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## FINITE GROUPS WHOSE IRREDUCIBLE CHARACTERS VANISH ONLY ON ELEMENTS OF PRIME POWER ORDER

#### Jinshan Zhang [1] , Zaixin Li [2] , Changguo Shao [3]

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The aim of this note is to investigate the finite groups whose irreducible characters vanish only on elements of prime power order. Interesting, we give a new characterization of A5, where A5 is the alternating group of degree 5.
finite groups, characters, zeros of characters
Other ID JA42BH99KY Articles Author: Jinshan Zhang Author: Zaixin Li Author: Changguo Shao
 Bibtex @ { ieja266318, journal = {International Electronic Journal of Algebra}, issn = {1306-6048}, eissn = {1306-6048}, address = {Abdullah HARMANCI}, year = {2011}, volume = {9}, pages = {114 - 123}, doi = {}, title = {FINITE GROUPS WHOSE IRREDUCIBLE CHARACTERS VANISH ONLY ON ELEMENTS OF PRIME POWER ORDER}, key = {cite}, author = {Zhang, Jinshan and Li, Zaixin and Shao, Changguo} } APA Zhang, J , Li, Z , Shao, C . (2011). FINITE GROUPS WHOSE IRREDUCIBLE CHARACTERS VANISH ONLY ON ELEMENTS OF PRIME POWER ORDER. International Electronic Journal of Algebra, 9 (9), 114-123. Retrieved from http://dergipark.org.tr/ieja/issue/25202/266318 MLA Zhang, J , Li, Z , Shao, C . "FINITE GROUPS WHOSE IRREDUCIBLE CHARACTERS VANISH ONLY ON ELEMENTS OF PRIME POWER ORDER". International Electronic Journal of Algebra 9 (2011): 114-123 Chicago Zhang, J , Li, Z , Shao, C . "FINITE GROUPS WHOSE IRREDUCIBLE CHARACTERS VANISH ONLY ON ELEMENTS OF PRIME POWER ORDER". International Electronic Journal of Algebra 9 (2011): 114-123 RIS TY - JOUR T1 - FINITE GROUPS WHOSE IRREDUCIBLE CHARACTERS VANISH ONLY ON ELEMENTS OF PRIME POWER ORDER AU - Jinshan Zhang , Zaixin Li , Changguo Shao Y1 - 2011 PY - 2011 N1 - DO - T2 - International Electronic Journal of Algebra JF - Journal JO - JOR SP - 114 EP - 123 VL - 9 IS - 9 SN - 1306-6048-1306-6048 M3 - UR - Y2 - 2019 ER - EndNote %0 International Electronic Journal of Algebra FINITE GROUPS WHOSE IRREDUCIBLE CHARACTERS VANISH ONLY ON ELEMENTS OF PRIME POWER ORDER %A Jinshan Zhang , Zaixin Li , Changguo Shao %T FINITE GROUPS WHOSE IRREDUCIBLE CHARACTERS VANISH ONLY ON ELEMENTS OF PRIME POWER ORDER %D 2011 %J International Electronic Journal of Algebra %P 1306-6048-1306-6048 %V 9 %N 9 %R %U ISNAD Zhang, Jinshan , Li, Zaixin , Shao, Changguo . "FINITE GROUPS WHOSE IRREDUCIBLE CHARACTERS VANISH ONLY ON ELEMENTS OF PRIME POWER ORDER". International Electronic Journal of Algebra 9 / 9 (June 2011): 114-123.