial proper normal subgro GEvery solvbte sroup is of prime-power order. dEvery group of prime power order is solvable. womtd become tuite tedious to show that group of nompi simple by the methode illustrated fin the text. - f. No group of order 21 is simple. g. Every group of 125 elemente has at least Selements that com h. Every group of order 42 has a normal subgroup of order 7. Every group of onder 42 has a normal subgroup of order &. - j. The only simple geeups are the groups Z, and A, where p-is a

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Section 37 number 3 f and h
Conc pis
3. Mark each of the following true or false.
Every oroun of order 159 is cyclic.
very group of order 102 has a nontrivial proper normal subgro
&Every sofvble sroup is of prime-power order.
Every group of prime power order is solvable.
would beCOMIC tuite tedious to show that o group of nompi
simpte by the methods illustrated in the text.
- \f. No group of order 21 is simple.
Every group of 125elements has at least Selemente that co
<h. Every group of order 42 has a normal subgroup of order 7.
Every group of ender 42 has a normal subgroup of order 8
j. The only simple geem are thre groups Z, and A, where p is a
Transcribed Image Text:Conc pis 3. Mark each of the following true or false. Every oroun of order 159 is cyclic. very group of order 102 has a nontrivial proper normal subgro &Every sofvble sroup is of prime-power order. Every group of prime power order is solvable. would beCOMIC tuite tedious to show that o group of nompi simpte by the methods illustrated in the text. - \f. No group of order 21 is simple. Every group of 125elements has at least Selemente that co <h. Every group of order 42 has a normal subgroup of order 7. Every group of ender 42 has a normal subgroup of order 8 j. The only simple geem are thre groups Z, and A, where p is a
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