In the area of modern algebra known as group theory , the Held group He is a sporadic simple group of order
17-1179: [REDACTED] Look up held or Held in Wiktionary, the free dictionary. Held may refer to: Places [ edit ] Held Glacier People [ edit ] Arts and media [ edit ] Adolph Held (1885–1969), U.S. newspaper editor, banker, labor activist Al Held (1928–2005), U.S. abstract expressionist painter. Alexander Held (born 1958), German television and film actor Anna Held (1873–1918), Polish stage performer Carl Held (born 1931), U.S. actor. John Held, Jr. (1889–1958), U.S. illustrator. Louis Held (1851–1927), German photojournalist Ludwig Held (1837–1900), Austrian librettist Martin Held (1908–1992), German television and film actor S. S. Held , French science fiction and fantasy author Tom Held (1889–1962), American film editor Zeus B. Held (born 1950), German music producer and musician Education and academia [ edit ] David Held (1951–2019), British political theorist Madeline Held ,
34-561: A British academic Politics [ edit ] Heinrich Held (1868–1938), Minister-President of Bavaria Kurt Held (1897–1959), Jewish Communist and writer displaced from Germany during the Second World War Marcus Held (born 1977), German politician Science [ edit ] Friedrich Held (1812–1872), German malacologist Isaac Held , American meteorologist Sports [ edit ] Bud Held (born 1927), U.S. athlete who competed primarily in
51-490: A British academic Politics [ edit ] Heinrich Held (1868–1938), Minister-President of Bavaria Kurt Held (1897–1959), Jewish Communist and writer displaced from Germany during the Second World War Marcus Held (born 1977), German politician Science [ edit ] Friedrich Held (1812–1872), German malacologist Isaac Held , American meteorologist Sports [ edit ] Bud Held (born 1927), U.S. athlete who competed primarily in
68-410: A United States court case regarding the environment See also [ edit ] Held for Ransom (disambiguation) Held up (disambiguation) John Held (disambiguation) Topics referred to by the same term [REDACTED] This disambiguation page lists articles associated with the title Held . If an internal link led you here, you may wish to change the link to point directly to
85-410: A United States court case regarding the environment See also [ edit ] Held for Ransom (disambiguation) Held up (disambiguation) John Held (disambiguation) Topics referred to by the same term [REDACTED] This disambiguation page lists articles associated with the title Held . If an internal link led you here, you may wish to change the link to point directly to
102-445: A special role in the theory of the group; for example, the smallest representation of the Held group over any field is the 50-dimensional representation over the field with 7 elements, and it acts naturally on a vertex operator algebra over the field with 7 elements. The smallest permutation representation is a rank 5 action on 2058 points with point stabilizer Sp 4 (4):2. The graph associated with this representation has rank 5 and
119-596: Is directed ; the outer automorphism reverses the direction of the edges, decreasing the rank to 4. Since He is the normalizer of a Frobenius group 7:3 in the Monster group , it does not just commute with a 7-cycle, but also some 3-cycles. Each of these 3-cycles is normalized by the Fischer group Fi 24 , so He:2 is a subgroup of the derived subgroup Fi 24 ' (the non-simple group Fi 24 has 2 conjugacy classes of He:2, which are fused by an outer automorphism). As mentioned above,
136-490: Is one of the 26 sporadic groups and was found by Dieter Held ( 1969a , 1969b ) during an investigation of simple groups containing an involution whose centralizer is an extension of the extra special group 2 by the linear group L 3 (2), which is the same involution centralizer as the Mathieu group M 24 . A second such group is the linear group L 5 (2). The Held group is the third possibility, and its construction
153-522: The National Football League Sigfried Held (born 1942), German football player Woodie Held (1932–2009), Major league baseball player Arts, entertainment, and media [ edit ] De Held , a 2016 Dutch film "Held" (song) , a 1998 song by Smog Held (novel) , a 2023 novel by Anne Michaels Other uses [ edit ] Held group , a sporadic simple group found by Dieter Held Held v. Montana ,
170-441: The National Football League Sigfried Held (born 1942), German football player Woodie Held (1932–2009), Major league baseball player Arts, entertainment, and media [ edit ] De Held , a 2016 Dutch film "Held" (song) , a 1998 song by Smog Held (novel) , a 2023 novel by Anne Michaels Other uses [ edit ] Held group , a sporadic simple group found by Dieter Held Held v. Montana ,
187-1063: The 💕 [REDACTED] Look up held or Held in Wiktionary, the free dictionary. Held may refer to: Places [ edit ] Held Glacier People [ edit ] Arts and media [ edit ] Adolph Held (1885–1969), U.S. newspaper editor, banker, labor activist Al Held (1928–2005), U.S. abstract expressionist painter. Alexander Held (born 1958), German television and film actor Anna Held (1873–1918), Polish stage performer Carl Held (born 1931), U.S. actor. John Held, Jr. (1889–1958), U.S. illustrator. Louis Held (1851–1927), German photojournalist Ludwig Held (1837–1900), Austrian librettist Martin Held (1908–1992), German television and film actor S. S. Held , French science fiction and fantasy author Tom Held (1889–1962), American film editor Zeus B. Held (born 1950), German music producer and musician Education and academia [ edit ] David Held (1951–2019), British political theorist Madeline Held ,
SECTION 10
#1732851028763204-418: The intended article. Retrieved from " https://en.wikipedia.org/w/index.php?title=Held&oldid=1250148367 " Categories : Disambiguation pages Disambiguation pages with surname-holder lists Surnames from nicknames Hidden categories: Short description is different from Wikidata All article disambiguation pages All disambiguation pages held From Misplaced Pages,
221-411: The intended article. Retrieved from " https://en.wikipedia.org/w/index.php?title=Held&oldid=1250148367 " Categories : Disambiguation pages Disambiguation pages with surname-holder lists Surnames from nicknames Hidden categories: Short description is different from Wikidata All article disambiguation pages All disambiguation pages Held group He
238-619: The javelin. Cornelis den Held (1883–1962), Dutch athlete who competed at the 1908 Summer Olympics in London Dan Held (born 1961), Canadian former professional ice hockey centre Franz Held (born 1948), German rower who competed in the 1968 and 1972 Summer Olympics Henk-Jan Held (born 1967), Dutch volleyball player Marcin Held (born 1992), Polish mixed martial artist Mel Held (born 1929), American professional baseball player Oliver Held (born 1972), German football player Paul Held (1927–2019), former quarterback in
255-561: The javelin. Cornelis den Held (1883–1962), Dutch athlete who competed at the 1908 Summer Olympics in London Dan Held (born 1961), Canadian former professional ice hockey centre Franz Held (born 1948), German rower who competed in the 1968 and 1972 Summer Olympics Henk-Jan Held (born 1967), Dutch volleyball player Marcin Held (born 1992), Polish mixed martial artist Mel Held (born 1929), American professional baseball player Oliver Held (born 1972), German football player Paul Held (1927–2019), former quarterback in
272-482: The smallest permutation representation of He has 2058 points, and when realized inside Fi 24 ', there is an orbit of 2058 transpositions . Conway and Norton suggested in their 1979 paper that monstrous moonshine is not limited to the monster, but that similar phenomena may be found for other groups. Larissa Queen and others subsequently found that one can construct the expansions of many Hauptmoduln from simple combinations of dimensions of sporadic groups. For He ,
289-454: Was completed by John McKay and Graham Higman . In all of these groups, the extension splits. The outer automorphism group has order 2 and the Schur multiplier is trivial. The smallest faithful complex representation has dimension 51; there are two such representations that are duals of each other. It centralizes an element of order 7 in the Monster group . As a result the prime 7 plays
#762237